@ARTICLE {rAFF85a,
	author="L. Afflerbach and H. Grothe",
	title="Calculation of {M}inkowski-Reduced Lattice Bases",
	journal={Computing},
	volume={35},
	year={1985},
	pages={269--276}  }

@ARTICLE {rAFF86a,
	author="L. Afflerbach",
	title="The Sub-Lattice Structure of Linear Congruential
	  Random Number Generators",
	journal={Manuscripta Mathematica},
	volume={55},
	year={1986},
	pages={455--465}  }

@ARTICLE {rAFF88a,
	author="L. Afflerbach and H. Grothe",
	title="The Lattice Structure of Pseudo-Random Vectors
	  Generated by Matrix Generators",
	journal={Journal of Computational and Applied Mathematics},
	volume={23},
	year={1988},
	pages={127--131}  }

@TECHREPORT {rAFF88b,
	author={L. Afflerbach and R. Weilb\"acher},
	title="On Using Discrepancy for the Assessment of
           Pseudorandom Number Generators",
	institution="Fachbereich Mathematik, Technische Hochschule Darmstadt",
        number={1196},
	year={1988}  }

@ARTICLE {rAFF89a,
	author={L. Afflerbach and R. Weilb{\"a}cher},
	title="The Exact Determination of Rectangle Discrepancy
	  for Linear Congruential Pseudorandom Numbers",
	journal={Mathematics of Computation},
	volume={53},
	number={187},
	year={1989},
	pages={343--354}  }

@TECHREPORT {rAFF89b,
     author="L. Afflerbach",
     title="Criteria for the Assessment of Random Number Generators",
     institution="Fachbereich Mathematik, Technische Hochschule Darmstadt",
     number={Technical Report 1205},
     year={1989} }

@ARTICLE {rAGA02a,
        author={R. C. Agarwal and R. F. Enenkel and F. G. Gustavson and
                A. Kothari and m. Zubair},
        title="Fast pseudorandom-number generators with modulus $2^k$ or
               $2^k-1$ using fused multiply-add",
        journal={IBM Journal of Research and Development},
        volume={46},
        number={1},
        year={2002},
        pages={97--116}  }

@INPROCEEDINGS {rAGN88b,
    author       = {G. B. Agnew},
    title        = {Random Sources for Cryptographic Systems},
    booktitle    = {Advances in Cryptology: Proceedings of Eurocrypt 1987},
    year         = {1988},
    series       = {Lecture Notes in Computer Science},
    publisher    = {Springer-Verlag},
    address      = {Berlin},
    optvolume       = {},
    pages        = {77--81} }

@ARTICLE {rAHR72a,
	author="J. H. Ahrens and U. Dieter",
	year={1972},
	title="Computer Methods for Sampling from the Exponential
           and Normal Distributions",
	journal={Communications of the ACM},
	volume={15},
	pages={873--882 }  }

@ARTICLE {rAHR72b,
	author="J. H. Ahrens and U. Dieter",
	year={1972},
	title="Computer Methods for Sampling From Gamma, Beta,
            Poisson and Bionomial Distributions",
	journal={Computing},
	volume={12},
	pages={223--246}  }

@ARTICLE {rAHR80a,
	author="J. H. Ahrens and U. Dieter",
	year={1980},
	title="Sampling From Binomial and Poisson Distributions:
           a Method with Bounded Computation Times",
	journal={Computing},
	volume={25},
	pages={193--208}  }

@ARTICLE {rAHR81a,
	author="J. H. Ahrens and K. D. Kohrt",
	year={1981},
	title="Computer Methods for Efficient Sampling From
            Largely Arbitrary Statistical Distributions",
	journal={Computing},
	volume={26},
	pages={19--31}  }

@ARTICLE {rAHR82a,
	author="J. H. Ahrens and U. Dieter",
	year={1982},
	title="Generating Gamma Variates by a Modified Rejection Technique",
	journal={Communications of the ACM},
	volume={25},
	pages={47--54}  }

@ARTICLE {rAHR82b,
	author="J. H. Ahrens and U. Dieter",
	year={1982},
	title="Computer Generation of Poisson Deviates From Modified
               Normal Distributions",
	journal={ACM Trans. Math. Software},
	volume={8},
	pages={163--179}  }

@INPROCEEDINGS {rAHR89a,
	author="J. H. Ahrens and E. Stadlober",
	title="Non-Uniform Random Number Generation: A Survey and Tutorial",
	booktitle={Proceedings of the 1989 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1989},
	pages={??--??}  }

@unpublished {rAIE96a,
	author="W. Aiello and S. Rajagopalan and R. Venkatesan",
	title="Design of Practical and Provably Good Random Number Generators",
	institution="Bell Cmmunications Research",
        note={Manuscript (contact {\tt venkie@bellcore.com})},
	year={1996}  }

@article {rAIE98a,
	author="W. Aiello and S. Rajagopalan and R. Venkatesan",
	title="Design of Practical and Provably Good Random Number Generators",
	journal="Journal of Algorithms",
        volume ={29},
        number = {2},
        pages = {358--389},
	year={1998}  }

@ARTICLE {rALE88a,
	author="W. Alexi and B. Chor and O. Goldreich and C. P. Schnorr",
	title="{RSA} and {Rabin} Functions: Certain Parts are as
           Hard as the Whole",
	journal={SIAM Journal on Computing},
	volume={17},
	number={2},
	year={1988},
	pages={194--209}  }

@ARTICLE {rALT88a,
	author="N. S. Altman",
	title="Bit-Wise Behavior of Random Number Generators",
	journal={SIAM Journal on Scientific and Statistical Computing},
	volume={9},
	number={5},
	year={1988},
	pages={941--949}  }

@article{rAMS97a,
	author = {C. Amstler},
	title = {Some Remarks on a Discrepancy in Compact Groups},
	journal = {Arch. Math.},
	volume = {68},
	pages = {274--284},
	year = {1997},
	abstract = {}
	}

@ARTICLE {rAND90a,
	author="D. L. Andr{\'e} and G. L. Mullen and H. Niederreiter",
	title="Figures of Merit for Digital Multistep Pseudorandom Number",
	journal={Mathematics of Computation},
	volume={54},
	year={1990},
	pages={737--748}  }

@ARTICLE {rAND90b,
	author="S. L. Anderson",
	title="Random Number Generators on Vector Supercomputers and Other
	       Advanced Architecture",
	journal={SIAM Review},
	volume={32},
	year={1990},
	pages={221--251}  }

@TECHREPORT {rAND95a,
     author="T. Andres",
     title="Algorithms for Pseudorandom Number Generators",
     institution="AECL",
     number={Report AECL-10983/COG-93-423},
     date={FEB-28},
     version={02A},
     year={1995} }

@ARTICLE{rANT79a,
       author = {I. A. Antonov and  V. M. Saleev},
       title = {An Economic Method of Computing {LP}$_\tau$-Sequences},
       journal = {Zh. Vychisl. Mat. i. Mat. Fiz.},
       volume = {19},
       pages = {243--245},
       note = {In {R}ussian},
       year = {1979}}

@ARTICLE {rANT96a,
	author="M. V. Antipov",
	title="Sequences of Numbers for {M}onte {C}arlo Methods",
	journal={{M}onte {C}arlo Methods and Applications},
	volume={2},
        number={3},
	year={1996},
	pages={219--235}  }

@ARTICLE {rARV78a,
	author="A. C. Arvillias and D. G. Maritsas",
	title="Partitioning the Period of a Class of $m$-Sequences
	  and Application to Pseudorandom Number Generation",
	journal={Journal of the ACM},
	volume={25},
	number={4},
	year={1978},
	pages={675--686}  }

@ARTICLE {rATK80a,
	author="A. C. Atkinson",
	title="Tests of Pseudo-Random Numbers",
	journal={Applied Statistics},
	volume={29},
	year={1980},
	pages={164--171}  }

@ARTICLE {rBAC88a,
	author="E. Bach",
	title="How to Generate Factored Random Numbers",
	journal={SIAM Journal on Computing},
	volume={17},
        number={2},
	year={1988},
	pages={179--193}  }

@ARTICLE {rBAI94a,
	author="R. W. Bailey",
	year={1994},
	title="Polar Generation of Random Variates with the $t$-Distribution",
	journal={Mathematics of Computation},
	volume={62},
	number={206},
	pages={779--781}  }

@BOOK {rBAL88a,
	author="J. L. Balc{\'a}zar and J. D{\'i}az and J. Gabarr{\'o}",
	title={Structural Complexity {I}},
	publisher="Springer-Verlag",
	year={1988},
	volume={11},
	series={EATCS Monographs on Theoretical Computer Science}  }

@techreport {rBAR06a,
   author = {E. Barker and J. Kelsey},
   title  = {Recommendation for Random Number Generation Using
             Deterministic Random Bit Generators},
   institution = {U.S. DoC/National Institute of Standards and Technology},
   year      = {2006},
   type      = {{SP}-800-90},
   note      = {See \url{http://csrc.nist.gov/publications/nistpubs/}},
   pages    = {1--131}   }

@techreport {rBAR06b,
   key = {NIST},
   author = {E. Barker and W. Barker and W. Burr and W. Polk and M. Smid},
   title  = {Recommendation for Key Management},
   institution = {National Institute of Standards and Technology ({NIST})},
   year      = {2006},
   month     = {May},
   type      = {{NIST} Special Publication 800-57, revised},
   note      = {See \url{http://csrc.nist.gov/publications/nistpubs/index.html}},
   Xpages    = {}   }

@Unpublished{rBAU03a,
  author = 	 {H. Bauke and S. Mertens},
  title = 	 {Pseudorandom Coins Show More Heads than Tails},
  note = 	 {Manuscript},
  institution =  {Institut f\"ur Theoretische Physik,
                  Otto-von-Guericke Universit\"at, Germany},
  year =	 {2003},
  optannote = 	 {}
}

@article{rBAU04a,
  author = {Heiko Bauke and Stephan Mertens},
  title = {Pseudo Random Coins Show More Heads Than Tails},
  journal = {Journal of Statistical Physics},
  volume = {114},
  year = {2004},
  pages = {1149--1169},
  note =  {\url{http://arxiv.org/abs/cond-mat/0307138}}
}

@article{rBAU04b,
  old = {rBAU03a},
  author = {Stephan Mertens and Heiko Bauke},
  title = {Entropy of Pseudo Random Number Generators},
  year = {2004},
  journal = {Physical Review {E}},
  volume = {69},
  pages = {055702(R)},
  note =  {\url{http://arxiv.org/abs/cond-mat/0305319}}
}

@article{rBAU07a,
  old =   {rBAU06a},
  author = {Heiko Bauke and Stephan Mertens},
  title = {Random Numbers for Large-Scale Distributed {M}onte {C}arlo Simulations},
  year =  {2007},
  journal = {Physical Review {E}},
  volume = {75},
  pages = {066701-1}
}

@ARTICLE {rBEA88a,
	author="P. Beauchemin and G. Brassard and C. Cr\'epeau
	   and C. Goutier and C. Pomerance",
	title="The Generation of Random Numbers That Are Probably Prime",
	journal={Journal of Cryptology},
	volume={1},
	year={1988},
	pages={53--64}  }

@INPROCEEDINGS {rBEL96a,
	author="M. Bellare and R. Canetti and H. Krawczyk",
	title={Pseudorandom Functions Revisited: The Cascade Construction and
	       and its Concrete Security},
	booktitle={Proceedings of the 37rd Symposium on Foundations of
	           Computer Science},
	xpages={},
  publisher = {{IEEE} Press},
	address={New York, NY},
	year={1996},
	note = {Extended abstract; the full paper, revised in 2005, is available at
	    \url{http://www.research.ibm.com/intsec/vpn.html}},
}

@unpublished {rBEL05a,
	author="M. Bellare and R. Canetti and H. Krawczyk",
	title={Pseudorandom Functions Revisited: The Cascade Construction and
	       and its Concrete Security},
	note = {Manuscript available at \url{http://www.research.ibm.com/intsec/vpn.html}
	        (an extended abstract appeared in the Proceedings of the 37rd
	        Symposium on Foundations of Computer Science, {IEEE} Press, 1996)},
	xpages={},
	year={2005},
}

@INCOLLECTION {rBER85a,
   author    ="R. E. Berger and C. Honorton",
   title     ="{PSILAB:} A Standardized Psi-Testing System",
   booktitle = {Research in Parapsychology 1984},
   editor    = {R. A. White and J. Solfvin},
   publisher = {The Scarecrow Press},
   address   = {Metuchen, New Jersey, USA},
   pages     = {68--71},
   year      = {1985},
   annote = {hardware rng, physical device},
}

@ARTICLE {rBER96a,
	author="A. S. Berdnikov and S. B. Turtia and A. Compagner",
	title="A {M}ath{L}ink Program for High-Quality Random Numbers",
	journal={The Mathematica Journal},
	volume={6},
	number={3},
	year={1996},
	pages={65--69}  }

@Article{rBER90a,
  author = 	 {G. Bernstein and M. Lieberman},
  title = 	 {Secure Random Number Generation Using Chaotic Circuits},
  journal = 	 {{IEEE} Transactions on Circuits and Systems},
  year = 	 {1990},
  volume =	 {37},
  number =	 {9},
  pages =	 {1157--1164},
  optannote = 	 {chaos, physical}
}

@INPROCEEDINGS{rBES78a,
	author="D. J. Best",
	title="A Simple algorithm for the computer generation of random samples
          from a {S}tudent's $t$ or Symmetric Beta Distribution",
        editor = {L. C. A. Corsten and J. Hermans },
        publisher = {Physica-Verlag},
	booktitle={{COMPSTAT} 1978: Proceedings in Computational statistics},
	pages={341--347},
	address={Vienna},
        isbn = {3 7908 0196 8},
	year={1978} }


@ARTICLE {rBEY71a,
	author="W. A. Beyer and R. B. Roof and D. Williamson",
	title="The Lattice Structure of Multiplicative Congruential
                Pseudo-Random Vectors",
	journal={Mathematics of Computation},
	volume={25},
	number={114},
	year={1971},
	pages={345--363}  }

@INCOLLECTION {rBIE98a,
   author    ="J.~Bierbrauer and Y.~Edel",
   title     ="Construction of digital nets from {BCH}-codes",
   booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
   editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                and P. Zinterhof},
   publisher = {Springer-Verlag},
   address   = {New York, NY},
   volume    = {127},
   pages     = {221--231},
   year      = {1998},
   series    = {Lecture Notes in Statistics} }

@ARTICLE {rBIH91a,
	author="E. Biham and A. Shamir",
	title="Differential Cryptanalysis of {DES}-Like Cryptosystems",
	journal={Journal of Cryptology},
	volume={4},
	number={1},
	year={1991},
	pages={3--72},
	annote = {linear dependencies, linear structure}
}

@INPROCEEDINGS {rBLU82a,
	author="M. Blum and S. Micali",
	title={How to Generate Cryptographically Strong Sequences
	   of Pseudo-Random Bits},
	booktitle={Proceedings of the 23rd {IEEE} Symposium on Foundations of
	           Computer Science},
	pages={112--117},
	address={New York, NY},
	year={1982} }

@ARTICLE {rBLU84a,
	author="M. Blum and S. Micali",
	title="How to Generate Cryptographically Strong Sequences of
	       Pseudo-Random Bits",
	journal={SIAM Journal on Computing},
	year={1984},
	volume={13},
	number={4},
	pages={850--864}}

@ARTICLE {rBLU86a,
	author="L. Blum and M. Blum and M. Schub",
	title="A Simple Unpredictable Pseudo-Random Number Generator ",
	journal={SIAM Journal on Computing},
	year={1986},
	volume={15},
	number={2},
	pages={364--383},
	xnote={Preliminary version published in
           {\it Proceedings of {CRYPTO'82}, 61--78}}  }

@ARTICLE {rBLU86b,
	author="M. Blum",
	title="Independent Unbiased Coin Flips From a Correlated Biased
	       Source---A Finite State {M}arkov Chain",
	journal={Combinatorica},
	year={1986},
	volume={6},
	number={2},
	pages={97--108}}

@UNPUBLISHED {rBOP88a,
	author="R. B. Boppana and R. Hirschfeld",
	title="Pseudorandom Generators and Complexity",
	note={Manuscript},
	year={1988}  }

@ARTICLE {rBOR83a,
	author="I. Borosh and H. Niederreiter",
	year={1983},
	title="Optimal multipliers for pseudo-random number generation by
               the linear congruential method",
	journal={BIT},
	volume={23},
	pages={65--74}  }

@MASTERSTHESIS {rBOU94a,
	author = "M. Boucher",
	title = {La G\'en\'eration Pseudo-al\'eatoire
           Cryptographiquement S\'ecuritaire et ses
           Consid\'erations Pratiques},
	school={D\'epartement d'{I.R.O.}, Universit\'e de Montr\'eal},
	year ={1994} }

@ARTICLE {rBOX58a,
	author="G. E. P. Box and M. E. Muller",
	year={1958},
	title="A Note on the Generation of Random Normal Deviates",
	journal={Annals of Mathematical Statistics},
	volume={29},
	pages={610--611}  }

@ARTICLE {rBOY89a,
	author="J. Boyar",
	title="Inferring Sequences Produced by a Linear Congruential Generator
	   Missing Low-Order Bits",
	journal={Journal of Cryptology},
	volume={1},
	number={3},
	year={1989},
	pages={177--184}  }

@ARTICLE {rBOY89b,
	author="J. Boyar",
	title="Inferring Sequences Produced by Pseudo-Random
               Number Generators",
	journal={Journal of the ACM},
	year={1989},
	volume={36},
	number={1},
	pages={129--141} }

@ARTICLE {rBRA88c,
	author="P. Bratley and B. L. Fox",
	title="Algorithm 659: Implementing {S}obol's
           Quasirandom Sequence Generator",
	journal={ACM Transactions on Mathematical Software},
	volume={14},
	number={1},
	year={1988},
	pages={88--100}  }

@ARTICLE {rBRA92a,
        author="P. Bratley and B. L. Fox and H. Niederreiter",
        title="Implementation and Tests of Low-discrepancy Sequences",
        journal={ACM Transactions on Modeling and Computer Simulation},
        volume={2},
        year={1992},
        pages={195--213} }

@ARTICLE {rBRA94a,
        author="P. Bratley and B. L. Fox and H. Niederreiter",
        title="Algorithm 738:  Programs to Generate {N}iederreiter's
               Low-discrepancy Sequences",
        journal={ACM Transactions on Mathematical Software},
        volume={20},
        year={1994},
        pages={494--495} }

@incollection{rBRA11a,
   author = {Thomas Bradley and Jacques du Toit and  Robert Tong and Mike Giles and Paul Woodhams},
   title = {Parallelization techniques for random number generations},
   editors = {W.-M. W. Hwu},
   booktitle = {{GPU} Computing Gems Emerald Edition},
   note = {Chapter 16},
   pages = {231--246},
   publisher = {Morgan Kaufmann},
   year = {2011} }

@Article{rBRE94a,
  author = 	 {R. P. Brent},
  title = 	 {On the Periods of Generalized Fibonacci Recurrences},
  journal = 	 {Mathematics of Computation},
  year = 	 {1994},
  volume =	 {63},
  number =	 {207},
  pages =	 {389--401},
  optannote = 	 {}
}

@article {rBRE03a,
    author = {R. P. Brent and S. Larvala and P. Zimmermann},
     title = {A fast algorithm for testing reducibility of trinomials mod 2
              and some new primitive trinomials of degree 3021377},
   xjournal = {Math. Comp.},
   journal = {Mathematics of Computation},
    volume = {72},
      year = {2003},
    number = {243},
     pages = {1443--1452},
      issn = {0025-5718},
     coden = {MCMPAF},
   MRCLASS = {11T06 (11B83 11Y16)},
  MRnumber = {1 972 745},
MRREVIEWER = {Samuel S. Wagstaff, Jr.},
}

@InProceedings{rBRE03b,
  author =       {R. P. Brent and P. Zimmermann},
  title =        {Random Number Generators with Period Divisible by a
                  {M}ersenne Prime},
  booktitle = 	 {Computational Science and its Applications---ICCSA 2003},
  series =	 {Lecture Notes in Computer Science},
  volume = {2667},
  year =	 {2003},
  pages =  {1--10},
  editor = {V. Kumar and M. L. Gavrilova and
            C. J. K. Tan and P. L'Ecuyer},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@ARTICLE {rBRE04a,
        old = {rBRE03b},
	author="R. P. Brent",
	title="Note on {M}arsaglia's Xorshift Random Number Generators",
	journal={Journal of Statistical Software},
	volume={11},
  number={5},
  xnote={See \url{http://www.jstatsoft.org/v11/i05/brent.pdf}},
	year={2004},
	pages={1--4},
}

@UNPUBLISHED {rBRE04b,
        author="R. P. Brent",
        title="Some Uniform and Normal Random Number Generators",
        year={2004},
        note={\url{http://web.comlab.ox.ac.uk/oucl/work/richard.brent/random.html}},
}

@TECHREPORT {rBRO02a,
	author="F. B. Brown and Y. Nagaya",
	title="The {MCNP5} Random Number Generator",
        institution="Los Alamos National Laboratory",
        number={LA-UR-02-3782},
	year={2002}  }

@ARTICLE {rBRO79a,
	author="M. Brown and H. Solomon",
	title="On Combining Pseudorandom Number Generators",
	journal={Annals of Statistics},
	volume={1},
	year={1979},
	pages={691--695}  }

@ARTICLE{rBUN93,
   author = "P. Bundschuh and Y. Zhu",
   title = "A method for exact calculation of the discrepancy of
            low-dimensional finite point sets {I}",
   journal = "Abh. Math. Sem. Univ. Hamburg",
   volume = 63,
   pages = "~115--133",
   year = 1993 }

@phdthesis {rCAR89a,
   author    = {G. D. Carter},
   title     = {Aspects of Local Linear Complexity},
   year      = {1989},
   school    = {University of London} }

@ARTICLE {rCAR90a,
	author="D. G. Carta",
	title="Two Fast Implementations of the ``Minimal Standard''
           Random Number Generator",
	journal={Communications of the ACM},
	volume={33},
	number={1},
	optmonth={Jan},
	year={1990},
	pages={87--88}  }

@ARTICLE {rCEL86a,
	author="W. Celmaster and K. J. M. Moriarty",
	title="A Method for Vectorized Random Number Generators",
	journal={Journal of Computational Physics},
	volume={64},
	year={1986},
	pages={271--275}  }

@article{rCHA66a,
	author = {G. J. Chaitin},
	title = {On the Length of Programs for Computing Finite Binary
             Sequences},
	journal = {Journal of the Association of Computing Machinery},
	volume = {13},
	pages = {547--569},
	year = {1966} }

@article{rCHA69a,
	author = {G. J. Chaitin},
	title = {On the Length of Programs for Computing Finite Binary
             Sequences: Statistical Considerations},
	journal = {Journal of the Association of Computing Machinery},
	volume = {16},
	pages = {145--159},
	year = {1969} }

@article{rCHA75a,
	author = {G. J. Chaitin},
	title = {Randomness and Mathematical Proof},
	journal = {Scientific American},
	volume = {232},
	pages = {47--52},
	year = {1975} }

@article{rCHA76a,
	author = {J. M. Chambers and C. L. Mallows and B. W. Stuck},
	title = {A Method for Simulating Stable Random Variables},
	journal = {Journal of the American Statistical Association},
	volume = {71},
	pages = {340--344},
	year = {1976} }

@ARTICLE {rCHA86a,
	author="U. Chandrasekaran and S. Sheppard",
	title="Implementation and Analysis of Random Variate Generators in Ada",
	journal={Journal of Pascal Ada \& Modula-2},
	volume={5},
	year={1986},
        month={July/Aug.},
	pages={27--39}  }

@ARTICLE {rCHA89a,
	author="P. Chassaing",
	title="An Optimal Random Number Generator on $Z_p$",
	journal={Statistics and Probability Letters},
	volume={7},
	year={1989},
	pages={307--309}  }

@ARTICLE {rCHE74a,
	author="H. C. Chen and Y. Asau",
	year={1974},
	title="On Generating Random Variates From an Empirical Distribution",
	journal={{AIEE} Transactions},
	volume={6},
	pages={163--166}  }

@Article{rCHE77a,
  author = 	 {R. C. H. Cheng},
  title = 	 {The Generation of Gamma Variables with Non-integral
                  Shape Parameter},
  journal = 	 {Applied Statistics},
  year = 	 {1977},
  volume =	 {26},
  optnumber = 	 {},
  pages =	 {71--75},
  optannote = 	 {}
}

@ARTICLE {rCHE78a,
	author="R. C. H. Cheng",
	year={1978},
	title="Generating Beta Variates with Nonintegral Shape Parameters",
	journal={Communications of the ACM},
	volume={21},
	pages={317--322}  }

@ARTICLE {rCHE79a,
	author="R. C. H. Cheng and G. M. Feast",
	year={1979},
	title="Some Simple Gamma Variate Generators",
	journal={Applied Statistics},
	volume={28},
	pages={290--295}  }

@ARTICLE {rCHE93a,
	author="M.-H. Chen and B. W. Schmeiser",
	title="Performance of the {G}ibbs, Hit-and-Run, and {M}etropolis Samplers",
	journal={Journal of Computational and Graphical Statistics},
	volume={2},
	year={1993},
	pages={251--272}  }

@INCOLLECTION {rCHE95a,
	author="J. Chen and P. Whitlock",
	title="Implementation of a Distributed Pseudorandom Number Generator",
	booktitle={{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
               Scientific Computing},
        publisher={Springer-Verlag},
        editor={H. Niederreiter and P. J.-S. Shiue},
        series={Lecture Notes in Statistics},
        volume={106},
	year={1995},
	pages={168--185}  }

@ARTICLE {rCHE96a,
	author="M.-H. Chen and B. W. Schmeiser",
	title="General Hit-and-Run {Monte Carlo} Sampling for Evaluating Multidimensional Integrals",
	journal={Operations Research Letters},
	volume={19},
	number = {4},
	year={1996},
	pages={161--169}  }

@INCOLLECTION {rCHE98a,
      author="R. C. H. Cheng",
      title={Random Variate Generation},
      booktitle={Handbook of Simulation},
      editor={Jerry Banks},
      publisher="Wiley",
      pages = {139--172},
      note={chapter 5},
      isbn = {0-471-13403-1},
      Price = {\$125. US},
      year={1998} }

@ARTICLE {rCHE98b,
	author="M.-H. Chen and B. W. Schmeiser",
	title="Toward Black-Box Sampling: A Random Direction Interior-Point {Markov} Chain Approach",
	journal={Journal of Computational and Graphical Statistics},
	volume={7},
	number = {1},
	year={1998},
	pages={1--22}  }

@article{rCHI94a,
 title = "Several extensively tested random number generators",
 journal = "Computers &amp; Operations Research",
 volume = "21",
 number = "9",
 pages = "1035--1039",
 year = "1994",
 doi = "10.1016/0305-0548(94)90074-4",
 url = "http://www.sciencedirect.com/science/article/pii/0305054894900744",
 author = "K. Chiang and J. Y. Wong"
}

@ARTICLE {rCHO88a,
	author="B. Chor and O. Goldreich",
	title="Unbiased Bits From Sources of Weak Randomness and
           Probabilistic Communication Complexity",
	journal={SIAM Journal on Computation},
	volume={17},
	number={2},
	year={1988},
	pages={230--261}  }

@INCOLLECTION {rCHO95a,
	author="W.-S. Chou and H. Niederreiter",
	title="On the Lattice Test for Inversive Congruential
               Pseudorandom Numbers",
	booktitle={{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
               Scientific Computing},
        publisher={Springer-Verlag},
        editor={H. Niederreiter and P. J.-S. Shiue},
        series={Lecture Notes in Statistics},
        volume={106},
	year={1995},
	pages={186--197}  }

@article {rCHO95b,
   author    = {W.-S. Chou},
   title     = {On Inversive Maximal Period Polynomials over Finite Fields},
   journal   = {Appl. Algebra Engrg. Comm. Comput.},
   volume    = {6},
   pages     = {245--250},
   year      = {1995} }

@Article{rCHU40a,
  author = 	 {A. Church},
  title = 	 {On the Concept of a Random Sequence},
  journal = 	 {Bull. Amer. Math. Society},
  year = 	 {1940},
  volume =	 {46},
  pages =	 {130--135}
}

@ARTICLE {rCHU87a,
	author="F. R. K. Chung and P. Diaconis and R. L. Graham",
	title="Random Walks Arising in Random Number Generation",
	journal={The Annals of Probability},
	volume={15},
	number={3},
	year={1987},
	pages={1148--1165}  }

@ARTICLE {rCLA99a,
	author="A. T. Clayman and K. M. Lawrence and G. L. Mullen and
                H. Niederreiter and N. J. A. Sloane",
	title="Updated tables of parameters of $(t, m, s)$-nets",
	journal={Journal of Combinatorial designs},
	volume={7},
	number={5},
	year={1999},
	pages={381--393}  }

@ARTICLE {rCOD94a,
        author="P. D. Coddington",
        title="Analysis of Random Number Generators Using {M}onte {C}arlo
               Simulation",
        journal={International Journal of Modern Physics},
        volume={C 5},
        year={1994},
        pages={547}  }

@ARTICLE {rCOL86a,
	author="B. J. Collings and G. B. Hembree",
	title="Initializing Generalized Feedback Shift Register
           Pseudorandom Number Generators",
	journal={Journal of the ACM},
	volume={33},
	year={1986},
	pages={706--711},
	note={Addendum, same journal, {\bf 35}, 4 (1988) 1001}  }

@ARTICLE {rCOL87a,
	author="B. J. Collings",
	title="Compound Random Number Generators",
	journal={Journal of the American Statistical Association},
	volume={82},
	number={398},
	year={1987},
	pages={525--527}  }

@ARTICLE {rCOM87a,
	author="A. Compagner and A. Hoogland",
	title="Maximum Length Sequences, Cellular Automata,
               and Random Numbers",
	journal={Journal of Computational Physics},
	volume={71},
	year={1987},
	pages={391--428}  }

@ARTICLE {rCOM91a,
	author="A. Compagner",
	title="The Hierarchy of Correlations in Random Binary Sequences",
	journal={Journal of Statistical Physics},
	volume={63},
	year={1991},
	pages={883--896}  }

@ARTICLE {rCOM91b,
	author="A. Compagner",
	title="Definitions of Randomness",
	journal={American Journal of Physics},
	volume={59},
	year={1991},
	pages={700--705}  }

@ARTICLE {rCOM95a,
	author="A. Compagner",
	title="Operational Conditions for Random Number Generation",
	journal={Physical Review E},
	volume={52},
	number={5-B},
	year={1995},
	pages={5634--5645}  }

@article{rCOO06a,
  author =       {R. Cools and F. Y. Kuo and D. Nuyens},
  title =        {Constructing embedded lattice rules for multivariate integration},
  journal = 	 {{SIAM} Journal on Scientific Computing},
  pages =	 {2162--2188},
  volume = {28},
  number = {16},
  year =       {2006},
}

@article{rCOO06b,
  author =       {R. Cools and D. Nuyens},
  title =        {The role of structured matrices for the construction of integration lattices},
  journal = 	 {Journal of Numerical Analysis, Industrial and Applied Mathematics},
  pages =	 {257--272},
  volume = {1},
  number = {3},
  year =   {2006},
}

@inproceedings{rCOR99a,
  author    = "J. S. Coron and D. Naccache",
  title     = "An Accurate Evaluation of {M}aurer's Universal Test",
  editor    = {S. E. Tavares and  H. Meijer},
  booktitle = {Selected Areas in Cryptography, Proceedings of the
               5th Annual International Workshop, SAC'98},
  publisher = {Springer-Verlag},
  series    = {Lecture Notes in Computer Science},
  volume    = {1556},
  isbn      = {3-540-65894-7},
  xnote      = {Available at \url{http://dblp.uni-trier.de}},
  pages     = {57--71},
  year      = {1999}
}

@ARTICLE {rCOU93a,
	author="R. Couture and P. L'Ecuyer and S. Tezuka",
	title="On the Distribution of $k$-Dimensional Vectors for Simple and
	       Combined {T}ausworthe Sequences",
	journal={Mathematics of Computation},
	volume={60},
	year={1993},
	number={202},
	pages={749--761, S11--S16}  }

@ARTICLE {rCOU94a,
	author="R. Couture and P. L'Ecuyer",
	title="On the Lattice Structure of Certain Linear Congruential
	       Sequences Related to {AWC/SWB} Generators",
	journal={Mathematics of Computation},
	volume={62},
	year={1994},
	number={206},
	pages={798--808} }

@INPROCEEDINGS {rCOU95a,
	author="R. Couture and P. L'Ecuyer",
	title="Linear Recurrences with Carry as Random Number Generators",
	booktitle={Proceedings of the 1995 Winter Simulation Conference},
        PUPLISHER={{IEEE} Press},
	year={1995},
	pages={263--267}  }

@ARTICLE {rCOU96a,
        old="rCOU94b",
	author="R. Couture and P. L'Ecuyer",
	title="Orbits and Lattices for Linear Random Number Generators
               with Composite Moduli",
	journal={Mathematics of Computation},
        volume={65},
        number={213},
	year={1996},
	pages={189--201}  }

@UNPUBLISHED {rCOU96x,
	author="R. Couture and P. L'Ecuyer",
	title="Computation of a Shortest vector
           and {M}inkowski-Reduced Bases in a Lattice",
	xjournal={},
	xvolume={},
	year={1996},
	note={In preparation} }

@ARTICLE {rCOU97a,
	author="R. Couture and P. L'Ecuyer",
	title="Distribution Properties of Multiply-with-Carry
               Random Number Generators",
	journal={Mathematics of Computation},
        volume={66},
        number={218},
	year={1997},
	pages={591--607}  }

@ARTICLE {rCOU00a,
        old = {rCOU99a},
	author="R. Couture and P. L'Ecuyer",
	title="Lattice Computations for Random Numbers",
	journal={Mathematics of Computation},
        volume={69},
        number={230},
	year={2000},
	pages={757--765}  }

@ARTICLE {rCOV67a,
	author="R. R. Coveyou and R. D. MacPherson",
	title="Fourier Analysis of Uniform Random Number Generators",
	journal={Journal of the ACM},
	volume={14},
	year={1967},
	pages={100--119}  }

@INPROCEEDINGS {rCOV69a,
	author="R. R. Coveyou",
	title="Random number generation is too important to be left to chance",
        series={Studies in applied mathematics 3},
	booktitle={Applied Probability and Monte Carlo Methods and modern
                   aspects of dynamics},
	publisher="Society for Industrial and Applied Mathematics",
        address = {Philadelphia, PA},
	year={1969},
	pages={70--111}  }

@book {rDAE02a,
        author = {J. Daemen and V. Rijmen},
        title = {The Design of Rijndael},
        year = {2002},
        note = {See \url{http://www.esat.kuleuven.ac.be/~rijmen/rijndael/}},
        publisher = {Springer Verlag},
        address = {New York, NY} }

@BOOK {rDAG88a,
	author="J. Dagpunar",
	title={Principles of Random Variate Generation},
	publisher="Oxford University Press",
	year={1988}  }

@INPROCEEDINGS {rDAL92a,
	author="J. W. {Dalle Molle} and M. J. Hinich and D. J. Morrice",
	title={Higher-Order Cumulant Spectral Based Statistical Tests of
	       Pseudo Random Variate Generators},
	booktitle={Proceedings of the 1992 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1992},
	pages={618--625}  }

@ARTICLE {rDEA90a,
	author="I. De\'ak",
	title="Uniform Random Number Generators for Parallel Computers",
	journal={Parallel Computing},
	volume={15},
	year={1990},
	pages={155--164}  }

@ARTICLE {rDEH83a,
	author="P. Deheuvels",
	title="Strong Bounds for Multidimensional Spacings",
	journal={Z. fur Wahrsch. Verw. Geb.},
	volume={64},
	year={1983},
	pages={411--424}  }

@ARTICLE {rDEM88a,
	author="A. {De Matteis} and S. Pagnutti",
	title="Parallelization of Random Number Generators and
           Long-Range Correlations",
	journal={Numerische Mathematik},
	volume={53},
	year={1988},
	pages={595--608}  }

@ARTICLE {rDEM90a,
	author="A. {De Matteis} and S. Pagnutti",
	title="A Class of Parallel Random Number Generators",
	journal={Parallel Computing},
	volume={13},
	year={1990},
	pages={193--198}  }

@article {rDEM95a,
   author    = {A. {De Matteis} and S. Pagnutti},
   title     = {Controlling Correlations in Parallel {M}onte {C}arlo},
   journal   = {Parallel Computing},
   year      = {1995},
   volume    = {21},
   pages     = {73--84} }

@Article{rDEN90a,
  author = 	 {L.-Y. Deng and E. O. George},
  title = 	 {Generation of Uniform Variates from Several Nearly
                  Uniformly Distributed Variables},
  journal = 	 {Communications in Statistics},
  year = 	 {1990},
  volume =	 {B19},
  number =	 {1},
  pages =	 {145--154},
  optannote = 	 {}
}

@inproceedings{rDEN91a,
 author = {Deng, Lih-Yuan and Chu, Yu-Chao},
 title = {Combining random number generators},
 booktitle = {Proceedings of the 1991 Winter Simulation Conference},
 year = {1991},
 isbn = {0-7803-0181-1},
 pages = {1043--1046},
 location = {Phoenix, Arizona},
 publisher = {IEEE Computer Society},
 optaddress = {Washington, DC, USA},
 }

@inproceedings{rDEN92a,
  author = 	 {L.-Y. Deng and C. Rousseau and Y. Yuan},
  title = 	 {Generalized Lehmer-Tausworthe Random Number Generators},
  booktitle = 	 {Proceedings of the 30th Annual {ACM} Southeast Regional
                  Conference, Raleigh, NC},
  month =        {April},
  year = 	 {1992},
  pages =	 {108--115},
  optannote = 	 {}
}

@Article{rDEN92b,
  author = 	 {L.-Y. Deng and R. S. Chhikara},
  title = 	 {Robustness of Some Random Variate Generators},
  journal = 	 {Statistica Neerlandica},
  year = 	 {1992},
  volume =	 {46},
  number =       {2--3},
  pages =	 {195--207},
  optannote = 	 {}
}

@Article{rDEN94a,
  author = 	 {L.-Y. Deng and K. H. Chan and Y. Yuan},
  title = 	 {Design and Implementation of Random Number Generators
                  for Multiprocessor Systems},
  journal = 	 {International Journal of Modeling and Simulation},
  year = 	 {1994},
  volume =	 {14},
  number =       {4},
  pages =	 {185--191},
  optannote = 	 {}
}

@Article{rDEN97a,
  author = 	 {L.-Y. Deng and D. K. J. Lin and J. Wang and Y. Yuan},
  title = 	 {Statistical Justification of Combination Generators},
  journal = 	 {Statistica Sinica},
  year = 	 {1997},
  volume =	 {7},
  pages =	 {993--1003},
  optannote = 	 {}
}

@Article{rDEN00a,
  author = 	 {L.-Y. Deng and D. K. J. Lin},
  title = 	 {Random Number Generation for the New Century},
  journal = 	 {The American Statistician},
  year = 	 {2000},
  volume =	 {54},
  number =	 {2},
  pages =	 {145--150},
  optannote = 	 {}
}

@techreport{rDEN02a,
  author = 	 {L.-Y. Deng and H. Xu},
  title = 	 {Design, search, and implementation of high-dimensional,
                  efficient, long-cycle, and portable uniform random
                  variate generator},
  note = 	 {Preprint {\#}327},
  institution =  {Department of Statistics,
                  University of California at Los Angeles},
  year = 	 {2002},
  optannote = 	 {}
}

@ARTICLE{rDEN03a,
  author = 	 {L.-Y. Deng and H. Xu},
  title = 	 {A System of high-dimensional, efficient, long-cycle and
                  portable uniform random number generators},
  journal =   {ACM Transactions on Modeling and Computer Simulation},
  volume = {13},
  number = {4},
  year  =  {2003},
  pages =  {299--309}
}

@inproceedings{rDEN04a,
  author =       {L.-Y. Deng},
  title =        {Generalized {M}ersenne Prime Number and Its Application
                  to Random Number Generation},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2002},
  pages =	     {167--180},
  year =       {2004},
  editor =	 {H. Niederreiter},
  address =	 {Berlin},
  publisher =  {Springer-Verlag},
}

@ARTICLE{rDEN05a,
  author = {L.-Y. Deng},
  title = {Efficient and Portable Multiple Recursive Generators of Large Order},
  journal = {ACM Transactions on Modeling and Computer Simulation},
  volume = {15},
  number = {1},
  year  =  {2005},
  pages =  {1--13}
}

@inproceedings{rDEN08a,
  author =       {L.-Y. Deng},
  title =        {Issues on Computer Search for Large-Order
                  Multiple Recursive Generators},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2006},
  pages =	 {251--261},
  year =       {2008},
  editor =	 {A. Keller and S. Heinrich and H. Niederreiter},
  address =	 {Berlin},
  publisher =  {Springer-Verlag},
}

@inproceedings{rDEN08b,
  author =       {L.-Y. Deng and H. Li and J.-J. H. Shiau and G. H. Tsai},
  title =        {Design and Implementation of Efficient and Portable
                  Multiple Recursive Generators with Few Zero Coefficients},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2006},
  pages =	 {263--273},
  year =       {2008},
  editor =	 {A. Keller and S. Heinrich and H. Niederreiter},
  address =	 {Berlin},
  publisher =  {Springer-Verlag},
}

@article{rDEN08c,
 author = {L.-Y. Deng and R. Guo and D. K. J. Lin and F. Bai},
 title = {Improving Random Number Generators in the {Monte Carlo}
          Simulations via Twisting and Combining},
 journal = {Computer Physics Communications},
 volume = {178},
 year = {2008},
 pages = {401--408},
}

@article{rDEN09a,
 author = {L.-Y. Deng and H. Li and J.-J. H. Shiau},
 title = {Scalable parallel multiple recursive generators of large order},
 journal = {Parallel Computing},
 volume = {35},
 number = {1},
 year = {2009},
 issn = {0167-8191},
 pages = {29--37},
 optdoi = {http://dx.doi.org/10.1016/j.parco.2008.09.012},
 optpublisher = {Elsevier Science},
 optaddress = {Amsterdam, The Netherlands},
}

@article{rDEN11a,
 author = {L.-Y. Deng and J.-J. H. Shiau and H. H.-S. Lu},
 title = {Large-Order Multiple Recursive Generators with Modulus $2^{31}-1$},
 journal = {INFORMS Journal on Computing},
 optvolume = {},
 optnumber = {},
 year = {2011},
 note = {to appear},
 doi = {10.1287/ijoc.1110.0477},
 optpages = {},
}

@article{rDEN12b,
  old = {rDEN11b},
 author = {L.-Y. Deng and J.-J. H. Shiau and H. H.-S. Lu},
 title = {Efficient Computer Search of Large-Order Multiple Recursive
          Pseudo-Random Number Generators},
 journal = {Journal of Computational and Applied Mathematics},
 volume = {236},
 number = {13},
 year = {2012},
 pages = {3228--3237}
}

@article{rDER09a,
        author={G. Derflinger and W. H\"{o}rmann and J. Leydold},
        title="Random Variate Generation by Numerical Inversion when only the
               Density is known",
        journal={Preprint of the Department of Statistics and
                Mathematics 78, Wirtschaftsuniversit\"at Wien, Austria},
        note={See \url{http://epub.wu-wien.ac.at/english/}},
        year={2008}  }

@article{rDER10a,
        author={G. Derflinger and W. H\"{o}rmann and J. Leydold},
        title="Random Variate Generation by Numerical Inversion when only the
               Density is known",
        journal={ACM Transactions on Modeling and Computer Simulation},
  volume = {20},
  number = {4},
  year  =  {2010},
  pages =  {Article 18}
}

@ARTICLE {rDEV82a,
	author="L. Devroye",
	year={1982},
	title="A Note on Approximations in Random Variate Generation",
	journal={J. Stat. Comput. Simul.},
	volume={14},
	pages={149--158}  }

@ARTICLE {rDEV84a,
	author="L. Devroye",
	year={1984},
	title="Random Variate Generation for Unimodal and Monotone Densities",
	journal={Computing},
	volume={32},
	pages={43--68}  }

@ARTICLE {rDEV84b,
	author="L. Devroye",
	year={1984},
	title="A Simple Algorithm for Generating Random Variates
           with a Log-Concave Density",
	journal={Computing},
	volume={33},
	pages={247--257}  }

@BOOK {rDEV86a,
	author="L. Devroye",
	title={Non-Uniform Random Variate Generation},
	publisher="Springer-Verlag",
	address={New York, NY},
	year={1986}  }

@INPROCEEDINGS {rDEV96a,
	author="L. Devroye",
	title="Random Variate Generation in One Line of Code",
	booktitle={Proceedings of the 1996 Winter Simulation Conference},
	publisher={IEEE Press},
	year={1996},
	pages={265--271}  }

@INCOLLECTION {rDEV06a,
      author = {L. Devroye},
      title={Nonuniform Random Variate Generation},
      booktitle={Simulation},
      series={Handbooks in Operations Research and Management Science},
      editor={S. G. Henderson and B. L. Nelson},
      publisher={Elsevier},
      address={Amsterdam, The Netherlands},
      year={2006},
      note = {Chapter 4},
      pages = {83--121}
}

@Article{rDEW00a,
  author = 	 {H. Dewen},
  title = 	 {A Novel Method for Generating Pseudorandom Integer
                  Strings and Pseudorandom Sequences},
  journal = 	 {Science in {C}hina},
  year = 	 {2000},
  volume =	 {43},
  number =	 {4},
  pages =	 {413--420},
  optannote = 	 {}
}

@inproceedings{rDIC06a,
  author = 	 {J. Dick and H. Niederreiter and F. Pillichshammer},
  title = 	 {Weighted Star Discrepancy of Digital Nets in Prime Bases},
  booktitle =    {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
  pages =	 {77--96},
  year =         {2006},
  editor =	 {H. Niederreiter and D. Talay},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@inproceedings{rDIC06b,
  author = 	 {A. Dickinson},
  title = 	 {Explaining Effective Low-Dimensionality},
  booktitle =    {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
  pages =	 {97--112},
  year =         {2006},
  editor =	 {H. Niederreiter and D. Talay},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@book {rDIC10a,
   author    = {J. Dick and F. Pillichshammer},
   title     = {Digital Nets and Sequences:
                Discrepancy Theory and Quasi-Monte Carlo Integration},
   year      = {2010},
   publisher = {Cambridge University Press},
   address   = {Cambridge, U.K.}
}

@ARTICLE {rDIE71a,
	author="U. Dieter and J. Ahrens",
	year={1971},
	title="An Exact Determination of Serial Correlations of
           Pseudo-Random Numbers",
	journal={Numer. Math.},
	volume={17},
	pages={101--123}  }

@ARTICLE {rDIE75a,
	author="U. Dieter",
	title="How to Calculate Shortest Vectors in a Lattice",
	journal={Mathematics of Computation},
	volume={29},
	number={131},
	year={1975},
	pages={827--833}  }

@INPROCEEDINGS {rDOB93a,
	author="D. Dobkin and D. Eppstein",
	title="Computing the Discrepancy",
	booktitle={Proceedings of the 9th Annual Computational Geometry
             Conference},
	publisher="ACM",
	year={1993},
	pages={47--??}  }

@Article{rDOD96a,
  author = 	 {Y. Dodge},
  title = 	 {A Natural Random Number Generator},
  journal = 	 {International Statistical Review},
  year = 	 {1996},
  volume = 	 {64},
  number = 	 {3},
  pages = 	 {329--343}
  }

@book {rDRM97a,
   author    = {M. Drmota and R. F. Tichy},
   title     = {Sequences, Discrepancies and Applications},
   year      = {1997},
   publisher = {Springer Verlag},
   address   = {New York, NY},
   series    = {Lecture Notes in Mathematics} }

@BOOK {rDUD81a,
	author="E. J. Dudewicz and T. G. Ralley",
	title={The Handbook of Random Number Generation and
            Testing with {TESTRAND} Computer Code},
	publisher="American Sciences Press",
	address={Columbus, Ohio},
	year={1981}  }

@ARTICLE {rDUD81b,
	author="E. J. Dudewicz and E. C. van der Meulen",
	title="Entropy-Based Tests of Uniformity",
	journal={Journal of the American Statistical Association},
	volume={76},
        number={376},
	year={1981},
	pages={967--974}  }

@ARTICLE {rDUD95a,
	author="E. J. Dudewicz and E. C. van der Meulen and
                M. G. Sri{R}am and N. K. W. Teoh",
        title="Entropy-Based Random Number Evaluation",
	journal={American Journal of Mathematical and Management Sciences},
	volume={15},
	year={1995},
	pages={115--153}  }

@INCOLLECTION {rDUD95b,
	author="L. T. Bernhofen and E. J. Dudewicz and E. C. van der Meulen",
	title="Ranking the Best Random Number Generators via
               Entropy-Uniformity Theory",
	booktitle="Multivariate Statistical Analysis 2000",
	year={1995},
	xpages={ - }  }

@INPROCEEDINGS {rDUR89a,
	author="M. J. Durst",
	title="Using Linear Congruential Generators for Parallel
	   Random Number Generation",
	booktitle={Proceedings of the 1989 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1989},
	pages={462--466}  }

@techreport {rDWO01a,
   author = {M. Dworkin},
   title  = {Recommandations for block cipher modes of operation},
   institution = {U.S. DoC/National Institute of Standards and Technology},
   year      = {2001},
   type      = {{SP} 800-38A},
   note      = {See \url{http://csrc.nist.gov/CryptoToolkit/modes/}},
   pages    = {1--59}   }

@unpublished {rEAS94a,
	author="{D. Eastlake and S. Crocker and J. Schiller}",
	title={Randomness Recommendations for Security},
	note = {Network Working Group RCF 1750},
	year={1994},
	annote = {RNGs for cryptography},
}

@article{rEDD90a,
	author = {W. F. Eddy},
	title = {Random Number Generators for Parallel Processors},
	journal = {Journal of Computational and Applied Mathematics},
	volume = {31},
	pages = {63--71},
	year = {1990} }

@inproceedings{rEDE08a,
  author =       {Y. Edel and P. L'Ecuyer},
  title =        {A Coding Theoretic Approach to Building Nets with
                  Well-Equidistributed Projections},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2006},
  pages =	 {313--325},
  year =       {2008},
  editor =	 {A. Keller and S. Heinrich and H. Niederreiter},
  address =	 {Berlin},
  publisher =  {Springer-Verlag},
}

@article{rEDM60a,
	author = {A. R. Edmonds},
	title = {The Generation of Pseudorandom Numbers on
	         Electronic Digital Computers},
	journal = {The Computer Journal},
	volume = {2},
	pages = {181--185},
	year = {1960} }

@ARTICLE {rEIC86a,
	author="J. Eichenauer and J. Lehn",
	title="A Nonlinear Congruential Pseudorandom Number Generator",
	journal={Statistische Hefte},
	volume={27},
	year={1986},
	pages={315--326}  }

@ARTICLE {rEIC87a,
	author="J. Eichenauer and J. Lehn",
	title="On the Structure of Quadratic Congruential Sequences",
	journal={Manuscripta Mathematica},
	volume={58},
	year={1987},
	pages={129--140}  }

@ARTICLE {rEIC87b,
	author="J. Eichenauer and H. Grothe and J. Lehn and A. Topuz{\v{o}}glu",
	title="A Multiple Recursive Nonlinear Congruential
	   Pseudorandom Number Generator",
	journal={Manuscripta Mathematica},
	volume={59},
	year={1987},
	pages={331--346}  }

@ARTICLE {rEIC88a,
	author="J. Eichenauer and J. Lehn and A. Topuz{\v{o}}glu",
	title="A Nonlinear Congruential Pseudorandom Number Generator
	   with Power of Two Modulus",
	journal={Mathematics of Computation},
	volume={51},
	number={184},
	year={1988},
	pages={757--759}  }

@ARTICLE {rEIC88b,
	author="J. Eichenauer and H. Niederreiter",
	title="On {M}arsaglia's Lattice Test for Pseudorandom Numbers",
	journal={Manuscripta Mathematica},
	volume={62},
	year={1988},
	pages={245--248}  }

@ARTICLE {rEIC89a,
	author="J. {Eichenauer-Herrmann}",
	title="A Remark on Long-Range Correlations in Multiplicative
	Congruential Pseudo Random Number Generators",
	journal={Numerische Mathematik},
	volume={56},
	year={1989},
	pages={609--611}  }

@ARTICLE {rEIC89b,
	author="J. {Eichenauer-Herrmann} and H. Grothe and J. Lehn",
	title="On the Period Length of Pseudorandom Vector Sequences
            Generated by Matrix Generators",
	journal={Mathematics of Computation},
	volume={52},
	number={185},
	year={1989},
	pages={145--148}  }

@ARTICLE {rEIC91a,
	author="J. {Eichenauer-Herrmann}",
	title="Inversive Congruential Pseudorandom Numbers Avoid the Planes",
	journal={Mathematics of Computation},
	volume={56},
	year={1991},
	pages={297--301}  }

@ARTICLE {rEIC92a,
	author="J. {Eichenauer-Herrmann}",
	title="Statistical Independence of a New Class of Inversive
	       Congruential Pseudorandom Numbers",
	journal={Mathematics of Computation},
	volume={60},
	year={1993},
	pages={375--384}  }

@ARTICLE {rEIC92b,
	author="J. {Eichenauer-Herrmann} and H. Niederreiter",
	title="Lower Bounds for the Discrepancy of Inversive Congruential
	       Pseudorandom Numbers with Power-of-Two Modulus",
	journal={Mathematics of Computation},
	volume={58},
	year={1992},
	pages={775--779}  }

@ARTICLE {rEIC92c,
	author="J. {Eichenauer-Herrmann}",
	title="Inversive Congruential Pseudorandom Numbers: A Tutorial",
	journal={International Statistical Reviews},
	volume={60},
	year={1992},
	pages={167--176}  }

@ARTICLE {rEIC92d,
	author="J. {Eichenauer-Herrmann} and H. Grothe",
	title="A New Inversive Congruential Pseudorandom Number Generator with
	       Power of Two Modulus",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={2},
	number={1},
	year={1992},
	pages={1--11}  }

@ARTICLE {rEIC93a,
	author="J. {Eichenauer-Herrmann}",
	title="Statistical Independence of a New Class of Inversive
	   Congruential Pseudorandom Numbers",
	journal={Mathematics of Computation},
	volume={60},
	year={1993},
	pages={375--384} }

@ARTICLE {rEIC94a,
	author="J. {Eichenauer-Herrmann}",
	title="Improved Lower Bounds for the Discrepancy of Inversive
	   Congruential Pseudorandom Numbers",
	journal={Mathematics of Computation},
	volume={62},
	number={206},
	year={1994},
	pages={783--786} }

@ARTICLE {rEIC94b,
	author="J. {Eichenauer-Herrmann} and K. Ickstadt",
	title="Explicit Inversive Congruential Pseudorandom Numbers
	   with Power of Two Modulus",
	journal={Mathematics of Computation},
	volume={62},
	number={206},
	year={1994},
	pages={787--797} }

@ARTICLE {rEIC94c,
	author="J. {Eichenauer-Herrmann}",
	title="On Generalized Inversive Congruential Pseudorandom Numbers",
	journal={Mathematics of Computation},
	volume={63},
	year={1994},
	pages={293--299}  }

@ARTICLE {rEIC94d,
	author="J. {Eichenauer-Herrmann} and H. Niederreiter",
	title="Bounds for Exponential Sums and their Applications to
               Pseudorandom Numbers",
	journal={Acta Arithmetica},
	volume={LXVII.3},
	year={1994},
	pages={269--281}  }

@article {rEIC94e,
   author    = {J. {Eichenauer-Herrmann} and H. Niederreiter},
   title     = {Digital Inversive Pseudorandom Numbers},
   journal   = {{ACM} Transactions on Modeling and Computer Simulation},
   year      = {1994},
   volume    = {4},
   pages     = {339--349} }

@ARTICLE {rEIC95a,
	author="J. {Eichenauer-Herrmann}",
	title="Pseudorandom Number Generation by Nonlinear Methods",
	journal={International Statistical Reviews},
	volume={63},
	year={1995},
	pages={247--255}  }

@ARTICLE {rEIC95b,
	author="J. {Eichenauer-Herrmann}",
	title="A Unified Approach to the Analysis of Compound
               Pseudorandom Numbers",
	journal={Finite Fields and their Applications},
	volume={1},
	year={1995},
	pages={102--114}  }

@ARTICLE {rEIC95c,
	author="J. {Eichenauer-Herrmann} and H. Niederreiter",
	title="An Improved Upper Bound for the Discrepancy of
               Quadratic Congruential Pseudorandom Numbers",
	journal={Acta Arithmetica},
	volume={LXIX.2},
	year={1995},
	pages={193--198}  }

@ARTICLE {rEIC95d,
	author="J. {Eichenauer-Herrmann}",
	title="Modified Explicit Inversive Congruential Pseudorandom Numbers
               with Power-of-Two Modulus",
	journal={Statistics and Computing},
	volume={6},
	year={1996},
	pages={31--36}  }

@ARTICLE {rEIC95e,
	author="J. {Eichenauer-Herrmann}",
	title="Nonoverlapping Pairs of Explicit Inversive Congruential
               Pseudorandom Numbers",
	journal={Monatshefte f{\"ur} Mathematik},
	volume={119},
	year={1995},
	pages={49--61}  }

@ARTICLE {rEIC95f,
	author="J. {Eichenauer-Herrmann}",
	title="Discrepancy Bounds for Nonoverlapping Pairs of Quadratic
               Congruential Pseudorandom Numbers",
	journal={Arch. Math.},
	volume={65},
	year={1995},
	pages={362--368}  }

@ARTICLE {rEIC95g,
	author="J. {Eichenauer-Herrmann}",
	title="Quadratic Congruential Pseudorandom Numbers:
               Distribution of Triples",
	journal={Journal of Computational and Applied Mathematics},
	volume={62},
	year={1995},
	pages={239--253}  }

@ARTICLE {rEIC95h,
	author="J. {Eichenauer-Herrmann}",
	title="Inversive Congruential Pseudorandom Numbers: A Tutorial",
	journal={International Statistical Reviews},
	volume={63},
	year={1995},
	pages={247--255}  }

@inproceedings {rEIC95i,
   author    = {J. Eichenauer-Herrmann  and F. Emmerich},
   title     = {A review of compound methods for
                pseudorandom number generation},
   booktitle = {Proceedings of the 1st Salzburg
                Minisymposium on Pseudorandom Number Generation and
                Quasi-{M}onte {C}arlo Methods, {S}alzburg, Nov 18, 1994},
   year      = {1995},
   editor    = {Hellekalek, P. and Larcher, G. and
                Zinterhof, P.},
   publisher = {ACPC -- Austrian Center for Parallel
                Computation, Universit{\"a}t Wien, Austria} }

@ARTICLE {rEIC96a,
	author="J. {Eichenauer-Herrmann} and F. Emmerich",
	title="Compound Inversive Congruential Pseudorandom Numbers:
               An Average-Case Analysis",
        journal="Mathematics of Computation",
        volume={65},
        number={213},
	year={1996},
	pages={215--225}  }

@ARTICLE {rEIC96b,
	author="J. {Eichenauer-Herrmann} and G. Larcher",
	title="Average Behavior of Compound Nonlinear Congruential
               Pseudorandom Numbers",
	journal={Finite Fields and their Applications},
	volume={2},
	year={1996},
	pages={111--123}  }

@ARTICLE {rEIC96c,
	author="J. {Eichenauer-Herrmann}",
	title="Modified Explicit Inversive Congruential Pseudorandom Numbers
               with Power-of-Two Modulus",
	journal={Statistics and Computing},
	volume={6},
	year={1996},
	pages={31--36}  }

@article {rEIC96e,
   author    = {J. {Eichenauer-Herrmann}},
   title     = {Equidistribution Properties of Inversive
       Congruential Pseudorandom Numbers with Power of Two Modulus},
   journal   = {Metrika},
   year      = {1996},
   volume    = {44},
   pages     = {199--205} }


@article {rEIC96f,
   author    = {J. {Eichenauer-Herrmann}},
   title     = {Parallel Streams of Nonlinear Congruential Pseudorandom Number},
   journal   = {Finite Fields Appl.},
   year      = {1996},
   note      = {to appear} }


@article {rEIC96g,
   author    = {J. {Eichenauer-Herrmann}},
   title     = {Average Behaviour of Compound Nonlinear Congruential Pseudorandom Numbers},
   journal   = {Finite Fields and their Appl.},
   year      = {1996},
   volume    = {2},
   pages     = {111--123} }


@article {rEIC97a,
   author    = {J. {Eichenauer-Herrmann} and E. Herrmann},
   title     = {Compound Cubic Congruential Pseudorandom Numbers},
   journal   = {Computing},
   year      = {1997},
   volume    = {59},
   pages     = {85--90} }

@article {rEIC97b,
   author    = {J. {Eichenauer-Herrmann}},
   title     = {Quadratic Congruential Pseudorandom Numbers:
                Distribution of Lagged Pairs},
   journal   = {Journal of Computational and Applied Mathematics},
   year      = {1997},
   pages     = {75--85},
   volume    = {79} }

@article {rEIC97c,
   author = {J. {Eichenauer-Herrmann} and H. Niederreiter},
    title = {Inversive congruential pseudorandom numbers: distribution of
             triples},
  journal = {Mathematics of Computation},
   volume = {66},
     year = {1997},
   number = {220},
    pages = {1629--1644},
     issn = {0025-5718},
}

@incollection {rEIC97d,
   author    = {J. {Eichenauer-Herrmann} and E. Herrmann and S. Wegenkittl},
   title     = {A Survey of Quadratic and Inversive Congruential
                Pseudorandom Numbers},
   booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
   editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                and P. Zinterhof},
   publisher = {Springer},
   address   = {New York, NY},
   volume    = {127},
   pages     = {66--97},
   year      = {1998},
   series    = {Lecture Notes in Statistics} }

@article {rEIC97e,
   author    = {J. {Eichenauer-Herrmann} and H. Niederreiter},
   title     = {Parallel Streams of Nonlinear Congruential Pseudorandom
                Numbers},
   journal   = {Finite Fields and their Applications},
   year      = {1997},
   volume    = {3},
   pages     = {219--233} }

@article {rEIC97f,
   author    = {J. {Eichenauer-Herrmann} and F. Emmerich and G. Larcher},
   title     = {Average Discrepancy, Hyperplanes,
                and Compound Pseudorandom Numbers},
   journal   = {Finite Fields and their Applications},
   year      = {1997},
   volume    = {3},
   pages     = {203--218} }

@article {rEIC97g,
   author    = {J. {Eichenauer-Herrmann}},
   title     = {Lower bounds for the discrepancy of triples of inversive
                congruential pseudorandom numbers with power of two modulus},
   journal   = {Monatsh. Math.},
   year      = {1997},
   note      = {to appear} }

@article {rEIC98a,
   author = {J. {Eichenauer-Herrmann}  and H. Niederreiter},
    title = {Lower bounds for the discrepancy of triples of inversive
             congruential pseudorandom numbers with power of two modulus},
  journal = {Monatshefte f\"ur Mathematik},
   volume = {125},
     year = {1998},
   number = {3},
    pages = {211--217},
     issn = {0026-9255},
}

@ARTICLE {rELI72a,
	author="P. Elias",
	title="The Efficient Construction of an Unbiased Random Sequence",
	journal={The Annals of Mathematical Statistics},
	year={1972},
	volume={43},
	number={3},
	pages={865--870}}

@article {rEMM96a,
   author    = {F. Emmerich},
   title     = {Pseudorandom Vector Generation by the Compound
                Inversive Method},
   journal   = {Mathematics of computation},
   year      = {1996},
   volume    = {65},
   number    = {214},
   pages     = {749--760} }

@article {rEMM97a,
   author    = {F. Emmerich},
   title     = {Equidistribution properties of quadratic congruential
		pseudorandom numbers},
   journal   = {Journal of Computational and Applied Mathematics},
   volume    = {79},
   number    = {2},
   pages     = {207--214},
   year      = {1997} }

@BOOK {rENG92a,
	author="E. M. R. A. Engel",
	title={A Road to Randomness in Physical Systems},
	publisher="Springer-Verlag",
	series="Lecture Notes in Statistics",
	volume="71",
        cote={QC175},
	year={1992}  }

@inproceedings {rENT94a,
	author = {K. Entacher},
	editor = {M. Vajter\v{s}ic and P. Zinterhof},
	title = {Classical and New Pseudorandom Number Generators
                 in the Run Test},
	booktitle = {Proceedings of the International Workshop
                 Parallel Numerics'94, Smolenice, Sept. 19--21},
	publisher = {Slovak Academy of Sciences, Institute for Informatics},
	address = {Slovakia},
	year = {1994}}

@inproceedings {rENT94b,
	author = {K. Entacher},
	title = {Numerical integration with generalized Haar function systems},
	booktitle = {Proceedings of the 1st Salzburg Minisymposium on
               Pseudorandom Number Generation and
               Quasi-{M}onte {C}arlo Methods,
               Salzburg, Nov. 1994},
	volume = {ACPC/TR 95-4},
	series = {Technical Report Series},
	publisher = {ACPC---Austrian Center for Parallel Computation,
                  {U}niversity of {V}ienna, {A}ustria},
	year = {1995},
	pages = {25--41}}

@inproceedings {rENT95a,
	author = {K. Entacher and H. Leeb},
	title = {Inversive pseudorandom number generators: empirical results},
	booktitle = {Proceedings of the Conference Parallel Numerics 95,
                     Sorrento, Italy, September 27--29, 1995},
	year = {1995} }

@unpublished {rENT95b,
	author = {K. Entacher},
	title = {Selected Random Number Generators in the Run Test},
        note  = {Manuscript, Dept.~of Mathematics, University of Salzburg},
	year = {1995} }

@phdthesis {rENT95c,
   author    = {K. Entacher},
   title     = {Generalized Haar function systems in the theory of
                uniform distributions of sequences modulo one},
   year      = {1995},
   school    = {University of Salzburg} }

@techreport {rENT97a,
	author = {K. Entacher},
	title = {A Collection of Selected Pseudorandom Number Generators
                 with Linear Structures},
        institution = {pLab Report, Institut f\"ur Mathematik,
                 Universit\"at Salzburg},
	year = {1997} }

@article {rENT97b,
   author    = {K. Entacher},
   title     = {Quasi-{M}onte {C}arlo methods for numerical integration
                of multivariate {H}aar series},
   journal   = {BIT},
   year      = {1997},
   pages     = {846--861},
   volume    = {37} }

@incollection{ rENT97c,
  author = "K. Entacher and O. Lendl and A. Uhl and S. Wegenkittl",
  title = "Analyzing streams of pseudorandom numbers for parallel Monte Carlo integration",
  editor = {R. Wyrzykowski and H. Piech and B. Mochnacki and M. Vajtersic and P. Zinterhof},
  booktitle = {Proceedings of the International Workshop on Parallel Numerics (Parnum'97)},
  publisher = {Zakopane, Poland},
  pages = {59--71},
  month = {September},
  year = {1997},
  url = "citeseer.nj.nec.com/entacher97analyzing.html" }


@article {rENT98a,
	author = {K. Entacher},
	title="Bad Subsequences of Well-Known Linear Congruential
               Pseudorandom Number Generators",
	journal={ACM Transactions on Modeling and Computer Simulation},
        volume={8},
	number={1},
	year={1998},
	pages={61--70}  }

@INPROCEEDINGS {rENT00b,
  old = {rHEL98e},
  old = {rENT98e},
  old = {rENT99e},
  author = {K. Entacher and P. Hellekalek and P. L'Ecuyer},
  title	= {Quasi-{M}onte {C}arlo Node Sets from Linear Congruential
		  Generators},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1998},
  pages     =    {188--198},
  year =	 {2000},
  editor =	 {H. Niederreiter and J. Spanier},
  address =	 {Berlin},
  publisher =	 {Springer},
  optannote = 	 {}
  }

@INPROCEEDINGS {rENT00bx,
  author  = {K. Entacher and P. Hellekalek and P. L'Ecuyer},
  title   = {Quasi-{M}onte {C}arlo Node Sets from Linear Congruential
		  Generators},
  crossref  =    {rNIE00a},
  pages     =    {188--198},
  optannote = 	 {}
  }

@INPROCEEDINGS {rENT01a,
        author = "K. Entacher and T. Schell and A. Uhl",
        title = "Evolutionary Optimization of Random Number Generators",
        booktitle = {{M}onte {C}arlo Simulation},
        editor = {G. I. Schu\"eller and P. D. Spanos},
        xbooktitle={Proceedings of the International Conference
                    {M}onte {C}arlo 2000},
        publisher = {A. A. Balkema},
        address = {Rotterdam},
        year = {2001},
        pages = {19--26}  }

@INPROCEEDINGS {rENT01b,
        author = "K. Entacher and T. Schell",
        title = "From `pseudo' to `quasi'",
        booktitle = {{M}onte {C}arlo Simulation},
        editor = {G. I. Schu\"eller and P. D. Spanos},
        xbooktitle={Proceedings of the International Conference
                    {M}onte {C}arlo 2000},
        publisher = {A. A. Balkema},
        address = {Rotterdam},
        year = {2001},
        pages = {27--34}  }

@MASTERSTHESIS {rERD92a,
	author="E. D. Erdmann",
	title="Empirical Tests of Binary Keystreams",
	school={Department of Mathematics, Royal Holloway and Bedford New
	    College, University of London},
	year={1992}  }

@PHDTHESIS {rERD93a,
	author="E. D. Erdmann",
	title="Complexity Measures for Testing Binary Keystreams",
	school={Department of Operations Research, Stanford University},
	year={1993}  }

@article{rERD97a,
  author    = {D. Erdmann and S. Murphy},
  title     = {An Approximate Distribution for the Maximum Order Complexity.},
  journal   = {Designs, Codes, and Cryptography},
  volume    = {10},
  number    = {3},
  year      = {1997},
  pages     = {325--339},
}

@ARTICLE {rETZ84a,
	author="T. Etzion and A. Lempel",
	title="Algorithms for the Generation of Full-Length
               Shift-Register Sequences",
	journal={{IEEE} Transactions on Information Theory},
	volume={IT-30},
	number={3},
	year={1984},
	pages={480--484} }

@incollection {rETZ90a,
	author="T. Etzion",
	title="On Pseudo-Random Arrays Constructed from Patterns with
        	Distinct Differences",
	booktitle={Sequences: Combinatorics, Compression Security,
		   and Transmission},
	editor={R. M. Capocelli},
        publisher={Springer-Verlag},
        address = {New York, NY},
	year={1990},
	pages={195--207} }

@INPROCEEDINGS {rFAI85a,
    author       = {R. C. Fairfield and R. L. Mortenson and K. B. Coulthart},
    title        = {An {LSI} Random Number Generator (RNG)},
    booktitle    = {Advances in Cryptology: Proceedings of Eurocrypt 1984},
    year         = {1985},
    series       = {Lecture Notes in Computer Science},
    publisher    = {Springer-Verlag},
    address      = {Berlin},
    optvolume       = {},
    pages        = {203--230} }

@book {rFAN02a,
  title = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  publisher =	 {Springer-Verlag},
  address =	 {Berlin},
  year =	 {2002},
}

@ARTICLE{rFAU82a,
	author	={H. Faure},
	title	={Discr\'epance des Suites Associ\'ees \`a un
                  Syst\`eme de Num\'eration en Dimension $s$},
	journal	={Acta Arithmetica},
	volume	={61},
	pages	={337--351},
	year	=1982}

@ARTICLE{rFAU92a,
	author	={H. Faure},
	title	={Good Permutations for Extreme Discrepancy},
	journal	={Journal of Number Theory},
	volume	={42},
	pages	={47--56},
	year	=1992}

@ARTICLE {rFAU01a,
  author = {H. Faure},
  title = {Variations on $(0,s)$-Sequences},
  journal = {Journal of Complexity},
  note = {To appear},
  year = {2001},
  optvolume = {},
  optpages = {}}

@UNPUBLISHED {rFAU01b,
  author = {H. Faure and S. Tezuka},
  title = {A New Generation of $(0,s)$-Sequences},
  note = {To appear},
  year = {2001},
  optvolume = {},
  optpages = {}}

@InProceedings{rFAU02a,
  author =       {H. Faure and S. Tezuka},
  title =        {Another Random Scrambling of Digital $(t,s)$-sequences},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  pages =	 {242--256},
  year =	 {2002},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@inproceedings{rFAU06a,
  author = 	 {H. Faure},
  title =        {Selection Criteria for (Random) Generation of Digital $(0,s)$-Sequences},
  booktitle =    {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
  pages =	 {113--126},
  year =         {2006},
  editor =	 {H. Niederreiter and D. Talay},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@ARTICLE {rFER92a,
	author="A. M. Ferrenberg and D. P. Landau and Y. J. Wong",
	title="{M}onte {C}arlo Simulations: Hidden Errors From ``Good'' Random
	       Number Generators",
	journal={Physical Review Letters},
	volume={69},
	number={23},
	year={1992},
	pages={3382--3384}  }

@ARTICLE {rFIS76a,
	author="G. S. Fishman",
	title="Sampling from the Gamma Distribution on a Computer",
	journal={Communications of the {ACM}},
	volume={19},
	optnumber={},
	year={1976},
	pages={407--409}  }

@ARTICLE {rFIS86a,
	author="G. S. Fishman and L. S. {Moore III}",
	title="An Exhaustive Analysis of Multiplicative
               Congruential Random Number Generators
               with Modulus $2^{31}-1$",
	journal={SIAM Journal on Scientific and Statistical Computing},
	volume={7},
	number={1},
	year={1986},
	pages={24--45}  }

@ARTICLE {rFIS90a,
	author="G. S. Fishman",
	title="Multiplicative Congruential Random Number Generators
	  with Modulus $2^\beta$: An Exhaustive Analysis for
	  $\beta=32$ and a Partial Analysis for $\beta=48$",
	journal={Mathematics of Computation},
	volume={54},
	number={189},
	month={Jan},
	year={1990},
	pages={331--344}  }

@unpublished {rFOG01a,
        author="A. Fog",
        title="Chaotic Random Number Generators with Random Cycle Lengths",
        note={available at \url{http://www.agner.org/random/theory/}},
        year={2001}  }

@ARTICLE{rFOX86a,
  	author 	= {B. L. Fox},
  	title 	= {Implementation and relative efficiency of
                   quasirandom sequence generators},
  	journal = {ACM Transactions on Mathematical Software},
  	year 	= {1986},
  	optkey 	= {},
  	volume 	= {12},
      optnumber = {},
       optmonth = {},
  	pages   = {362--376},
 	 optnote= {},
      optannote = {}
}

@Article{rFRA63a,
  author = 	 {J. N. Franklin},
  title = 	 {Deterministic Simulation of Random Processes},
  journal = 	 {Mathematics of Computation},
  year = 	 {1963},
  volume =	 {17},
  pages =	 {28--59}
}

@INCOLLECTION {rFRA98a,
   author    ="K. Frank and S. Heinrich",
   title     ="Computing Discrepancies Related to Spaces of Smooth
               Periodic Functions",
   booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
   editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                and P. Zinterhof},
   publisher = {Springer},
   address   = {New York, NY},
   volume    = {127},
   pages     = {238--250},
   year      = {1998},
   series    = {Lecture Notes in Statistics} }

@INPROCEEDINGS {rFRI84a,
	author="A. M. Frieze and R. Kannan and J. C. Lagarias",
	title="Linear Congruential Generators Do Not Produce Random Sequences",
	booktitle={Proceedings of the 25th {IEEE} Symposium on
	   Foundations of Computer Science},
	year={1984},
	pages={480--484} }

@ARTICLE {rFRI88a,
	author="A. M. Frieze and J. Hastad and R. Kannan and J. C.
	        Lagarias and A. Shamir",
	title="Reconstructing Truncated Integer Variables Satisfying Linear
	       Congruences",
	journal={SIAM Journal on Computing},
	year={1988},
	volume={17},
	number={2},
	pages={262--280} }

@INPROCEEDINGS {rFRI01a,
  author="I. Friedel and A. Keller",
  title="Fast Generation of Randomized Low-Discrepancy Point Sets",
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  pages =	 {257--273},
  year =	 {2001},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@ARTICLE {rFUS83a,
	author="M. Fushimi",
	title="Increasing the Orders of Equidistribution of the
	   Leading Bits of the {T}ausworthe Sequence.",
	journal={Information Processing Letters},
	volume={16},
	year={1983},
	pages={189--192}  }

@ARTICLE {rFUS83b,
	author="M. Fushimi and S. Tezuka",
	title="The $k$-Distribution of Generalized Feedback Shift Register
          Pseudorandom Numbers",
	journal={Communications of the ACM},
	volume={26},
	number={7},
	year={1983},
	pages={516--523}  }

@INPROCEEDINGS {rFUS87a,
	author="M. Fushimi",
	title="On Misunderstandings about Pseudorandom Number
	   Generation by Linear Recurrence Modulo Two",
	booktitle={First {IASC} World Conference on Computational
           Statistics and Data Analysis},
	month={Sep},
	year={1987},
	address={Shizuoka, Japan}  }

@ARTICLE {rFUS88a,
	author="M. Fushimi",
	title="Designing a Uniform Random Number Generator Whose
	   Subsequences Are $k$-Distributed",
	journal={SIAM Journal on Computing},
	volume={17},
	number={1},
	year={1988},
	pages={89--99}  }

@ARTICLE {rFUS89a,
	author="M. Fushimi",
	title="An Equivalence Relation between {T}ausworthe and {GFSR}
	   Sequences and Applications",
	journal={Applied Mathematics Letters},
	volume={2},
	number={2},
	year={1989},
	pages={135--137}  }

@INPROCEEDINGS {rFUS89b,
	author="M. Fushimi",
	title="Random number generation on parallel processors",
	booktitle={Proceedings of the 1989 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1989},
	pages={459--461}  }

@ARTICLE {rFUS90a,
	author="M. Fushimi",
	title="Random Number Generation with the Recursion
	   $X_t = X_{t-3p}\oplus X_{t-3q}$",
	journal={Journal of Computational and Applied Mathematics},
	volume={31},
	year={1990},
	pages={105--118}  }

@misc {rGAM97a,
   author    = {B. M. Gammel},
   title     = {{H}urst's Rescaled Range Statistical Analysis for
                Pseudorandom Number
		Generators used in Physical Simulations},
   note      = {manuscript},
   year      = {1997} }

@Book{rGEN98a,
  author = 	 {J. E. Gentle},
  title = 	 {Random Number Generation and {M}onte {C}arlo Methods},
  publisher = 	 {Springer},
  year = 	 {1998},
  address = 	 {New York, NY},
  optannote = 	 {}
}

@InProceedings{rGEN02a,
  author = 	 {R. Gennaro and D. Micciancio},
  title = 	 {Cryptanalysis of a Pseudorandom Generator Based on Braid Groups},
  booktitle =	 {Advances in Cryptology: Eurocrypt 2002},
  pages =	 {1--13},
  year =	 {2002},
  editor =	 {G. Goos and J. Hartmanis and J. van Leeuwen},
  number =	 {2332},
  series =	 {Lecture Notes in Computer Science},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
  biblio-um =    {QA76.9 A25 E87},
  optannote = 	 {}
}

@Book{rGEN03a,
  author = 	 {J. E. Gentle},
  title = 	 {Random Number Generation and {M}onte {C}arlo Methods},
  publisher = 	 {Springer},
  year = 	 {2003},
  address = 	 {New York, NY},
  edition =      {second},
  optannote = 	 {}
}

@ARTICLE {rGIL89a,
	author="J. B. Gilmore",
	title="Randomness and the Search for {PSI}",
	journal={Journal of Parapsychology},
	volume={53},
	year={1989},
	pages={309--341}  }

@ARTICLE {rGLE88a,
	author="J. Gleick",
	title="The Quest for True Randomness Finally Appears Successful",
        journal={The {N}ew {Y}ork {T}imes},
        address={New York, NY},
        note={Thusday, April 19, C1 and C8},
	year={1988} }

@Book{rGOL67a,
  author =	 {S. W. Golomb},
  title = 	 {Shift-Register Sequences},
  publisher = 	 {Holden-Day},
  year = 	 {1967},
  address =	 {San Francisco},
  optannote = 	 {}
}

@ARTICLE {rGOL86a,
	author="O. Goldreich and S. Goldwasser and S. Micali",
	title="How to Construct Random Functions",
	journal={Journal of the ACM},
	volume={33},
	number={4},
	year={1986},
	pages={792--807}  }

@BOOK {rGOL99a,
	author="O. Goldreich",
	title={Modern Cryptography, Probabilistic Proofs and Pseudo-randomness},
	publisher="Springer Verlag",
	address={Berlin, Germany},
	year={1999}  }

@ARTICLE {rGOO53a,
	author="I. J. Good",
	title="The Serial Test for Sampling Numbers and Other Tests
	       for Randomness",
	journal={Proceedings of the Cambridge Philos. Society},
	volume={49},
	year={1953},
	pages={276--284}  }

@ARTICLE {rGOO57a,
	author="I. J. Good",
	title="On the Serial Test for Random Sequences",
	journal={Annals of Mathematical Statistics},
	volume={23},
	year={1957},
	pages={262--264}  }

@ARTICLE {rGOO67a,
	author="I. J. Good and T. N. Gover",
	title="The Generalized Serial Test and the Binary Expansion of
               {$\sqrt{2}$}",
	journal={Journal of the Royal Statistical Society, Series {A}},
        note={Also Corrigendum in 131 (1968), 434},
	volume={130},
	year={1967},
	pages={102--107}  }

@ARTICLE {rGOO69a,
	author="I. J. Good",
	title="How Random are Random Numbers?",
	journal={The American Statistician},
	volume={},
	year={1969},
	pages={42--45}  }

@ARTICLE {rGOR03a,
	author="M. Goresky and A. Klapper",
	title="Efficient Multiply-with-Carry Random Number Generators
               with Maximal Period",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={13},
	number={4},
	year={2003},
	pages={310--321}  }

@MASTERSTHESIS {rGRA01a,
	author = "J. Granger-Pich\'e",
	title = {G\'en\'erateurs pseudo-al\'eatoires combinant des
                 r\'ecurrences lin\'eaires et non lin\'eaires},
	school={D\'epartement d'informatique et de recherche
                op\'eration\-nelle, Universit\'e de Montr\'eal},
        language={french},
        xmonth = {},
	year ={2001} }

@ARTICLE {rGRE55a,
	author="R. E. Greenwood",
	title="Coupon collector's test for random digits",
	journal={Math. Tables and other Aids to Computation},
	volume={9},
	year={1955},
	pages={1--5, 224, 229}  }

@INCOLLECTION {rGRO86a,
	author="H. Grothe",
	title={{M}atrixgeneratoren zur {E}rzeugung Gleichverteilter
	   {Z}ufallsvektoren},
        booktitle={Kolloquium \"uber Zufallszahlen und Simultationen},
	publisher="Darmstadt, L. Afflerbach and J. Lehn eds., B. G.",
        address={Teubner Stuttgart},
	year={1986} }

@ARTICLE {rGRO87a,
	author="H. Grothe",
	title="Matrix Generators for Pseudo-Random Vectors Generation",
	journal={Statistische Hefte},
	volume={28},
	year={1987},
	pages={233--238}  }

@PHDTHESIS {rGRO88a,
	author="H. Grothe",
	title="{M}atrixgeneratoren zur {E}rzeugung Gleichverteilter
	   {P}seudozufallsvektoren",
	year={1988},
	language={German},
	TYPE={Dissertation (thesis)},
	school={Tech.\ Hochschule Darmstadt},
        address={Germany} }

@ARTICLE {rGRU73a,
	author="A. Grube",
	title="{M}ehrfach rekursiv-erzeugte {P}seudo-{Z}ufallszahlen",
	language={German},
	journal={Zeitschrift f{\"u}r angewandte Mathematik und Mechanik},
	volume={53},
	year={1973},
	pages={T223--T225}  }

@ARTICLE {rGUI89a,
	author="D. Guinier",
	title="A Fast Uniform ``Astronomical'' Random Number Generator",
	journal={ACM SIGSAC Review},
	volume={7},
	number={1},
	month={Spring},
	year={1989},
	pages={1--13}  }

@ARTICLE {rHAA87a,
	author="A. Haas",
	title="The Multiple Prime Random Number Generator",
	journal={ACM Transactions on Mathematical Software},
	volume={13},
	number={4},
	year={1987},
	pages={368--381}  }

@ARTICLE{rHAL60a,
   author = {J. H. Halton},
   title = {On the efficiency of certain quasi-random sequences
            of points in evaluating multi-dimensional integrals},
   journal = {Numerische Mathematik},
   volume = 2,
   pages = {84--90},
   year = 1960}

@ARTICLE {rHAL89a,
	author="J. H. Halton",
	title="Pseudo-random Trees: Multiple Independent Sequence
	   Generators for Parallel and Branching Computations",
	journal={Journal of Computational Physics},
	volume={84},
	year={1989},
	pages={1--56}  }

@article{rHAM05a,
  author    = {K. Hamano},
  title     = {The Distribution of the Spectrum for the Discrete                  {F}ourier Transform Test Included in {SP800-22}},
  journal   = {IEICE Transactions},
  volume    = {88-A},
  number    = {1},
  year      = {2005},
  pages     = {67-73}
    }

@ARTICLE {rHAM60a,
	author="J. M. Hammersley",
	title="{M}onte {C}arlo Methods for Solving Multivariate Problems",
	journal={Annals of the {N}ew {Y}ork Academy of Science},
	volume={86},
	year={1960},
	pages={844--874}  }

@ARTICLE {rHAN93a,
        author="T. Hansen and G. L. Mullen and H. Niederreiter",
        title="Good Parameters for a Class of Node Sets in
	    Quasi-{M}onte {C}arlo Integration",
        journal={Mathematics of Computation},
        volume={61},
        year={1993},
        pages={225--234}  }

@ARTICLE {rHAN96a,
	author="W. B. Han",
	title="The Coefficients of Primitive Polynomials over Finite Fields",
        journal="Mathematics of Computation",
        volume={65},
        number={213},
	year={1996},
	pages={331--340}  }

@ARTICLE {rHAR08a,
   old = {rHAR07a},
	author="H. Haramoto and M. Matsumoto and T. Nishimura and F. Panneton and P. L'Ecuyer",
	title="Efficient Jump Ahead for {${\bf F}_2$}-Linear Random Number Generators",
  journal="INFORMS Journal on Computing",
  volume={20},
  number={3},
	year={2008},
	Xnote = {GERAD Report G-2006-62},
	pages={385--390}  }

@ARTICLE {rHEI98a,
	author = {S. Heinrich},
	title = {Efficient Algorithms for Computing the $L_2$ Discrepancy},
	journal = {Mathematics of Computation},
	volume = {??},
	pages = {??},
	year = {1998} }

@ARTICLE {rHEL93a,
	author = {P. Hellekalek},
	title = {General Discrepancy Estimates: the {W}alsh Function System},
	journal = {Acta Arithmetica},
	volume = {67},
	pages = {209--218},
	year = {1994} }

@ARTICLE {rHEL93b,
	author = {P. Hellekalek},
	title = {General Discrepancy Estimates {II}:
                 The {H}aar Function System},
	journal = {Acta Arithmetica},
	volume = {67},
	pages = {313--322},
	year = {1994} }

@ARTICLE {rHEL93c,
	author = {P. Hellekalek},
	title = {General Discrepancy Estimates {III}:
                 the {E}rd{\"o}s-{T}ur{\'a}n-{K}oksma Inequality for
                 the {H}aar Function System},
	journal = {Monatsh. Math.},
	volume = {120},
	pages = {25--45},
	year = {1995}}

@TECHREPORT {rHEL94a,
	author = {P. Hellekalek},
	title = {Study of algorithms for primitive polynomials},
	institution = {Research Institute for Software Technology,
                University of Salzburg, Austria},
	type = {Report {D}5{H}-1, {CEI-PACT P}roject, {WP}5.1.2.1.2},
	year = {1994} }

@TECHREPORT {rHEL94b,
	author = {P. Hellekalek and M. Mayer and A. Weingartner},
	title = {Implementation of algorithms for {IMP}-polynomials},
	institution = {Research Institute for Software Technology,
                University of Salzburg, Austria},
	type = {Report {D}5{H}-2, {CEI-PACT P}roject, {WP}5.1.2.1.2},
	year = {1994}}

@inproceedings {rHEL95a,
	author = {P. Hellekalek},
	editor = {C. Alexopoulos and K. Kang and W. R. Lilegdon
                  and D. Goldsman},
	title = {Inversive Pseudorandom Number Generators:
                 Concepts, Results, and Links},
	booktitle = {Proceedings of the 1995 Winter Simulation Conference},
	publisher = {{IEEE} Press},
	year = {1995},
	pages = {255--262}}

@inproceedings {rHEL97a,
   author    = {P. Hellekalek},
   title     = {Good Random Number Generators are (not so) Easy to Find},
   booktitle = {Proc. Second {IMACS} Symposium on Mathematical Modelling,
                {V}ienna},
   year      = {1997},
   editor    = {I. Troch and F. Breitenecker},
   publisher = {{ARGESIM}-Reports, {isbn} 3-901608-11-7} }

@ARTICLE {rHEL97b,
  author = {P. Hellekalek and H. Leeb},
  year = {1997},
  title = {Dyadic Diaphony},
  journal = {Acta Arithmetica},
  volume = {80},
  pages = {187--196},
  abstract = {dyadic diaphony; continuous version of Tezuka's Walsh spectral
             test},
  keywords = {diaphony, Walsh spectral test}
  }

@ARTICLE {rHEL98a,
  author = {P. Hellekalek and H. Niederreiter},
  title = {The Weighted Spectral Test: Diaphony},
  journal = {ACM Transactions on Modeling and Computer Simulation},
  volume = {8},
  number = {1},
  pages = {43--60},
  year = {1998},
  abstract = {proofs of the weighted spectral test with diaphony},
  keywords = {diaphony, spectral test}
  }

@incollection {rHEL98b,
   ex = {rHEL99a},
   author = {Hellekalek, P.},
   title = {On the Assessment of Random and Quasi-random Point Sets},
   booktitle = {Random and Quasi-Random Point Sets},
   editor    = {P. Hellekalek and G. Larcher},
   publisher = {Springer},
   address   = {New York, NY},
   volume    = {138},
   pages     = {49--108},
   year      = {1998},
   series    = {Lecture Notes in Statistics}
  }

@incollection {rHEL98bx,
   author = {Hellekalek, P.},
   title = {On the Assessment of Random and Quasi-random Point Sets},
   pages     = {49--108},
   crossref  = {rHEL98s},
  }

@INcollection {rHEL98c,
  old =    {1997c},
  author = {Hellekalek, P.},
  year   = {1998},
  title  = {On correlation analysis of pseudorandom numbers},
  editor = {Hellekalek, P. and Larcher, G. and Niederreiter, H. and
            Zinterhof, P.},
  booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
  publisher = {Springer-Verlag, New York, NY},
  series = {Lecture Notes in Statistics},
  volume = {127},
  pages = {251--265},
  abstract = {weighted spectral test: the concept; examples: diaphony;
        continuous version of Tezuka's Walsh spectral test}
  }

@INPROCEEDINGS {rHEL98d,
  author = {Hellekalek, P.},
  year = {1998},
  title = {Don't Trust Parallel {M}onte {C}arlo!},
  booktitle = {Twelfth Workshop on Parallel and Distributed Simulation,
               Banff, Canada},
  publisher = {{IEEE} Computer Society},
  address = {Los Alamitos, California},
  pages   = {82--89}
  }

@book {rHEL98e,
   editor    = {Hellekalek, P. and Larcher, G. and Niederreiter, H. and
                Zinterhof, P.},
   title     = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
   publisher = {Springer},
   address   = {New York, NY},
   volume    = {127},
   year      = {1998},
   series    = {Lecture Notes in Statistics}
  }

@Article{rHEL98f,
  author = 	 {P. Hellekalek},
  title = 	 {Good Random Number Generators are (not so) Easy to Find},
  journal = 	 {Mathematics and Computers in Simulation},
  year = 	 {1998},
  volume =	 {46},
  optnumber = 	 {},
  pages =	 {485--505},
  optannote = 	 {survey for practitioners}
}

@book {rHEL98s,
   title     = {Random and Quasi-Random Point Sets},
   editor    = {P. Hellekalek and G. Larcher},
   publisher = {Springer},
   address   = {New York, NY},
   volume    = {138},
   year      = {1998},
   series    = {Lecture Notes in Statistics}
  }

@ARTICLE {rHEL03a,
	author="P. Hellekalek and S. Wegenkittl",
	title="Empirical Evidence concerning {AES}",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={13},
	number={4},
	year={2003},
	pages={322--333}  }

@MANUAL {rHEN94a,
        author={M. Hennecke},
        title={{RANEXP}: Experimental Random Number Generator Package},
        institution={University of Karlsruhe -- Computer Center},
        note={Author's e-mail: {\tt hennecke@rz.uni-karlsruhe.de}},
        year={1994} }

@Article{rHER76a,
  author = 	 {T. Herzog and J. C. {Owings Jr.}},
  title = 	 {...},
  journal = 	 {Zeitschrift f\"ur Mathematische Logik und
		  Grundlagen der Mathematik},
  year = 	 {1976},
  volume =	 {22},
  pages =	 {385--389}
}

@ARTICLE {rHER92a,
	author={J. R. Heringa and H. W. J. Bl{\"o}te and A. Compagner},
	title="New Primitive Trinomials of {M}ersenne-Exponent Degrees for
	       Random-Number Generation",
	journal={International Journal of Modern Physics C},
	volume={3},
	number={3},
	year={1992},
	pages={561--564}  }

@incollection {rHER97a,
   author    = {E. Herrmann and S. Wegenkittl},
   title     = {Visualization of Empirical Test Results for
                Pseudorandom Number Generators},
   booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
   editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                and P. Zinterhof},
   publisher = {Springer-Verlag},
   address   = {New York, NY},
   volume    = {127},
   pages     = {??--??},
   year      = {1998},
   series    = {Lecture Notes in Statistics} }

@Article{rHIL70a,
  author = 	 {G. W. Hill},
  title = 	 {Algorithm 395: {S}tudent's $t$-Distribution},
  journal = 	 {Communications of the {ACM}},
  year = 	 {1970},
  volume =	 {13},
  optnumber = 	 {},
  pages =	 {617--619},
  optmonth = 	 {},
}

@ARTICLE {rHIL93a,
	author="M. Hildebrand",
	title="Random Processes of the Form {$X_{n+1} = a_n X_n + b_n$}
            (mod {$p$})",
	journal={The Annals of Probability},
	volume={21},
	year={1993},
	pages={710--720}  }

@ARTICLE {rHOA78a,
	author="D. C. Hoaglin and M. L. King",
	title="A Remark on Algorithm {AS} 98: The Spectral Test for the
	       Evaluation of Congruential Pseudo-random Generators",
	journal={Applied Statistics},
	volume={27},
	year={1978},
	pages={375--377}  }

@ARTICLE {rHOL94a,
	author="B. L. Holian and O. E. Percus and
              T. T. Warnock and P. A. Whitlock",
	title="Pseudorandom Number Generator for Massively Parallel
             Molecular-Dynamics Simulations",
	journal={Physical Review {E}},
	volume={50},
        number={2},
	year={1994},
	pages={1607--1615}  }

@ARTICLE {rHOR48a,
	author="H. B. Horton",
	title="A Method for Obtaining Random Numbers",
	journal={Annals of Mathematical Statistics},
	volume={19},
	year={1948},
	pages={81--85}  }

@ARTICLE {rHOR49a,
	author="H. B. Horton and R. T. {Smith III}",
	title="A Direct Method for Producing Random Digits in any
	       Number System",
	journal={Annals of Mathematical Statistics},
	volume={20},
	year={1949},
	pages={82--90}  }

@ARTICLE {rHOR90a,
      author={W. H{\"o}ermann and G. Derflinger},
      title={The {ACR} Method for generating normal random variables},
      journal={OR Spektrum},
      volume={12},
      pages={181--185},
      year={1990}}

@ARTICLE {rHOR93a,
	author={W. H{\"o}rmann and G. Derflinger},
	title="A Portable Random Number Generator Well Suited for the
             Rejection Method",
	journal={{ACM} Transactions on Mathematical Software},
	volume={19},
	number={4},
	year={1993},
	pages={489--495}  }

@ARTICLE {rHOR94a,
	author={W. H{\"o}rmann and G. Derflinger},
	title="The Transformed Rejection Method for Generating Random Variables,
	       An Alternative to the Ratio-of-Uniforms Method",
	journal={Communications in Statistics: Simulation and Computation},
	volume={23},
	number={3},
	year={1994},
	pages={847--860}  }

@ARTICLE {rHOR96a,
	author={W. H{\"o}rmann and G. Derflinger},
	title="Rejection-Inversion to Generate Variates from Monotone Discrete
	       Distributions",
	journal={{ACM} Transactions on Modeling and Computer Simulation},
	volume={6},
	number={3},
	year={1996},
	pages={169--184}  }

@inproceedings {rHOR00a,
	author={W. H{\"o}rmann and J. Leydold},
	title="Automatic Random Variate Generation for Simulation Input",
	booktitle={Proceedings of the 2000 Winter Simulation Conference},
        editor = {J. A. Joines and R. R. Barton and K. Kang
                  and P. A. Fishwick},
	publisher="{IEEE} Press",
        address= {Piscataway, NJ},
	month={Dec},
	year={2000},
	pages={675--682}  }

@ARTICLE {rHOR02a,
	author={W. H{\"o}rmann and G. Derflinger},
	title="Fast Generation of Order Statistics",
	journal={{ACM} Transactions on Modeling and Computer Simulation},
	volume={12},
	number={2},
	year={2002},
	pages={83--93}  }

@ARTICLE {rHOR03a,
	author="W. H{\"o}rmann and J. Leydold",
	title="Continuous Random Variate Generation by Fast Numerical
         Inversion",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={13},
	number={4},
	year={2003},
	pages={347--362}  }

@Book{rHOR04a,
  author =	 {W. H\"ormann and J. Leydold and G. Derflinger},
  title = 	 {Automatic Nonuniform Random Variate Generation},
  publisher = 	 {Springer-Verlag},
  year = 	 {2004},
  OPTseries = 	 {},
  address =	 {Berlin},
  optannote = 	 {}
}

@ARTICLE {rHOS86a,
	author="J. M. Hosack",
	title="The Use of {C}ebysev Mixing to Generate Pseudo-random Numbers",
	journal={Journal of Computational Physics},
	volume={67},
	year={1986},
	pages={482--486}  }

@ARTICLE {rHUB94a,
	author="K. Huber",
	title="On the Period Length of Generalized Inversive
            Pseudorandom Number Generators",
	journal={Applied Algebra in Engineering, Communications,
                 and Computing},
	volume={5},
	year={1994},
	pages={255--260}  }

@ARTICLE {rHUL62a,
	author="T. E. Hull",
	title="Random Number Generators",
	journal={SIAM Review},
	volume={4},
	year={1962},
	pages={230--254}  }

@INPROCEEDINGS {rIMP89a,
	author="R. Impagliazzo and L. A. Levin and M. Luby",
	title="Pseudo-random Generation From One-Way Functions (Extended
	       Abstract)",
	booktitle={Proceedings of the Symposium on Theory of Computing '89},
	year={1989},
	pages={12--24},
	publisher="ACM Publications"  }

@Manual {rIBM68a,
  title = 	 {System/360 Scientific Subroutine Package, Version {III},
                  Programmer's Manual},
  optkey = 	 {},
  optauthor =	 {IBM},
  organization = {IBM},
  address =	 {White Plains, New York},
  optedition = 	 {},
  optmonth = 	 {},
  year =	 {1968},
  pages = {77},
  optnote = 	 {},
  optannote = 	 {}
}

@INPROCEEDINGS {rIMP89b,
	author="R. Impagliazzo and D. Zuckerman",
	title="How to Recycle Random Bits",
	booktitle={Proceedings of the 30th Symposium on Foundations of Computer
	           Science},
	year={1989},
	pages={248--254},
	publisher="{IEEE} Press"  }

@ARTICLE {rINOa,
	author="H. Inoue and H. Kumahora and Y. Yoshizawa and M. Ichimura and O. Miyatake",
	title="Random Numbers Generated by a Physical Device",
	journal={Applied Statistics},
	volume={32},
	number={2},
	year={1983},
	pages={115--120}  }

@ARTICLE {rIZU88a,
	author="T. Izumi",
	title="Fast Generation of a White and Normal Random Signal",
	journal={{IEEE} Transactions on Instrumentation and Measurement},
	volume={37},
	number={2},
	year={1988},
	pages={316--318}  }

@ARTICLE {rJAM90a,
	author="F. James",
	title="A Review of Pseudorandom Number Generators",
	journal={Computer Physics Communications},
	volume={60},
	year={1990},
	pages={329--344}  }

@ARTICLE {rJAM94a,
	author="F. James",
	title={{RANLUX}: A {F}ortran Implementation of the High-Quality
             Pseudorandom Number Generator of {L}{\"u}scher},
	journal={Computer Physics Communications},
	volume={79},
	year={1994},
	pages={111--114}  }

@INPROCEEDINGS{rJEN96a,
        author    = "B. Jenkins",
        title     = "{ISAAC}",
        editor    = {Dieter Gollmann},
        booktitle = {Fast Software Encryption, Proceedings of the
                      Third International Workshop, Cambridge, UK},
        publisher = {Springer-Verlag},
        series    = {Lecture Notes in Computer Science},
        volume    = {1039},
        isbn      = {3-540-60865-6},
        note      = {\url{http://burtleburtle.net/bob/rand/isaacafa.html}},
        pages     = {41--49},
        year      = {1996} }

@ARTICLE {rJEN00a,
   author="T. Jennewein and U. Achleitner and G. Weihs and H. Weinfurter
                     and A. Zeilinger",
   title="A Fast and Compact Quantum Random Number Generator",
   journal={Review of Scientific Instruments},
   year={2000},
   volume={71},
   pages={1675--1680}  }

@ARTICLE {rJEN83a,
	author="L. P. Jennergren",
	title="Another Method for Random Number Generation on Microcomputers",
	journal={Simulation},
	volume={41},
	year={1983},
	pages={79}  }

@article{rJOE03a,
  author    = {S. Joe and F. Y. Kuo},
  title     = {Remark on Algorithm 659: Implementing {S}obol's quasirandom
               sequence generator},
  journal   = {{ACM} Transactions on Mathematical Software},
  volume    = {29},
  number    = {1},
  year      = {2003},
  pages     = {49--57},
}

@inproceedings{rJOE06a,
  author =       {S. Joe},
  title =        {Construction of Good Rank-1 Lattice Rules Based on the
                  Weighted Star Discrepancy},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
  pages =	 {181--196},
  year =       {2006},
  editor =	 {H. Niederreiter and D. Talay},
  optaddress =	 {Berlin},
  optpublisher =  {Springer-Verlag},
}

@article{rJOE08a,
  author    = {S. Joe and F. Y. Kuo},
  title     = {Constructing {S}obol Sequences with Better Two-Dimensional Projections},
  journal   = {{SIAM} Journal on Scientific Computing},
  volume    = {30},
  number    = {5},
  year      = {2008},
  pages     = {2635--2654},
}

@ARTICLE {rJOH96a,
	author="B. C. Johnson",
	title="Radix-{$b$} Extensions to Some Common Tests for Randomness",
	journal={ACM Transactions on Modeling and Computer Simulation},
	xvolume={79},
	year={1996},
	xpages={111--114},
  note={Submitted}  }

@ARTICLE {rJON96a,
	author={M. C. Jones and A. D. Lunn},
	title="Transformations and Random Variate Generation: Generalised
	       Ratio-of-Uniforms Methods",
	journal={Journal of Statistical Computation and Simulation},
	volume={55},
	number={1--2},
	year={1996},
	pages={49--55}  }

@article {rKAC83a,
	author = {M. Kac},
	title = {What is Random~?},
	journal = {American Scientist},
	volume = {71},
	pages = {405--406},
	year = {1983} }

@INPROCEEDINGS {rKAI94a,
	author="W. D. Kaigh and E. F. Schuster",
	title="{SRS} Runs and Spacings Tests to Assess Randomness",
	booktitle={Proceedings of Computational Statistics ........  QA 276},
	year={1994},
	pages={272--277},
	publisher="??"  }

@ARTICLE {rKAN88a,
	author="R. Kannan and A. K. Lenstra and L. Lov{\'a}sz",
	title="Polynomial Factorization and Nonrandomness of Bits of
	       Algebraic and Some Transcendental Numbers",
	journal={Mathematics of Computation},
	volume={50},
	number={181},
	year={1988},
	pages={235--250}  }

@BOOK {rKAR91a,
	author="Z. A. Karian and E. J. Dudewicz",
	title={Modern Statistical, Systems, and {GPSS} Simulation: The First
	       Course},
	publisher="Computer Science Press",
	address={Freeman, New York, NY},
	year={1991}  }

@techreport {rKEL05a,
   author = {S. S. Keller},
   title  = {{NIST}-Recommended Random Number Generator based on {ANSI X9.31}
             {A}ppendix {A.2.4} using the 3-Key Triple {DES} and {AES} Algorithms},
   institution = {U.S. DoC/National Institute of Standards and Technology},
   year      = {2005},
   note      = {See \url{http://csrc.nist.gov/cryptval/rng/931rngext.pdf}},
   pages    = {1--4}   }

@Article{rKEM81a,
  author = 	 {A. W. Kemp},
  title = 	 {Efficient Generation of Logarithmically Distributed
                  Pseudo-random Variables},
  journal = 	 {Applied Statistics},
  year = 	 {1981},
  volume =	 {30},
  optnumber = 	 {},
  pages =	 {249--253},
  optannote = 	 {}
}

@ARTICLE {rKEN38a,
	author="M. G. Kendall and B. Babington-Smith",
	title="Randomness and other random sampling numbers",
	journal={Journal of the Royal Statistical Society},
	volume={101},
	year={1938},
	pages={147--166}  }

@ARTICLE {rKEN39a,
	author="M. G. Kendall and B. Babington-Smith",
	title="Second paper on random sampling numbers",
	journal={Journal of the Royal Statistical Society Supplement},
	volume={6},
	year={1939},
	pages={51--61}  }

@ARTICLE {rKER37a,
	author="W. O. Kermack and A. G. Kendrick",
	title="Tests for randomness in a series of numerical observations",
	journal={Proc. of the Royal Society of Edinburgh},
	volume={57},
	year={1937},
	pages={228--240}  }

@ARTICLE {rKER37b,
	author="W. O. Kermack and A. G. Kendrick",
	title="Some distributions associated with a randomly arranged set of
                numbers",
	journal={Proc. of the Royal Society of Edinburgh},
	volume={57},
	year={1937},
	pages={332--376}  }

@misc{rKim04a,
    author = {S. Kim and K. Umeno and A. Hasegawa},
    title = {Corrections of the {NIST} Statistical Test Suite for Randomness},
    year = {2004},
    note = {Cryptology ePrint Archive: Report 2004/018. Available
             at  \url{http://eprint.iacr.org/2004/018.pdf}}
     }

@ARTICLE {rKIN76a,
      author="A. J. Kinderman and J. G. Ramage",
      title="Computer Generation of Normal Random Variables",
      journal={Journal of the American Statistical Association},
      volume={71},
      pages={893--898},
      year={1976}}

@ARTICLE {rKIN77a,
      author="A. J. Kinderman and J. F. Monahan",
      title="Computer Generation of Random Variables Using the Ratio of
             Uniform Deviates",
      journal={{ACM} Transactions on Mathematical Software},
      volume={3},
      pages={257--260},
      year={1977}}

@ARTICLE {rKIN80a,
      author="A. J. Kinderman and J. F. Monahan",
      title="New Methods for Generating {S}tudent's t and Gamma Variables",
      journal={Computing},
      volume={25},
      pages={369--377},
      year={1980}}

@article{rKIR81a,
	author = {S. Kirkpatrick and E. Stoll},
	title = {A Very Fast Shift-Register Sequence Random Number Generator},
	journal = {Journal of Computational Physics},
	volume = {40},
	pages = {517--526},
	year = {1981} }

@BOOK {rKNU69a,
	author="D. E. Knuth",
	title={The Art of Computer Programming, Volume 2:
	   Seminumerical Algorithms},
	edition={First},
	publisher="Addison-Wesley",
        address={Reading, MA},
	year={1969}  }

@TECHREPORT {rKNU80a,
	author="D. E. Knuth",
	title="Deciphering a Linear Congruential Encryption",
        number={024800},
	institution={Dept. of Computer Science},
	address={Stanford University},
	year={1980}  }

@BOOK {rKNU81a,
	author="D. E. Knuth",
	title={The Art of Computer Programming, Volume 2:
	   Seminumerical Algorithms},
	edition={Second},
	publisher="Addison-Wesley",
        address={Reading, MA},
	year={1981}  }

@BOOK {rKNU97a,
	author="D. E. Knuth",
	title={The Art of Computer Programming, Volume 2:
	   Seminumerical Algorithms},
	edition={Third},
	publisher="Addison-Wesley",
        address={Reading, MA},
	year={1998}  }

@BOOK {rKNU98a,
       old = {rKNU97a},
	author="D. E. Knuth",
	title={The Art of Computer Programming, Volume 2:
	   Seminumerical Algorithms},
	edition={Third},
	publisher="Addison-Wesley",
        address={Reading, MA},
	year={1998}  }

@ARTICLE {rKOC95a,
	author="C. Ko{\c{c}}",
	title="Recurring-with-Carry Sequences",
	journal={Journal of Applied Probability},
	volume={32},
	year={1995},
	pages={966--971}  }

@Article{rKOL63a,
  author = 	 {A. N. Kolmogorov},
  title = 	 {On Tables of Random Numbers},
  journal = 	 {Sankhya, Series A},
  year = 	 {1963},
  volume = 	 {25},
  pages = 	 {369--376}
}

@ARTICLE {rKON89a,
	author="A. E. Koniges and C. E. Leith",
	title="Parallel Processing of Random Number Generation for
	  {M}onte {C}arlo Turbulence Simulation",
	journal={Journal of Computational Physics},
	volume={81},
	year={1989},
	pages={230--235}  }

@INPROCEEDINGS {rKRA90a,
	author="H. Krawczyk",
	title="How to Predict Congruential Generators",
	series={Lecture Notes in Computer Science},
	booktitle={Advances in Cryptology: Proceedings of CRYPTO'89},
	editor={G. Brassard},
	publisher="Springer-Verlag, Berlin",
	year={1990},
	volume={435},
	pages={138--153}  }

@Article{rKRO79a,
  author = 	 {R. A. Kronmal and A. V. Peterson},
  title = 	 {On the Alias Method for Generating Random Variables from
              Discrete a Distribution},
  journal = 	 {The American Statistician},
  year = 	 {1979},
  volume =	 {33},
  number = 	 {4},
  pages =	 {214--218},
  optannote = 	 {}
}

@Article{rKRO84a,
  author = 	 {R. A. Kronmal and A. V. Peterson},
  title = 	 {An Acceptance-Complement Analogue of the
     Mixture-Plus-Acceptance-Rejection Method for Generating Random Variables},
  journal = 	 {{ACM} Transactions on Mathematical Software},
  year = 	 {1984},
  volume =	 {10},
  optnumber = 	 {},
  pages =	 {271--281},
  optannote = 	 {}
}

@book {rKUI74a,
	author = {L. Kuipers and H. Niederreiter},
	title = {Uniform Distribution of Sequences},
	publisher = {John Wiley},
	year = {1974},
	address = {New York, NY}}

@article{rKUO02a,
  author    = {F. Y. Kuo and S. Joe},
  title     = {Component-by-Component Construction of Good Lattice Rules
               with a Composite Number of Points},
  journal   = {Journal of Complexity},
  volume    = {18},
  number    = {4},
  year      = {2002},
  pages     = {943--976},
}

@article{rKUO03a,
  author    = {F. Y. Kuo},
  title     = {Component-by-component constructions achieve the optimal
               rate of convergence for multivariate integration in weighted
               {K}orobov and {S}obolev spaces},
  journal   = {Journal of Complexity},
  volume    = {19},
  number    = {3},
  year      = {2003},
  pages     = {301--320},
}

@article{rKUO05a,
  author    = {F. Y. Kuo and I. H. Sloan},
  title     = {Quasi-{M}onte {C}arlo methods can be efficient for integration
               over products of spheres},
  journal   = {Journal of Complexity},
  volume    = {21},
  number    = {2},
  year      = {2005},
  pages     = {196--210},
}

@ARTICLE {rKUR91a,
	author="Y. Kurita and M. Matsumoto",
	title="Primitive $t$-nomials $(t=3,5)$ over $GF(2)$ whose Degree is a
	{M}ersenne Exponent $\le 44497$",
	journal={Mathematics of Computation},
	volume={56},
	number={194},
	year={1991},
	pages={817--821}  }

@ARTICLE {rLAG88a,
	author="J. C. Lagarias and J. Reeds",
	title="Unique Extrapolation of Polynomial Recurrences",
	journal={SIAM Journal on Computing},
	volume={17},
        number={2},
	year={1988},
	pages={342--362}  }

@ARTICLE {rLAG93a,
	author="J. C. Lagarias",
	title="Pseudorandom Numbers",
	journal={Statistical Science},
	volume={8},
        number={1},
	year={1993},
	pages={31--39}  }

@ARTICLE {rLAR94a,
   author = {G. Larcher and C. Traunfellner},
   title  = {The Numerical Integration of {W}alsh Series},
   journal = {Mathematics of Computation},
   volume = {63},
   pages = {277--291},
   year = { 1994}}

@INPROCEEDINGS {rLAR95b,
    author       = {G. Larcher and W. C. Schmid},
    title        = {Multivariate {W}alsh Series, Digital Nets and
                   Quasi-{M}onte {C}arlo Integration},
    booktitle    = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
                   Scientific Computing},
    year         = {1995},
    editor       = {H. Niederreiter and P. J.-S. Shiue},
    volume       = {106},
    series       = {Lecture Note in Statistics},
    pages        = {252--262},
    publisher    = {Springer-Verlag},
    address      = {New York, NY} }

@article {rLAR96a,
   author = {Larcher, G. and Niederreiter, H. and Schmid, W.
             Ch.},
    title = {Digital nets and sequences constructed over finite rings and
             their application to quasi-{M}onte {C}arlo integration},
  journal = {Monatshefte f\"ur Mathematik},
   volume = {121},
     year = {1996},
   number = {3},
    pages = {231--253},
     issn = {0026-9255},
    coden = {MNMTA2},
}

@ARTICLE {rLAR96b,
       ex = {rLAR95a},
   author = {Larcher, G. and Lauss, A. and Niederreiter, H. and Schmid, W.
             Ch.},
    title = {Optimal polynomials for $(t,m,s)$-nets and numerical
             integration of multivariate {W}alsh series},
  journal = {SIAM Journal on Numerical Analysis},
   volume = {33},
     year = {1996},
   number = {6},
    pages = {2239--2253},
     issn = {0036-1429},
}

@incollection {rLAR98a,
   author    ="G. Larcher",
   title     ="Digital Point Sets: Analysis and Applications",
   booktitle = {Random and Quasi-Random Point Sets},
   editor    = {P. Hellekalek and G. Larcher},
   publisher = {Springer},
   address   = {New York, NY},
   volume    = {138},
   pages     = {167--222},
   year      = {1998},
   isbn      = {isbn is 0-387-98554-9},
   series    = {Lecture Notes in Statistics} }

@incollection {rLAR98ax,
   author    ="G. Larcher",
   title     ="Digital Point Sets: Analysis and Applications",
   pages     = {167--222},
   crossref  = {rHEL98s},
   }

@article{rLAR99a,
   author = "G. Larcher and G. Pirsic",
   title = "Base change Problems for Generalized {W}alsh series and
            Multivariate Numerical Integration",
   journal = "Pacific Journal of Mathematics",
   volume = "189",
   pages = "75--105",
   year = "1999"}

@INPROCEEDINGS {rLEC86a,
	author="P. L'Ecuyer",
	title="Efficient and Portable 32-Bit Random Variate Generators",
	booktitle={Proceedings of the 1986 Winter Simulation Conference},
	year={1986},
	pages={275--277}  }

@INPROCEEDINGS {rLEC87a,
	author="P. L'Ecuyer",
	title="A Portable Random Number Generator for 16-Bit Computers",
	booktitle={Modeling and Simulation on Microcomputers 1987},
	ORGANIZATION={The Society for Computer Simulation},
	year={1987},
	pages={45--49}  }

@ARTICLE {rLEC88a,
	author="P. L'Ecuyer",
	title="Efficient and Portable Combined Random Number Generators",
	journal={Communications of the ACM},
	volume={31},
	number={6},
	year={1988},
        note={See also the correspondence in the same journal,
           32, 8 (1989) 1019--1024},
	pages={742--749 and 774} }

@INPROCEEDINGS {rLEC88b,
	author="P. L'Ecuyer and F. Blouin",
	title="Linear Congruential Generators of Order $k>1$",
	booktitle={Proceedings of the 1988 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1988},
	pages={432--439}  }

@TECHREPORT {rLEC88c,
	author="P. L'Ecuyer and F. Blouin",
	title="Generalized Linear Congruential Generators",
        number={DIUL-RT-8814},
	institution={Compter Science Department, Laval University},
	address={Ste-Foy (Que.), Canada},
	year={1988},
        note={Also presented at ORSA/TIMS St-Louis, 1987} }

@TECHREPORT {rLEC88e,
	author="P. L'Ecuyer and F. Blouin",
	title="BonGCL, un Lociciel pour la Recherche de Bons
	  G\'{e}n\'{e}rateurs {\`a} Congruence Lin{\'e}aire",
        language={French},
        number={DIUL-RT-8803},
	institution={Compter Science Department, Laval University},
	address={Ste-Foy (Que.), Canada},
	year={1988} }

@INPROCEEDINGS {rLEC89a,
	author="P. L'Ecuyer",
	title="A Tutorial on Uniform Variate Generation",
	booktitle={Proceedings of the 1989 Winter Simulation Conference},
	publisher="{IEEE} Press",
	month={Dec},
	year={1989},
	pages={40--49}  }

@INPROCEEDINGS {rLEC89b,
	author="P. L'Ecuyer and R. Proulx",
	title="About Polynomial-Time ``Unpredictable'' Generators",
	booktitle={Proceedings of the 1989 Winter Simulation Conference},
	publisher="{IEEE} Press",
	month={Dec},
	year={1989},
	pages={467--476}  }

@ARTICLE {rLEC90a,
	author="P. L'Ecuyer",
	title="Random Numbers for Simulation",
	journal={Communications of the ACM},
	volume={33},
	number={10},
	year={1990},
	pages={85--97}  }

@ARTICLE {rLEC91a,
	author="P. L'Ecuyer and S. C{\^o}t{\'e}",
	title="Implementing a Random Number Package with Splitting Facilities",
	journal={ACM Transactions on Mathematical Software},
	volume={17},
	number={1},
	year={1991},
	pages={98--111}  }

@ARTICLE {rLEC91b,
	author="P. L'Ecuyer and S. Tezuka",
	title="Structural Properties for Two Classes of Combined Random Number
	       Generators",
	journal={Mathematics of Computation},
	volume={57},
	number={196},
	year={1991},
	pages={735--746}  }

@INPROCEEDINGS {rLEC92a,
	author="P. L'Ecuyer",
	title="Testing Random Number Generators",
	booktitle={Proceedings of the 1992 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1992},
	month={Dec},
	pages={305--313}  }

@ARTICLE {rLEC93a,
	author="P. L'Ecuyer and F. Blouin and R. Couture",
	title="A Search for Good Multiple Recursive Random Number Generators",
	journal={ACM Transactions on Modeling and Computer Simulation},
        volume={3},
        number={2},
        pages={87--98},
	year={1993} }

@ARTICLE {rLEC94a,
	author="P. L'Ecuyer",
	title="Uniform Random Number Generation",
	journal={Annals of Operations Research},
        volume={53},
        pages={77--120},
	year={1994} }

@INCOLLECTION {rLEC94b,
      author="P. L'Ecuyer",
      title={Random Number Generators},
      booktitle={The Encyclopedia of Operations Research
        and Management Science},
      editor={S. I. Gass et C. M. Harris eds.},
      publisher="Kluwer Academic Publishers",
      address={New York, NY},
      year={1996},
      pages = {571--578} }

@ARTICLE {rLEC94c,
	author="P. L'Ecuyer",
	title="Combined Multiple Recursive Generators",
	journal={Operations Research},
        volume={44},
        number ={5},
        pages={816--822},
	year={1996} }

@ARTICLE {rLEC94d,
        new = "rLEC97b",
	author="P. L'Ecuyer",
	title="Bad Lattice Structures for Vectors of Non-Successive
	   Values Produced by Some Linear Recurrences",
	journal={INFORMS Journal on Computing},
        volume={9},
        number ={1},
        pages={57--60},
	year={1997}  }

@ARTICLE {rLEC94e,
	author="P. L'Ecuyer and R. Couture",
	title="An Implementation of the Lattice and Spectral Tests for
	       Multiple Recursive Linear Random Number Generators",
	journal={INFORMS Journal on Computing},
        volume={9},
        number={2},
        pages={206--217},
	year={1997} }

@TECHREPORT {rLEC94f,
	author="P. L'Ecuyer and R. Couture",
	title="Lat{MRG} User's Guide, a Toolkit for Theoretical Testing
           of Linear Congruential and Multiple Recursive Generators",
	note={In preparation},
        xnumber={},
	xinstitution={GERAD, University of Montreal},
	address={Montreal, Canada},
	year={1996}  }

@UNPUBLISHED {rLEC95d,
	author="P. L'Ecuyer",
	title="Evaluation Report of AECL-10983/COG-93-423:
               Algorithms for Pseudorandom Numbers Generators",
	year={1995},
        month={March} }

@ARTICLE {rLEC96a,
        old="rLEC94g",
	author="P. L'Ecuyer",
	title="Maximally Equidistributed Combined {T}ausworthe Generators",
        journal="Mathematics of Computation",
        volume={65},
        number={213},
	year={1996},
	pages={203--213}  }

@ARTICLE {rLEC96b,
        old="rLEC94c",
	author="P. L'Ecuyer",
	title="Combined Multiple Recursive Random Number Generators",
	journal={Operations Research},
        volume={44},
        number ={5},
        pages={816--822},
	year={1996} }

@ARTICLE {rLEC96c,
	author="C. L{\'e}cot",
	title="Error Bounds for Quasi-{M}onte {C}arlo Integration with Nets",
        journal="Mathematics of Computation",
        volume={65},
        number={213},
	year={1996},
	pages={179--187}  }

@UNPUBLISHED {rLEC96e,
	author="P. L'Ecuyer and A. Compagner and J.-F. Cordeau",
	title="Entropy Tests for Random Number Generators",
	journalx={},
        volumex={},
        pagesx={},
        note={Manuscript},
	year={1996} }

@article {rLEC96f,
	author="P. L'Ecuyer",
	title="Tests Based on Sum-Functions of Spacings
               for Uniform Random Numbers",
	journal={Journal of Statistical Computation and Simulation},
        volume={59},
        pages={251--269},
	year={1997} }

@INPROCEEDINGS {rLEC96g,
	author="P. L'Ecuyer and J.-F. Cordeau",
	title="Tests sur les Points Rapproch\'es pour les
               G\'en\'erateurs de Valeurs Al\'eatoires",
	booktitle={Compte-Rendus de ASU'96:
               Les XXVIII-i\`emes Journ\'ees de Statistique},
        language={French},
	year={1996},
	pages={479--482},
	address={D\'epartement de Math\'ematiques, Universit\'e Laval}  }

@INCOLLECTION {rLEC96h,
      author="P. L'Ecuyer",
      title={Random Number Generators},
      booktitle={The Encyclopedia of Operations Research
                 and Management Science},
      editor={S. I. Gass et C. M. Harris eds.},
      publisher="Kluwer Academic Publishers",
      address={New York, NY},
      year={1996},
      pages = {571--578} }

@article {rLEC96i,
        new = "rLEC97d",
	author="P. L'Ecuyer and T. H. Andres",
	title="A Random Number Generator Based on the Combination of
               Four {LCGs}",
	journal={Mathematics and Computers in Simulation},
        volume={44},
        pages={99--107},
	year={1997}
        }

@UNPUBLISHED {rLEC96s,
	author="P. L'Ecuyer",
	title="Test{U}01: Un logiciel pour appliquer des tests statistiques
               \`a des g\'en\'erateurs de valeurs al\'eatoires",
        language={French},
	journalx={},
        volumex={},
        pagesx={},
	year={Circa 2000},
	note={In preparation}  }

@ARTICLE {rLEC97b,
        old = {rLEC94d},
	author="P. L'Ecuyer",
	title="Bad Lattice Structures for Vectors of Non-Successive
	   Values Produced by Some Linear Recurrences",
	journal={INFORMS Journal on Computing},
        volume={9},
        number ={1},
        pages={57--60},
	year={1997}  }

@ARTICLE {rLEC97c,
        old="rLEC94e",
	author="P. L'Ecuyer and R. Couture",
	title="An Implementation of the Lattice and Spectral Tests for
	       Multiple Recursive Linear Random Number Generators",
	journal={INFORMS Journal on Computing},
        volume={9},
        number={2},
        pages={206--217},
	year={1997} }

@article {rLEC97d,
        old = "rLEC96i",
	author="P. L'Ecuyer and T. H. Andres",
	title="A Random Number Generator Based on the Combination of
               Four {LCG}s",
	journal={Mathematics and Computers in Simulation},
        volume={44},
        pages={99--107},
	year={1997},
        notexx={Manuscript (A longer version of the present paper)}
        }

@INCOLLECTION {rLEC97e,
      author="P. L'Ecuyer",
      title={Uniform Random Number Generation},
      booktitle={Encyclopedia of Computer Science and Technology},
      volume = {39},
      editor={A. Kent and J. G. Williams},
      publisher="Marcel Dekker",
      address = {New York, NY},
      pages = {323--339},
      year={1998} }

@article {rLEC97h,
        ex = {rLEC96f},
	author="P. L'Ecuyer",
	title="Tests Based on Sum-Functions of Spacings
               for Uniform Random Numbers",
	journal={Journal of Statistical Computation and Simulation},
        volume={59},
        pages={251--269},
	year={1997} }

@INPROCEEDINGS {rLEC97i,
	author="P. L'Ecuyer",
	title="Uniform Random Number Generators: A Review",
	booktitle={Proceedings of the 1997 Winter Simulation Conference},
	publisher="{IEEE} Press",
	month={Dec},
	year={1997},
	pages={127--134}  }

@INCOLLECTION {rLEC98a,
      ex = {rLEC97a},
      author="P. L'Ecuyer",
      title={Random Number Generation},
      booktitle={Handbook of Simulation},
      editor={Jerry Banks},
      publisher="Wiley",
      pages = {93--137},
      note={chapter 4},
      isbn = {0-471-13403-1},
      Price = {\$125. US},
      year={1998} }

@UNPUBLISHED {rLEC98b,
        paper = {rLEC97f},
	author="P. L'Ecuyer",
	title="Good Parameters and Implementations for
           Combined Multiple Recursive Random Number Generators",
	year={1999},
	note={Available as file {\tt combmrg2.ps} at URL
             {\tt www.iro.umontreal.ca/$\sim$lecuyer}.
             The C code is in file {\tt combmrg2.c}}
        }

@INPROCEEDINGS {rLEC98c,
	author="P. L'Ecuyer",
	title="Uniform Random Number Generators",
	booktitle={Proceedings of the 1998 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1998},
        xnote={good short survey},
	pages={97--104}  }

@incollection {rLEC98h,
   old = "rLEC99h",
   author    ="P. L'Ecuyer and P. Hellekalek",
   title     ="Random Number Generators: Selection Criteria and Testing",
   booktitle = {Random and Quasi-Random Point Sets},
   editor    = {P. Hellekalek and G. Larcher},
   publisher = {Springer-Verlag},
   address   = {New York, NY},
   volume    = {138},
   pages     = {223--265},
   year      = {1998},
   isbn      = {isbn is 0-387-98554-9},
   series    = {Lecture Notes in Statistics} }

@INCOLLECTION {rLEC98t,
   old = "rLEC97s",
   author    ="P. L'Ecuyer",
   title     ="Random Number Generators and Empirical Tests",
   booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
   editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                and P. Zinterhof},
   publisher = {Springer-Verlag},
   address   = {New York, NY},
   volume    = {127},
   pages     = {124--138},
   year      = {1998},
   series    = {Lecture Notes in Statistics} }

@article {rLEC99a,
        old = "rLEC97g",
	author="P. L'Ecuyer",
	title="Tables of Maximally Equidistributed Combined {LFSR} Generators",
	journal={Mathematics of Computation},
        volume={68},
        number={225},
        pages={261--269},
	year={1999}
        }

@article {rLEC99b,
        old = "rLEC97f",
	author="P. L'Ecuyer",
	title="Good Parameters and Implementations for
           Combined Multiple Recursive Random Number Generators",
	journal={Operations Research},
        volume={47},
        number={1},
        pages={159--164},
	year={1999}
        }

@ARTICLE {rLEC99c,
        old = "rLEC97l",
	author="P. L'Ecuyer",
	title="Tables of Linear Congruential Generators of Different Sizes
               and Good Lattice Structure",
        journal="Mathematics of Computation",
        volume={68},
        number={225},
        pages={249--260},
	year={1999}
        }

@article {rLEC99e,
        author="P. L'Ecuyer and R. Simard",
        title="Beware of Linear Congruential Generators with
                Multipliers of the Form $a = \pm 2^q\pm 2^r$",
        journal={{ACM} Transactions on Mathematical Software},
        volume={25},
        number={3},
        pages={367--374},
        year={1999},
        }

@InProceedings{rLEC99w,
  author = 	 {P. L'Ecuyer},
  title = 	 {Some Recommendable Uniform Random Number Generators},
  booktitle = 	 {Proceedings of the 1999 European Simulation
                  Multiconference},
  pages =	 {185--190},
  year =	 {1999},
  volume =       {1},
  organization = {The Society for Computer Simulation},
  address =	 {Ghent, Belgium},
  optannote = 	 {}
}

@INPROCEEDINGS {rLEC00a,
	author="P. L'Ecuyer and F. Panneton",
	title={A New Class of Linear Feedback Shift Register Generators},
	booktitle={Proceedings of the 2000 Winter Simulation Conference},
        editor = {J. A. Joines and R. R. Barton and K. Kang
                  and P. A. Fishwick},
	publisher="{IEEE} Press",
        address= {Piscataway, NJ},
	year={2000},
	pages={690--696}  }

@INPROCEEDINGS {rLEC00b,
	author="P. L'Ecuyer and R. Touzin",
	title={Fast Combined Multiple Recursive Generators with Multipliers
               of the Form $a = \pm 2^q \pm 2^r$},
	booktitle={Proceedings of the 2000 Winter Simulation Conference},
        editor = {J. A. Joines and R. R. Barton and K. Kang
                  and P. A. Fishwick},
	publisher="{IEEE} Press",
        address= {Piscataway, NJ},
	year={2000},
	pages={683--689}  }

@ARTICLE {rLEC00c,
        old = {rLEC96d},
	author="P. L'Ecuyer and J.-F. Cordeau and R. Simard",
	title="Close-Point Spatial Tests and their Application to
               Random Number Generators",
	journal={Operations Research},
        volume={48},
        number={2},
        pages={308--317},
	year={2000} }

@article {rLEC01a,
        old = {rLEC99d},
        old = {rLEC00d},
	author="P. L'Ecuyer and R. Simard",
	title="On the Performance of Birthday Spacings Tests
               for Certain Families of Random Number Generators",
	journal={Mathematics and Computers in Simulation},
        volume={55},
        number ={1--3},
        pages={131--137},
	year={2001}
	}

@INPROCEEDINGS {rLEC01d,
	author="P. L'Ecuyer",
	title={Software for Uniform Random Number Generation:
               Distinguishing the Good and the Bad},
	booktitle={Proceedings of the 2001 Winter Simulation Conference},
        OPTeditor = {},
	publisher="{IEEE} Press",
        address= {Piscataway, NJ},
	year={2001},
	pages={95--105}  }

@article {rLEC01s,
	author="P. L'Ecuyer and R. Simard and E. J. Chen and W. D. Kelton",
	title="An Object-Oriented Random-Number Package with Many
               Long Streams and Substreams",
	journal={Operations Research},
        volume={50},
        number={6},
        pages={1073--1075},
	year={2002} }

@Misc{rLEC01t,
  author = {P. L'Ecuyer and R. Simard},
  title =  {TestU01: Un logiciel pour appliquer des tests statistiques \`a
                  des g\'en\'erateurs de valeurs al\'eatoires},
  year =  {2001},
  note =  {Unpublished software user's guide},
  language =  {french},
  optannote = {}
}

@article {rLEC02a,
        old = {rLEC01s},
	author="P. L'Ecuyer and R. Simard and E. J. Chen and W. D. Kelton",
	title="An Object-Oriented Random-Number Package with Many
               Long Streams and Substreams",
	journal={Operations Research},
        volume={50},
        number={6},
        pages={1073--1075},
	year={2002} }

@incollection {rLEC02b,
  old = {rLEC01b},
  author="P. L'Ecuyer and F. Panneton",
  title={Construction of Equidistributed Generators Based on
         Linear Recurrences Modulo 2},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
  pages =	 {318--330},
  year =	 {2002},
}

@article {rLEC02c,
        old = {rLEC98s},
	author="P. L'Ecuyer and R. Simard and S. Wegenkittl",
	title="Sparse Serial Tests of Uniformity for
               Random Number Generators",
	journal={{SIAM} Journal on Scientific Computing},
        volume={24},
        number = {2},
        pages={652--668},
	year={2002} }

@INCOLLECTION {rLEC03a,
      author="P. L'Ecuyer",
      title={Random Number Generation and Quasi-{M}onte {C}arlo},
      booktitle={Encyclopedia of Actuarial Science},
      editor={J. Teugels and B. Sundt},
      publisher={John Wiley},
      address={Chichester, UK},
      year={2003},
      note = {to appear},
      xpages = {} }

@article{rLEC03b,
   new = {rLEC04a},
  author = 	 {P. L'Ecuyer and R. Touzin},
  title = 	 {On the {D}eng-{L}in Random Number Generators and
                  Related Methods},
  journal = 	 {Statistics and Computing},
  volume =  	 {14},
  pages =        {5--9},
  year =	 {2004},
}

@article {rLEC03c,
        old = {rLEC01c},
      	author="P. L'Ecuyer and J. Granger-Pich\'e",
	title="Combined Generators with Components from Different Families",
	journal={Mathematics and Computers in Simulation},
        volume={62},
        pages={395--404},
	year={2003},
}

@UNPUBLISHED {rLEC03d,
	author="P. L'Ecuyer and R. Simard",
	title="Test{U}01: A Software Library in {ANSI C}
               for Empirical Testing of Random Number Generators",
	journalx={},
        volumex={},
        pagesx={},
	year={2003},
	note={See \url{http://www.iro.umontreal.ca/~lecuyer}}  }

@article{rLEC04a,
  author = 	 {P. L'Ecuyer and R. Touzin},
  title = 	 {On the {D}eng-{L}in Random Number Generators and
                  Related Methods},
  journal = 	 {Statistics and Computing},
  volume =  	 {14},
  pages =        {5--9},
  year =	 {2004},
  optannote = 	 {}
}

@INCOLLECTION {rLEC04b,
      author="P. L'Ecuyer",
      title={Random Number Generation},
      booktitle={Handbook of Computational Statistics},
      editor={J. E. Gentle and W. Haerdle and Y. Mori},
      publisher={Springer-Verlag},
      address={Berlin},
      year={2004},
      note = {Chapter II.2},
      pages = {35--70} }

@INCOLLECTION {rLEC04d,
      author="P. L'Ecuyer",
      title={Random Number Generation and Quasi-{M}onte {C}arlo},
      booktitle={Encyclopedia of Actuarial Science},
      editor={J. L. Teugels and B. Sundt},
      publisher={Wiley},
      address={Chichester},
      year={2004},
      volume={3},
      optnote = {},
      pages = {1363--1369},
      isbn = {0-470-84676-3},
}

@InProceedings{rLEC05a,
  author =       {P. L'Ecuyer and F. Panneton},
  title =        {Fast Random Number Generators Based on Linear Recurrences
                  Modulo 2: Overview and Comparison},
  booktitle =    "Proceedings of the 2005 Winter Simulation Conference",
  publisher =    {{IEEE} Press},
  year =         {2005},
  pages =     {110--119},
}

@article{rLEC06a,
  old = {rLEC04c},
  author = 	 {P. L'Ecuyer and R. Simard},
  title = 	 {Inverting the Symmetrical Beta Distribution},
  journal = 	 {{ACM} Transactions on Mathematical Software},
  volume =  	 {32},
  number =     {4},
  pages =      {509--520},
  year =	     {2006},
}

@INCOLLECTION {rLEC06h,
      old = {rLEC04h},
      author = {P. L'Ecuyer},
      title={Uniform Random Number Generation},
      booktitle={Simulation},
      series={Handbooks in Operations Research and Management Science},
      editor={S. G. Henderson and B. L. Nelson},
      publisher={Elsevier},
      address={Amsterdam, The Netherlands},
      year={2006},
      note = {Chapter 3},
      pages = {55--81}
}

@incollection{rLEC07a,
  author =  {P. L'Ecuyer and F. Panneton},
  title =   {${{\bf F}}_2$-Linear Random Number Generators},
  booktitle={Advancing the Frontiers of Simulation: A Festschrift in Honor of George Samuel Fishman},
  editor={C. Alexopoulos and D. Goldsman and J. R. Wilson},
  publisher={Springer-Verlag},
  address={New York},
  year={2009},
  optnote = {To appear},
  pages = {169--193}
}

@article{rLEC07b,
  old = {rLEC06b},
  author = 	 {P. L'Ecuyer and R. Simard},
  title = 	 {{TestU01}: A {C} Library for Empirical Testing of Random Number Generators},
  journal = 	 {{ACM} Transactions on Mathematical Software},
  volume =  	 {33},
  number =     {4},
  pages =      {Article 22},
  month =    {August},
  year =	 {2007},
  optdoi = {http://doi.acm.org/10.1145/1268776.1268777},
  publisher = {ACM Press},
  address = {New York, NY, USA},
  optnote =    {available at
             \url{http://www.iro.umontreal.ca/~simardr/testu01/tu01.html}},
}

@INCOLLECTION {rLEC08a,
      author = {P. L'Ecuyer},
      title={Pseudorandom Number Generators},
      booktitle={Simulation Methods in Financial Engineering},
      series={Encyclopedia of Quantitative Finance},
      editor={Eckhart Platen and Peter Jaeckel},
      publisher={Wiley},
      address={Chicester, UK},
      year={2010},
      pages = {1431--1437}
}

@incollection{rLEC09a,
  old = {rLEC07a},
  author =  {P. L'Ecuyer and F. Panneton},
  title =   {${{\bf F}}_2$-Linear Random Number Generators},
  booktitle={Advancing the Frontiers of Simulation: A Festschrift in Honor of George Samuel Fishman},
  editor={C. Alexopoulos and D. Goldsman and J. R. Wilson},
  publisher={Springer-Verlag},
  address={New York},
  year={2009},
  pages = {169--193}
}

@book{rLEC09m,
   editor    =  {P. L'Ecuyer and A. B. Owen},
   title     = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2008},
   publisher = {Springer-Verlag},
   address   = {Berlin},
   year      = {2009}
}

@INCOLLECTION {rLEC10a,
      author = {P. L'Ecuyer},
      title={Pseudorandom Number Generators},
      booktitle={Simulation Methods in Financial Engineering},
      series={Encyclopedia of Quantitative Finance},
      editor={Eckhart Platen and Peter Jaeckel},
      publisher={Wiley},
      address={Chicester, UK},
      year={2010},
      pages = {1431--1437}
}

@INCOLLECTION {rLEC11a,
      author = {P. L'Ecuyer},
      title={Uniform Random Number Generators},
      booktitle={International Encyclopedia of Statistical Science},
      editor={M. Lovric},
      publisher={Springer-Verlag},
      address={Chicester, UK},
      year={2011},
      volume = {Part 21},
      pages = {1625--1630}
}

@INCOLLECTION {rLEC11b,
      author = {P. L'Ecuyer},
      title={Non-Uniform Random Variate Generation},
      booktitle={International Encyclopedia of Statistical Science},
      editor={M. Lovric},
      publisher={Springer-Verlag},
      address={Chicester, UK},
      year={2011},
      volume = {Part 14},
      pages = {991--995}
}

@INCOLLECTION {rLEC12a,
      author="P. L'Ecuyer",
      title={Random Number Generation},
      booktitle={Handbook of Computational Statistics},
      editor={J. E. Gentle and W. Haerdle and Y. Mori},
      edition = {second},
      publisher={Springer-Verlag},
      address={Berlin},
      year={2012},
      note = {to appear},
      optnote = {Chapter II.2},
      xpages = {35--70} }

@INCOLLECTION {rLEC12b,
      author = {P. L'Ecuyer},
      title={Random Number Generators},
      booktitle={Encyclopedia of Operations Research and Management Science},
      editor={M. C. Fu and S. I. Gass},
      edition = {third},
      publisher={Springer-Verlag},
      address={New York},
      year={2012},
      note = {To appear},
      xpages = {}
}

@inproceedings{rLEE94a,
	author = {H. Leeb},
	editor = {Vajter\v{s}ic, M. and Zinterhof, P.},
	title = {{\sc pLab} -- a system for testing random numbers},
	booktitle = {Proceedings of the International Workshop Parallel
                     Numerics'94, Smolenice, Sept. 19--21},
	publisher = {Slovak Academy of Sciences, Institute for Informatics},
	address = {Slovakia},
	year = {1994},
	pages = {89--99}}

@inproceedings{rLEE94b,
	author = {H. Leeb},
	editor = {Hellekalek, P. and Larcher, G. and Zinterhof, P.},
	title = {On the digit test},
	booktitle = {Proceedings of the 1st Salzburg Minisymposium on
            Pseudorandom Number Generation and Quasi-{M}onte {C}arlo Methods,
            Salzburg, Nov. 1994},
	volume = {ACPC/TR 95-4},
	series = {Technical Report Series},
	publisher = {ACPC -- Austrian Center for Parallel Computation,
                 University of Vienna, Austria},
	year = {1995},
	pages = {109--121}}

@mastersthesis{rLEE95a,
	author = {H. Leeb},
	title = {Random Numbers for Computer Simulation},
	school = {University of Salzburg},
	year = {1995} }

@unpublished {rLEE95b,
	author = {Leeb, H.},
	title = {Selected random number generators in the digit test},
        note = {Preprint, Mathematics Institute, University of Salzburg},
	year = {1995} }

@ARTICLE {rLEE97a,
	author="H. Leeb and S. Wegenkittl",
	title="Inversive and Linear Congruential Pseudorandom
               Number Generators in Empirical Tests",
	journal={ACM Transactions on Modeling and Computer Simulation},
        volume={7},
        number={2},
        pages={272--286},
	year={1997} }

@phdthesis {rLEE97b,
        author = {H. Leeb},
        title = {Stochastic Properties of Diaphony},
        year = {1997},
        school  = {Department of Mathematics, University of Salzburg},
        address = {Austria},
        month = {November},
        abstract = {}
        }

@INcollection {rLEE98c,
        old = {rLEE97c},
        author = {H. Leeb},
        title = {Weak Limits for Diaphony},
        booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
        editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                     and P. Zinterhof},
        publisher = {Springer-Verlag},
        address   = {New York, NY},
        volume    = {127},
        pages     = {330--339},
        year      = {1998},
        series    = {Lecture Notes in Statistics} }

@UNPUBLISHED {rLEE98a,
  author = {Leeb, H. and Hellekalek, P.},
  year = {1998},
  title = {Strong and Weak Laws for the Spectral Test and Related Quantities},
  note = {Submitted},
  keywords = {spectral test extension, diaphony, asymptotic distribution},
  abstract = {asymptotic distribution of diaphony and the spectral test}
  }

@ARTICLE {rLEH51a,
	author="D. H. Lehmer",
	title="Mathematical Methods in Large Scale Computing Units",
	journal={Annals Comp. Laboratory Harvard University},
        year={1951},
	volume={26},
        pages={141--146} }

@INPROCEEDINGS {rLEH51b,
	author="D. H. Lehmer",
	title=" ",
	booktitle={Second Harvard Symposium on Large Scale Automatic
              Computing Machinery},
        year={1951},
        pages={45}  }

@UNPUBLISHED {rLEM01a,
   author = {C. Lemieux and M. Cieslak and K. Luttmer},
   title = {Rand{QMC} User's Guide},
   institution = {University of Calgary},
   note = {In preparation},
   year = {2001}}

@ARTICLE {rLEV44a,
	author="H. Levene and J. Wolfowitz",
	title="The covariance matrix of runs up and down",
	journal={The Annals of mathematical statistics},
	volume={15},
	year={1944},
	pages={58--69}  }

@ARTICLE {rLEV87a,
	author="L. A. Levin",
	title="One-Way Functions and Pseudorandom Generators",
	journal={Combinarica},
	volume={7},
        number={4},
	year={1987},
	pages={357--363}  }

@article {rLEV95a,
   author    = {V. F. Lev},
   title     = {On two versions of $L^2$-discrepancy and
                geometrical interpretation of diaphony},
   journal   = {Acta Math. Hungar.},
   year      = {1995},
   volume    = {69},
   number    = {4},
   pages     = {281--300} }

@ARTICLE {rLEW69a,
	author="P. A. W. Lewis and A. S. Goodman and J. M. Miller",
	title="A Pseudo-random Number Generator for the System/360",
	journal={{IBM} System's Journal},
	volume={8},
	year={1969},
	pages={136--143},
        annote = {The 16807 multiplier}
  }

@ARTICLE {rLEW73a,
	author="T. G. Lewis and W. H. Payne",
	title="Generalized Feedback Shift Register Pseudorandom
           Number Algorithm",
	journal={Journal of the ACM},
	volume={20},
	number={3},
	year={1973},
	pages={456--468}  }

@ARTICLE {rLEY00a,
	author="J. Leydold",
	title="Automatic Sampling with the Ratio-of-Uniform Method",
	journal={ACM Transactions on Mathematical Software},
        volume={26},
        number={1},
        pages={78--98},
	year={2000} }

@inproceedings {rLEY02a,
  author={J. Leydold and E. Janka and W. H\"ormann},
  title={Variants of Transformed Density Rejection and Correlation Induction},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  pages =	 {345--356},
  year =	 {2002},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
  annote  =      {non-uniform, acceptance/rejection, hat function, squeeze},
}

@Book{rLI93a,
  author = 	 {M. Li and P. M. B. Vit\'anyi},
  title = 	 {An Introduction to {K}olmogorov Complexity and its
		  Applications},
  publisher = 	 {Springer-Verlag},
  year = 	 {1993}
}

@Book{rLI97a,
  author = 	 {M. Li and P. M. B. Vit\'anyi},
  title = 	 {An Introduction to {K}olmogorov Complexity and its
		  Applications},
  publisher = 	 {Springer-Verlag},
  edition =      {Second},
  year = 	 {1997}
}

@article{rLIA00a,
	author="J. J. Liang and K. T. Fang and F. J. Hickernell and R. Li",
	title="Testing multivariate uniformity and its applications",
	journal={Mathematics of Computation},
        volume={70},
        number ={233},
        pages={337--355},
	year={2000}
	}

@article {rLIA01a,
	author="Y. Liang and P. A. Whitlock",
	title="A new empirical test for parallel Pseudo-Random Number Generators",
	journal={Mathematics and Computers in Simulation},
        volume={55},
        number ={1--3},
        pages={149--158},
	year={2001}
	}

@ARTICLE {rLIN68a,
	author="J. H. Lindholm",
	title="An Analysis of the Pseudo-Randomness Properties of Subsequences
	       of Long $m$-Sequences",
	journal={{IEEE} Transactions on Information Theory},
	volume={IT-14},
	number={4},
	year={1968},
	pages={569--576}  }

@Article{rLOV66a,
  author = 	 {D. Loveland},
  title = 	 {A New Interpretation of the {V}on {M}ises
		   Concept of Random Sequence},
  journal = 	 {Zeitschrift f\"ur Mathematische Logik und
		  Grundlagen der Mathematik},
  year = 	 {1966},
  volume = 	 {12},
  pages = 	 {279--294}
  }

@ARTICLE {rLUB88a,
	author="M. Luby and C. Rackoff",
	title="How to Construct Pseudorandom Permutations From
           Pseudorandom Functions",
	journal={SIAM J. Computing},
	volume={17},
        number={2},
	year={1988},
	pages={373--386}  }

@BOOK {rLUB96a,
       old={rLUB93a},
	author="M. Luby",
	title={Pseudorandomness and Cryptographic Applications},
	publisher="Princeton University Press",
        address = "Princeton",
	year={1996} }

@ARTICLE {rLUS94a,
	author={M. L{\"u}scher},
	title="A Portable High-Quality Random Number Generator for
           Lattice Field Theory Simulations",
        institutionxx={Deutsches Elektronen-Synchrotron DESY, Hamburg},
	journal={Computer Physics Communications},
	volume={79},
	year={1994},
	pages={100--110}  }

@ARTICLE {rMAC65a,
	author="N. M. MacLaren and G. Marsaglia",
	title="Uniform Random Number Generators",
	journal={Journal of the ACM},
	volume={12},
	year={1965},
	pages={83--89}  }

@ARTICLE{rMAC89a,
        author = {N. M. MacLaren},
        title = {The Generation of Multiple Independent
                Sequences of Pseudorandom Numbers},
        journal = {Applied Statistics},
        volume = {38},
        pages = {351--359},
        year = {1989} }

@ARTICLE {rMAC92a,
	author="N. M. MacLaren",
	title="A Limit on the Usable Length of a Pseudorandom Sequence",
	journal={Journal of Statistical Computing and Simulation},
	volume={42},
	year={1992},
	pages={47--54}  }

@ARTICLE {rMAD72a,
   author="R. S. Maddocks and S. Matthews and C. H. Vincent and E. W. Walker",
   title="A Compact and Accurate Generator for Truly Random Binary Digits",
   journal={Journal of Physics E},
   year={1972},
   volume={5},
   number={6},
   pages={542--544}  }

@TECHREPORT {rMAH93a,
    author = "W. E. Mahoney and P. D. Coddington",
    title  = "Evaluating Parallel Random Number Generators",
    journal="Journal of Undergraduate Research in High-Performance Computing",
    volume = "3",
    year = "1993",
    editor = {E. A. Bogucz and V. E. Weinman},
    note={Available at
          \url{http://www.npac.syr.edu/REU/reu93/abs93.html#mahoney}},
    institution={Northeast Parallel Architectures Center at
            Syracuse University}
}

@InCollection{rMAI72a,
  author = 	 {D. Maisonneuve},
  title = 	 {Recherche et Utilisation des ``Bons Treillis'',
                  Programmation et R\'esultats Num\'eriques},
  booktitle = 	 {Applications of Number Theory to Numerical Analysis},
  pages =	 {121--201},
  publisher =	 {Academic Press},
  year =	 {1972},
  editor =	 {S. K. Zaremba},
  address =	 {New York, NY},
  optannote = 	 {}
}

@techreport{rMAR62a,
      author="G. Marsaglia",
      title="Improving the Polar Method for Generating a
             Pair of Random Variables",
      institution="Boeing Scientific Research Laboratory",
      year={1962},
      address={Seattle, Washington}
}

@Article{rMAR66a,
  author = 	 {P. Martin-L\"of},
  title = 	 {The Definition of Random Sequences},
  journal = 	 {Information and Control},
  year = 	 {1966},
  volume =	 {9},
  pages =	 {602--619},
}

@Article{rMAR66b,
  author = 	 {P. Martin-L\"of},
  title = 	 {On the Concept of a Random Sequence},
  journal = 	 {Theory of Probability and its Applications},
  year = 	 {1966},
  volume =	 {11},
  pages =	 {177--179},
}

@ARTICLE {rMAR68a,
	author="G. Marsaglia",
	title="Random Numbers Fall Mainly in the Planes",
	journal={Proceedings of the National Academy of
           Sciences of the United States of America},
	volume={60},
	year={1968},
	pages={25--28}  }

@Article{rMAR69a,
  author = 	 {P. Martin-L\"of},
  title = 	 {Algorithms and Randomness},
  journal = 	 {Rev. Int. Statist. Inst.},
  year = 	 {1969},
  volume =	 {37},
  pages =	 {265--272},
}

@Article{rMAR71a,
  author = 	 {P. Martin-L\"of},
  title = 	 {Complexity Oscillations in Infinite Binary Sequences},
  journal = 	 {Zeitschrift f\"ur Wahrscheinlichkeitstheorie verw. Gebiete},
  year = 	 {1971},
  volume =	 {19},
  pages =	 {225--230}
}

@INPROCEEDINGS{rMAR72a,
	author="G. Marsaglia",
	title="The structure of linear congruential sequences",
        editor = {S. K. Zaremba},
        publisher = {Academic Press},
	booktitle={Applications of Number Theory to Numerical Analysis},
	pages={249--285},
	address={London},
	year={1972} }

@TECHREPORT {rMAR73a,
     author="G. Marsaglia and K. Ananthanarayanan and N. Paul",
     title="How to use the {M}c{G}ill {R}andom {N}umber {P}ackage
           ``{SUPER-DUPER}''",
     institution="School of Computer Science, McGill University",
     address={Montreal, Canada},
     year={1973} }

@Article{rMAR75a,
  author = 	 {Per Martin-L\"of},
  title = 	 {Reply to {S}verdrup's Polemical Article
		  ``Tests Without Power''},
  journal = 	 {Scandinavian Journal of Statistics},
  year = 	 {1975},
  volume =	 {2},
  pages =	 {161--165}
}

@ARTICLE {rMAR83a,
	author="K. Marse and S. D. Roberts",
	title="Implementing a Portable {FORTRAN} Uniform (0,1) Generator",
	journal={Simulation},
	volume={41},
	number={4},
	year={1983},
	pages={135--139}  }

@INPROCEEDINGS {rMAR85a,
	author="G. Marsaglia",
	title="A Current View of Random Number Generators",
	booktitle={Computer Science and Statistics, Sixteenth
           Symposium on the Interface},
        publisher={Elsevier Science Publishers},
	year={1985},
	pages={3--10},
	address={North-Holland, Amsterdam}  }

@ARTICLE {rMAR85b,
	author="G. Marsaglia and L.-H. Tsay",
	title="Matrices and the Structure of Random Number Sequences",
	journal={Linear Algebra and its Applications},
	volume={67},
	year={1985},
	pages={147--156}  }

@ARTICLE {rMAR85c,
	author="G. Marsaglia",
	title="Note on a Proposed Test for Random Number Generators",
	journal={{IEEE} Transactions on Computers},
	volume={C-34},
        number={8},
	year={1985},
	pages={756--758}  }

@ARTICLE {rMAR90a,
	author="G. Marsaglia and B. Narasimhan and A. Zaman",
	title="A Random Number Generator for {PC}'s",
	journal={Computer Physics Communications},
	volume={60},
	year={1990},
	pages={345--349}  }

@ARTICLE {rMAR90b,
	author="G. Marsaglia and A. Zaman and W. W. Tsang",
	title="Towards a Universal Random Number Generator",
	journal={Statistics and Probability Letters},
	volume={8},
	year={1990},
	pages={35--39}  }

@ARTICLE {rMAR91a,
	author="G. Marsaglia and A. Zaman",
	title="A New Class of Random Number Generators",
	journal={The Annals of Applied Probability},
	volume={1},
	year={1991},
	pages={462--480}  }

@ARTICLE {rMAR93a,
	author="G. Marsaglia",
	title="Remarks on Choosing and Implementing Random Number Generators",
	journal={Communications of the ACM},
	volume={36},
        number={7},
	year={1993},
	pages={105--110}  }

@ARTICLE {rMAR93b,
	author="G. Marsaglia and A. Zaman",
	title="Monkey Tests for Random Number Generators",
	journal={Computers Math. Applic.},
	volume={26},
        number={9},
	year={1993},
	pages={1--10}  }

@TECHREPORT {rMAR93c,
     author="G. Marsaglia and A. Zaman",
     title="The {KISS} Generator",
     institution="Department of Statistics, University of Florida",
     xnumber={},
     xdate={FEB-28},
     year={1993} }

@UNPUBLISHED {rMAR94a,
	author="G. Marsaglia",
	title="Yet Another RNG",
	year={1994},
	note={Posted to the electronic billboard {\tt sci.stat.math},
              August~1}  }

@ARTICLE {rMAR94b,
	author="G. Marsaglia and A. Zaman and J. C. W. Marsaglia",
	title="Rapid Evaluation of the Inverse Normal Distribution
               Function",
	journal={Statistics and Probability Letters},
	volume={19},
	year={1994},
	pages={259--266}  }

@UNPUBLISHED {rMAR96a,
	author="G. Marsaglia",
	title="The {M}arsaglia Random Number {CDROM} including the
               {DIEHARD} Battery of Tests of Randomness",
	year={1996},
	note={See \url{http://www.stat.fsu.edu/pub/diehard}} }

@UNPUBLISHED {rMAR96b,
	author="G. Marsaglia",
	title="{DIEHARD:} A Battery of Tests of Randomness",
	year={1996},
	note={See \url{http://www.stat.fsu.edu/pub/diehard}} }

@UNPUBLISHED {rMAR97a,
	author="G. Marsaglia",
	title="A Random Number Generator for {C}",
	year={1997},
        month={September 30},
	note={Posted to the electronic billboard \url{sci.math.num-analysis}}
}

@ARTICLE {rMAR98a,
	author="G. Marsaglia and W. W. Tsang",
	title="The {M}onty {P}ython Method for Generating Random Variables",
	journal={{ACM} Transactions on Mathematical Software},
	volume={24},
	year={1998},
	pages={341--350}  }

@UNPUBLISHED {rMAR99a,
	author="G. Marsaglia",
	title="Random Numbers for {C}: The {END}?",
	year={1999},
        month={January 20},
	note={Posted to the electronic billboard
              \url{sci.crypt.random-numbers}}
}

@UNPUBLISHED {rMAR02a,
        author="G. Marsaglia",
        title="Good 64-bit {RNG}'s",
        year={2002},
        month={August 25},
        note={Posted to the electronic billboard
              \url{sci.crypt.random-numbers}}
}

@ARTICLE {rMAR02b,
	author="G. Marsaglia and W. W. Tsang",
	title="Some Difficult-to-pass Tests of Randomness",
	journal={Journal of Statistical Software},
	volume={7},
  number={3},
  xnote={See \url{http://www.jstatsoft.org/v07/i03/tuftests.pdf}},
	year={2002},
	pages={1--9}  }

@ARTICLE {rMAR03a,
	author="G. Marsaglia",
	title="Xorshift {RNG}s",
	journal={Journal of Statistical Software},
	volume={8},
  number={14},
  xnote={See \url{http://www.jstatsoft.org/v08/i14/xorshift.pdf}},
	year={2003},
	pages={1--6}  }

@ARTICLE {rMAR09a,
	author="A. H. Marshall and M. Zenga",
	title="Simulating {C}oxian Phase-Type Distributions for Patient Survival",
	journal={International Transactions in Operations Research},
	volume={16},
  number={2},
	year={2009},
	pages={213--226}  }

@INCOLLECTION {rMAS95a,
	author="M. Mascagni and M. L. Robinson and D. V. Pryor and
                S. A. Cuccaro",
	title="Parallel Pseudorandom Number Generation Using Additive
               Lagged-{F}ibonacci Recursions",
	booktitle={{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
               Scientific Computing},
        publisher={Springer-Verlag},
        editor={H. Niederreiter and P. J.-S. Shiue},
        series={Lecture Notes in Statistics},
        volume={106},
	year={1995},
	pages={263--277}  }

@Article {rMAS95b,
  author="M. Mascagni and S. A. Cuccaro and and D. V. Pryor and
          M. L. Robinson",
  title= "A Fast, High Quality, and Reproducible Parallel
          Lagged-{F}ibonacci Pseudorandom Number Generator",
  journal = 	 {Journal of Computational Physics},
  year = 	 {1995},
  volume =	 {119},
  optnumber = 	 {},
  pages =	 {211--219},
  optannote = 	 {}
}

@techreport {rMAS96a,
   author    = {N. Masuda and F. Zimmerman},
   title     = {{PRNG}lib: A Parallel Random
                Number Generator Library},
   institution = {Swiss Center for Scientific Computing},
   year      = {1996},
   type      = {Technical Report},
   volume    = {TR-96-08},
   pages     = {1--48} }

@Article{rMAS98a,
  author = 	 {M. Mascagni},
  title = 	 {Parallel Linear Congruential Generators with Prime Moduli},
  journal = 	 {Parallel Computing},
  year = 	 {1998},
  volume =	 {24},
  optnumber = 	 {},
  pages =	 {923--936},
  optannote = 	 {}
}

@Article{rMAS00a,
  author = 	 {M. Mascagni and A. Srinivasan},
  title = 	 {Algorithm 806: {SPRNG}: A Scalable Library for
                  Pseudorandom Number Generation},
  journal = 	 {{ACM} Transactions on Mathematical Software},
  year = 	 {2000},
  volume =	 {26},
  optnumber = 	 {},
  pages =	 {436--461},
  optannote = 	 {}
}

@INPROCEEDINGS {rMAS01a,
        author = "M. Mascagni and S. Rahimi",
        title = "Parallel Inversive Congruential Generators:
           Software and Field-Programmable Gate Array Implementation",
        booktitle = {{M}onte {C}arlo Simulation},
        editors = {G. I. Schu\"eller and P. D. Spanos},
        xbooktitle={Proceedings of the International Conference
                    {M}onte {C}arlo 2000},
        publisher = {A. A. Balkema},
        address = {Rotterdam},
        year = {2001},
        pages = {35--39}  }

@ARTICLE {rMAT73a,
    author       = {G. Matheron},
    title        = {The Intrinsic Random Functions and their Applications},
    year         = {1973},
    journal      = {Adv. Appl. Prob.},
    volume            = {5},
    pages             = {439--468}    }

@TECHREPORT {rMAT88a,
        xxbecame = {rMAT96a},
	author="M. Matsumoto and Y. Kurita",
	title="The Fixed Point of an $m$-sequence and Local Non-Randomness",
	number={88-027},
	institution={Department of Information Science, University of Tokyo},
	year={1988}  }

@UNPUBLISHED {rMAT91a,
        xxbecame = {rMAT98b},
	author="M. Matsumoto",
	title="Cellular Automata as $m$-Sequence Generators",
	year={1991},
	note={Manuscript}  }

@ARTICLE {rMAT92a,
	author="M. Matsumoto and Y. Kurita",
	title="Twisted {GFSR} Generators",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={2},
	number={3},
	year={1992},
	pages={179--194}  }

@INPROCEEDINGS {rMAT93a,
    author       = {Y. Matias and J. S. Vitter and W.-C. Ni},
    title        = {Dynamic Generation of Discrete Random Variates},
    booktitle    = {Proceedings Fourth Annual {ACM-SIAM} Symposium on
                    Discrete Algorithms},
    year         = {1993},
    pages        = {361--370} }

@INPROCEEDINGS {rMAT93b,
        author="Y. Matias and J. S. Vitter and W.-C. Ni",
        title="Dynamic Generation of Discrete Random Variates",
        booktitle={Proceedings of the Fourth {ACM-SIAM} Symposium on Discrete
                   Algorithms},
        xpublisher={xxx},
        xeditor={xxx},
        year={1993},
        pages={361--370} }

@ARTICLE {rMAT94a,
	author="M. Matsumoto and Y. Kurita",
	title="Twisted {GFSR} Generators {II}",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={4},
	number={3},
	year={1994},
	pages={254--266}  }

@INPROCEEDINGS {rMAT94b,
    author       = {M. Matsui},
    title        = {Linear Cryptanalysis Method for {DES} Cypher},
    booktitle    = {Advances in Cryptology: Proceedings of Eurocrypt 1993},
    year         = {1994},
    series       = {Lecture Notes in Computer Science},
    volume       = {765},
    pages        = {386--397} }

@ARTICLE {rMAT96a,
	author="M. Matsumoto and Y. Kurita",
	title="Strong Deviations from Randomness in $m$-Sequences
               Based on Trinomials",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={6},
	number={2},
	year={1996},
	pages={99--106}  }

@article {rMAT98a,
	author="M. Matsumoto and T. Nishimura",
	title="Mersenne Twister: A 623-Dimensionally Equidistributed
               Uniform Pseudo-Random Number Generator",
	journal={ACM Transactions on Modeling and Computer Simulation},
        volume={8},
	number={1},
	year={1998},
	pages={3--30}  }

@article {rMAT98b,
	author="M. Matsumoto",
	title="Simple Cellular Automata as Pseudo-Random $m$-sequence
               Generators for Built-In Self Test",
	journal={ACM Transactions on Modeling and Computer Simulation},
        volume={8},
	number={1},
	year={1998},
	pages={31--42}  }

@ARTICLE{rMAT98c,
   author = {J. Matous\v{e}k},
   title = {On the {$L_2$}-discrepancy for Anchored Boxes},
   journal = {Journal of Complexity},
   volume = {14},
   pages = {527--556},
   year = {1998}}

@InProceedings{rMAT00a,
  author =       {M. Matsumoto and T. Nishimura},
  title =        {Dynamic {C}reation of {P}seudorandom {N}umber {G}enerators},
  booktitle =    {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1998},
  pages =        {56--69},
  year =         {2000},
  editor =       {H. Niederreiter and J. Spanier},
  address =      {Berlin},
  publisher =    {Springer},
  optannote =    {}
}


@inproceedings {rMAT02a,
  author="M. Matsumoto and T. Nishimura",
  title={A Nonempirical Test on the Weight of Pseudorandom Number Generators},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  pages =	 {381--395},
  year =	 {2002},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@article {rMAT03a,
	author="M. Matsumoto and T. Nishimura",
	title="Sum-Discrepancy Test on Pseudorandom Number Generators",
	journal={Mathematics and Computers in Simulation},
  volume={62},
	xnumber={},
	year={2003},
	pages={431--442}  }

@article {rMAT07a,
	author="M. Matsumoto and I. Wada and A. Kuramoto and H. Ashihara",
	title="Common Defects in Initialization of Pseudorandom Number Generators",
	journal={ACM Transactions on Modeling and Computer Simulation},
  volume={17},
	number={4},
	year={2007},
	pages={Article 15}  }

@ARTICLE {rMAU92a,
	author="U. M. Maurer",
	title="A Universal Statistical Test for Random Bit Generators",
	journal={Journal of Cryptology},
	volume={5},
	number={2},
	year={1992},
	pages={89--105}  }

@InProceedings{rMAU02a,
  author = 	 {U. M. Maurer},
  title = 	 {Indistinguishability of Random Systems},
  booktitle =	 {Advances in Cryptology: Eurocrypt 2002},
  pages =	 {110--132},
  year =	 {2002},
  editor =	 {G. Goos and J. Hartmanis and J. van Leeuwen},
  number =	 {2332},
  series =	 {Lecture Notes in Computer Science},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
  biblio-um =    {QA76.9 A25 E87},
  optannote = 	 {}
}

@ARTICLE {rMCI89a,
	author="D. McIntosh",
	title="Random Atari: Enhancing the Number Generator",
	journal={{ANTIC}},
	volume={7},
	number={11},
	year={1989},
	pages={12}  }

@INPROCEEDINGS {rMCI91a,
	author="J. L. McInnes and B. Pinkas",
	title="On the Impossibility of Private Key Cryptography with
	       Weakly Random keys",
	booktitle={Advances in Cryptology: {CRYPTO'90}},
	series = {Lecture Notes in Computer Science},
	number = {537},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
  pages = {421--435},
	year={1991} }

@Unpublished{rMER03a,
  author = 	 {S. Mertens and H. Bauke},
  title = 	 {Entropy of Pseudorandom Number Generators},
  note = 	 {Manuscript},
  institution =  {Institut f\"ur Theoretische Physik,
                  Otto-von-Guericke Universit\"at, Germany},
  optkey = 	 {},
  optmonth = 	 {},
  year =	 {2003},
  optannote = 	 {},
}

@article{rMIC76a,
	author = {J. R. Michael and W. R. Schuchany and R. W. Haas},
	title = {Generating Random Variates Using Transformations with Multiple Roots},
	journal = {The American Statistician},
	volume = {30},
	pages = {88--90},
	year = {1976} }

@INPROCEEDINGS {rMIC88a,
	author="S. Micali and C. P. Schnorr",
	title="Super-Efficient Perfect Random Number Generators",
	year={1988},
	series={Lecture Notes in Computer Science},
	booktitle={Advances in Cryptology: Proceedings of CRYPTO'88},
	publisher="Springer-Verlag, Berlin",
	volume={403},
	pages={??--??}  }

@ARTICLE {rMIC91a,
	author="S. Micali and C. P. Schnorr",
	title="Efficient, Perfect Polynomial Random Number Generators",
	journal={Journal of Cryptology},
	year={1991},
	volume={4},
	number={3},
	pages={157--172}  }

@ARTICLE {rMOD84a,
	author="D. T. Modianos and R. C. Scott and L. W. Corwell",
	title="Random Number Generation on Microcomputers",
	journal={Iterfaces},
	volume={14},
	number={2},
	year={1984},
	pages={81--87}  }

@ARTICLE {rMOD87a,
	author="D. T. Modianos and R. C. Scott and L. W. Cornwell",
	title="Testing Intrinsic Random Number Generators",
	journal={Byte},
	volume={12},
	number={1},
	year={1987},
	pages={175--178}  }

@BOOK {rMOL04a,
	author="C. Moler",
	title={Numerical Computing with {MATLAB}},
	publisher="SIAM",
	address={Philadelphia, PA},
	year={2004}  }

@ARTICLE {rMON85a,
	author="J. F. Monahan",
	title="Accuracy in Random Number Generation",
	journal={Mathematics of Computation},
	volume={45},
	number={172},
	year={1985},
	pages={559--568}  }

@UNPUBLISHED {rMOR96a,
	author="T. Moreau",
	title="A Practical ``Perfect'' Pseudo-Random Number Generator",
	note={Manuscript},
	address={Connotech Experts-Conseils, Montr{\'}eal},
	year={1996}  }

@TECHREPORT {rMOR98a,
	author="H. Morohosi and M. Fushimi",
	year={1998},
	title="Designing Asymptotically Random {GFSR} Sequences",
	institution={The University of Tokyo},
        address={Dept.\ of Math.\ Engineering and Information Physics},
        number={METR 98-11} }

@ARTICLE {rMUL68a,
	author="M. E. Muller",
	title="Random Numbers",
	journal={Inter. Enc. Social Science},
	volume={13},
	year={1968},
	pages={307--313}  }

@ARTICLE {rMUL87a,
	author="G.L Mullen and H. Niederreiter",
	title="Optimal Characteristic Polynomials for
            Digital Multistep Pseudorandom Numbers",
	journal={Computing},
	volume={39},
	year={1987},
	pages={155--163}  }

@INCOLLECTION {rMUL95a,
   author = {Mullen, Gary L. and Mahalanabis, Arijit and Niederreiter,
             Harald},
    title = {Tables of $(t,m,s)$-net and $(t,s)$-sequence parameters},
booktitle = {{M}onte {C}arlo and quasi-{M}onte {C}arlo methods in scientific
             computing (Las Vegas, NV, 1994)},
    pages = {58--86},
   series = {Lecture Notes in Statistics},
   volume = {106},
publisher = {Springer},
  address = {New York, NY},
     year = {1995},
}

@ARTICLE {rMUR08a,
   author = "T. E. Murphy and  R. Roy",
   title  = "Chaotic Lasers: The World's Fastest Dice",
   journal = {Nature Photonics},
   volume = {2},
   year   = {2008},
   pages  = {714--715}  }

@ARTICLE {rMUR70a,
	author="H. F. Murry",
	title="A Natural Approach for Generating Natural Random Variables",
	journal={{IEEE} Transactions on Computers},
	volume={C-19},
	year={1970},
	pages={1210--1213}  }

@manual{rNAG02a,
  author = {NAG},
  title =  {The {NAG C} Library Manual, Mark 7},
  note =  {\url{http://www.nag.co.uk/numeric/cl/manual/pdf/G05/g05cac.pdf} and
  \url{http://www.nag.co.uk/numeric/fl/manual/pdf/G05/g05kaf.pdf}},
  organization = {The Numerical Algorithms Group},
  year =  {2002}
}

@ARTICLE {rNAN78a,
	author="R. E. Nance and Overstreet, Jr, C.",
	title="Some Experimental Observations on the Behavior of
           Composite Random Number Generators",
	journal={Operations Research},
	volume={26},
	number={5},
	year={1978},
	pages={915--935}  }

@incollection {rNAN12a,
   author = {Nandapalan, Nimalan and Brent, Richard and Murray, Lawrence and Rendell, Alistair},
   optaffiliation = {Research School of Computer Science, The Australian National University, Australia},
   title = {High-Performance Pseudo-Random Number Generation on Graphics Processing Units},
   booktitle = {Parallel Processing and Applied Mathematics},
   series = {Lecture Notes in Computer Science},
   editor = {Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Wasniewski, Jerzy},
   publisher = {Springer Berlin / Heidelberg},
   isbn = {978-3-642-31463-6},
   keyword = {Computer Science},
   pages = {609--618},
   volume = {7203},
   url = {http://dx.doi.org/10.1007/978-3-642-31464-3_62},
   doi = {10.1007/978-3-642-31464-3_62},
   year = {2012}
}

@InCollection{rNEU51a,
  author =       {J. {von Neumann}},
  title =        {Various techniques used in connection with random digits},
  booktitle =    {The {M}onte {C}arlo Method},
  editor =       {A. S. Householder et al.},
  publisher =    {National Bureau of Standards, Applied Mathematics Series},
  volume =       12,
  year =         1951,
  pages =        {36--38},
}

@ARTICLE {rNEU76a,
	author="F. Neuman and R. B. Merrick",
	title="Autocorrelation Peaks in Congruential Pseudorandom
               Number Generators",
	journal={{IEEE} Transactions of Computers},
	volume={C-25},
	year={1976},
	pages={457--460}  }

@ARTICLE {rNEU76b,
	author="F. Neuman and C. F. Martin",
	title="The Autocorrelation Structure of Tausworthe Pseudorandom
               Number Generators",
	journal={{IEEE} Transactions of Computers},
	volume={C-25},
	year={1976},
	pages={460--464}  }

@manual{rNEW89a,
  author = {Newbridge Microsystems},
  title =  {{CALMOS NM810RNG} Random Number Generator},
  note =  {Document 600810.MD500.01},
  organization = {Newbridge Microsystems},
  address = {603 March Road, Kanata, Canada},
  month = {November},
  year =  {1989}
}

@ARTICLE {rNIE78a,
	author="H. Niederreiter",
	title="Quasi-{M}onte {C}arlo Methods and Pseudorandom Numbers",
	journal={Bulletin of the American Mathematical Society},
	volume={84},
	number={6},
	year={1978},
	pages={957--1041}  }

@ARTICLE {rNIE85a,
	author="H. Niederreiter",
	title="The Serial Test for Pseudorandom Numbers Generated
               by the Linear Congruential Method",
	journal={Numerische Mathematik},
	volume={46},
	year={1985},
	pages={51--68}  }

@ARTICLE {rNIE86a,
	author="H. Niederreiter",
	title="A Pseudorandom Vector Generator Based on
            Finite Field Arithmetic",
	journal={Mathematica Japonica},
	volume={31},
	year={1986},
	pages={759--774}  }

@ARTICLE {rNIE86b,
	author="H. Niederreiter",
	title="Multidimensional Numerical Integration Using
            Pseudorandom Numbers",
	journal={Mathematical Programming Study},
	volume={27},
	year={1986},
	pages={17--38}  }

@ARTICLE {rNIE86c,
  author   = "H. Niederreiter",
  title    = "Low Discrepancy Point Sets",
  journal  = "Monatshefte f{\"u}r Mathematik",
  volume   = "102",
  pages    = "155--167",
  Year     = "1986"}

@ARTICLE {rNIE87a,
	author="H. Niederreiter",
	title="A Statistical Analysis of Generalized Feedback
	  Shift Register Pseudorandom Number Generators",
        journal={SIAM Journal on Scientific and Statistical Computing},
	volume={8},
        number={6},
	year={1987},
	pages={1035--1051}  }

@ARTICLE {rNIE87b,
  author   = "H. Niederreiter",
  title    = "Point Sets and Sequences with Small Discrepancy",
  journal  = "Monatshefte f{\"u}r Mathematik",
  volume   = "104",
  pages    = "273--337",
  Year     = "1987"}

@ARTICLE {rNIE88a,
	author="H. Niederreiter",
	title="Remarks on Nonlinear Congruential Pseudorandom Numbers",
	journal={Metrika},
	volume={35},
	year={1988},
	pages={321--328}  }

@ARTICLE {rNIE88b,
	author="H. Niederreiter",
	title="Statistical Independence of Nonlinear Congruential
	  Pseudorandom Numbers",
	journal={Monatshefte f{\"u}r Mathematik},
	volume={106},
	year={1988},
	pages={149--159}  }

@ARTICLE {rNIE88c,
	author="H. Niederreiter",
	title="The Serial Test for Digital $k$-Step Pseudorandom Numbers",
	journal={Mathematical Journal of Okayama University},
	volume={30},
	year={1988},
	pages={93--119}  }

@ARTICLE {rNIE88d,
	author="H. Niederreiter",
	title="Low-Discrepancy and Low-Dispersion Sequences",
	journal={Journal of Number Theory},
	volume={30},
	year={1988},
	pages={51--70}  }

@ARTICLE {rNIE89a,
	author="H. Niederreiter",
	title="The Serial Test for Congruential Pseudorandom Numbers
	  Generated by Inversions",
	journal={Mathematics of Computation},
	volume={52},
	number={185},
	year={1989},
	pages={135--144}  }

@ARTICLE {rNIE90b,
	author="H. Niederreiter",
	title="Lower Bounds for the Discrepancy of Inversive
	   Congruential Pseudorandom Numbers",
	journal={Mathematics of Computation},
	volume={55},
	year={1990},
	pages={277--287}  }

@ARTICLE {rNIE90c,
	author="H. Niederreiter",
	title="Statistical Independance Properties of Pseudorandom
	  Vectors Produced by Matrix Generators",
	journal={Journal of Computational and Applied Mathematics},
	year={1990},
	volume={31},
	pages={139--151}  }

@ARTICLE {rNIE91a,
	author="H. Niederreiter",
	title="Recent Trends in Random Number and Random Vector Generation",
	journal={Annals of Operations Research},
	volume={31},
	year={1991},
	pages={323--345}  }

@INPROCEEDINGS {rNIE91b,
	author="H. Niederreiter",
	title="The Linear Complexity Profile and the Jump Complexity of
	       Keystream Sequences",
	booktitle={Advances in Cryptology: Proceedings of {EUROCRYPT'90}},
	publisher="Springer-Verlag",
	address={Berlin},
	year={1991},
	pages={174--188}  }

@INPROCEEDINGS {rNIE92a,
	author="H. Niederreiter",
	title="New Methods for Pseudorandom Number and Pseudorandom Vector
	       Generation",
	booktitle={Proceedings of the 1992 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1992},
	pages={264--269}  }

@BOOK {rNIE92b,
	author="H. Niederreiter",
	title={Random Number Generation and Quasi-{M}onte {C}arlo Methods},
	series={SIAM CBMS-NSF Regional Conference Series in Applied
	       Mathematics},
	volume={63},
	publisher="SIAM",
	address={Philadelphia, PA},
	year={1992}  }

@ARTICLE{rNIE92c,
   author = {H. Niederreiter},
   title = {Low-discrepancy point sets obtained by digital constructions
    over finite fields},
   journal = {Czechoslovak Math.\ Journal},
   volume = {42},
   pages = {143--166},
   year = {1992}}

@ARTICLE {rNIE93a,
	author="H. Niederreiter",
	title="On a New Class of Pseudorandom Numbers for Simulation Methods",
	journal={Journal of Computational and Applied Mathematics},
	year={1994},
        volume={56},
        pages={159--167}  }

@ARTICLE {rNIE93b,
	author="H. Niederreiter",
	title="Factorization of polynomials and some linear-algebra
              problems over finite fields",
	journal={Linear Algebra and its Applications},
	year={1993},
	volume={192},
	pages={301--328}  }

@ARTICLE {rNIE94a,
	author="H. Niederreiter",
	title="Pseudorandom Vector Generation by the Inversive Method",
        journal={ACM Transactions on Modeling and Computer Simulation},
	year={1994},
        volume={4},
        number={2},
        pages={191--212}  }

@ARTICLE {rNIE94b,
	author="H. Niederreiter",
	title="On a New Class of Pseudorandom Numbers for Simulation Methods",
	journal={Journal of Computational and Applied Mathematics},
	year={1994},
        volume={56},
        pages={159--167}  }

@INCOLLECTION {rNIE95a,
	author="H. Niederreiter",
	title="New Developments in Uniform Pseudorandom Number
               and Vector Generation",
	booktitle={{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
               Scientific Computing},
        publisher={Springer-Verlag},
        address = {New York, NY},
        editor={H. Niederreiter and P. J.-S. Shiue},
        series={Lecture Notes in Statistics},
        volume={106},
	year={1995},
	pages={87--120}  }

@ARTICLE {rNIE95b,
	author="H. Niederreiter",
	title="The Multiple-Recursive Matrix Method for Pseudorandom
               Number Generation",
        journal={Finite Fields and their Applications},
	year={1995},
        volume={1},
        pages={3--30}  }

@ARTICLE {rNIE95c,
	author="H. Niederreiter",
	title="Pseudorandom Vector Generation by the
             Multiple-Recursive Matrix Method",
        journal={Mathematics of Computation},
	year={1995},
        volume={64},
        number={209},
        pages={279--294}  }

@book {rNIE95m,
  author = {H. Niederreiter and P. J.-S. Shiue},
	title={{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
               Scientific Computing},
  publisher={Springer-Verlag},
  address = {New York, NY},
  series={Lecture Notes in Statistics},
  volume={106},
	year={1995},
  }

@ARTICLE {rNIE96a,
    author = {H. Niederreiter and C. Xing},
    title  = {Low-Discrepancy Sequences and Global Function
              Fields with Many Rational Places},
    year   = {1996},
    journal= {Finite Fields and Their Applications},
    volume = {2},
    pages  = {241--273} }

@ARTICLE {rNIE96b,
	author="H. Niederreiter",
	title="Improved Bounds in the Multiple-Recursive Matrix Method
               for Pseudorandom Number and Vector Generation",
        journal={Finite Fields and their Applications},
	year={1996},
        volume={2},
        pages={225--240}  }

@incollection {rNIE96c,
   author = {Niederreiter, H. and Xing, C.},
    title = {Quasirandom points and global function fields},
booktitle = {Finite fields and applications (Glasgow, 1995)},
    pages = {269--296},
   series = {London Math. Soc. Lecture Note Ser.},
   volume = {233},
publisher = {Cambridge Univ. Press},
  address = {Cambridge},
     year = {1996},
}

@INPROCEEDINGS {rNIE97a,
        author = {H. Niederreiter and C. Xing },
        title = {The Algebraic-Geometry Approach to Low-Discrepancy
                 Sequences},
        booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
        editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                     and P. Zinterhof},
        publisher = {Springer-Verlag},
        address   = {New York, NY},
        volume    = {127},
        pages     = {139--160},
        year      = {1998},
        series    = {Lecture Notes in Statistics} }

@incollection {rNIE98a,
   author    ="H. Niederreiter and C. Xing",
   title     ="Nets, $(t,s)$-Sequences, and Algebraic Geometry",
   booktitle = {Random and Quasi-Random Point Sets},
   editor    = {P. Hellekalek and G. Larcher},
   publisher = {Springer},
   address   = {New York, NY},
   volume    = {138},
   pages     = {267--302},
   year      = {1998},
   isbn      = {isbn is 0-387-98554-9},
   series    = {Lecture Notes in Statistics} }

@incollection {rNIE98ax,
   author    ="H. Niederreiter and C. Xing",
   title     ="Nets, $(t,s)$-Sequences, and Algebraic Geometry",
   crossref  = {rHEL98s},
   pages     = {267--302},
  }

@book {rNIE00a,
   old =       {rNIE99a},
   editor    = {H. Niederreiter and J. Spanier},
   title     = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1998},
   publisher = {Springer-Verlag},
   address   = {Berlin},
   year      = {2000}
  }

@INPROCEEDINGS {rNIE01a,
        author = "H. Niederreiter",
        title = "Design and Analysis of Nonlinear Pseudorandom
                Number Generators",
        booktitle = {{M}onte {C}arlo Simulation},
        editors = {G. I. Schu\"eller and P. D. Spanos},
        xbooktitle={Proceedings of the International Conference
                    {M}onte {C}arlo 2000},
        publisher = {A. A. Balkema},
        address = {Rotterdam},
        year = {2001},
        pages = {3--9}  }

@Article{rNIE01b,
  author = 	 {H. Niederreiter},
  title = 	 {On the Distribution of Compound Inversive Congruential
                  Pseudorandom Numbers},
  journal = 	 {Monatshefte f\"ur Mathematik},
  year = 	 {2001},
  volume =	 {132},
  optnumber = 	 {},
  pages =	 {35--48},
  optannote = 	 {}
}

@article{rNIE01c,
   author = {H. Niederreiter and G. Pirsic},
   title = {Duality for Digital Nets and its Applications},
   journal = {Acta Arithmetica},
   volume = {97},
   pages = {173--182},
   year = {2001}}

@article{rNIE01d,
   author = {H. Niederreiter and A. Winterhof},
   title = {On a New Class of Inversive Pseudorandom Numbers for
            Parallelized Simulation Methods},
   journal = {Periodica Mathematica Hungarica},
   volume = {42},
   number = {1--2},
   pages = {77--87},
   year = {2001}}

@inproceedings {rNIE02a,
  author = "H. Niederreiter and I. E. Shparlinski",
  title = {Recent Advances in the Theory of Nonlinear Pseudorandom
           Number Generators},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  pages =	 {86--102},
  year =	 {2002},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@article{rNIE03a,
  author = 	 {H. Niederreiter},
  title = 	 {The Existence of Good Extensible Polynomial Lattice Rules},
  journal =	 {Monatshefte f\"ur Mathematik},
  year = 	 {2003},
  volume =	 {139},
  pages =	 {297--307},
  optannote = 	 {}
}

@incollection{rNIE04a,
  author = 	 {H. Niederreiter},
  title = 	 {Digital Nets and Coding Theory},
  booktitle = {Coding, Cryptography and Combinatorics},
  editor = {K. Q. Feng and H. Niederreiter and C. P. Xing},
  series = {Progress in Computer Science and Applied Logic},
  volume = {23},
  publisher = {Birkh\"auser},
  address = {Basel},
  year = 	 {2004},
  pages =	 {247--257},
  optannote = {cyclic nets}
}


@book {rNIE04m,
   editor    = {H. Niederreiter},
   title     = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2002},
   publisher = {Springer-Verlag},
   address   = {Berlin},
   year      = {2004}
  }

@article{rNIE05a,
  author = 	 {H. Niederreiter},
  title = 	 {Constructions of $(t,m,s)$-Nets and $(t,s)$-Sequences},
  journal =	 {Finite Fields and Their Applications},
  year = 	 {2005},
  volume =	 {11},
  pages =	 {578--600},
  optannote = 	 {}
}

@book {rNIE06m,
   editor    = {H. Niederreiter and D. Talay},
   title     = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
   publisher = {Springer-Verlag},
   address   = {Berlin},
   year      = {2006}
  }

@Book{rNIS92a,
  author = 	 "N. Nisan",
  title = 	 "Using Hard Problems to Create Pseudorandom Generators",
  publisher = 	 "The {MIT} Press",
  year = 	 "1992",
  optkey = 	 "complexity, cryptology",
  series = 	 "{ACM} Distinguished Dissertations",
  address = 	 "Cambridge, MA"
}

@InProceedings{rNIS96a,
  author = 	 {N. Nisan},
  title = 	 {Extracting Randomness: How and Why, A Survey},
  booktitle = 	 {11th Annual {IEEE} Conference on Computational Complexity},
  editor =	 {S. Homer and J.-Y. Cai},
  year =	 {1996},
  publisher =	 {{IEEE} Compter Society Press},
  address =	 {Los Alamitos, CA},
  pages =	 {44--58}
}

@Article {rNIS00a,
  author = 	 {T. Nishimura},
  title = 	 {Tables of 64-bit {M}ersenne Twisters},
  journal = 	 {{ACM} Transactions on Modeling and Computer Simulation},
  year = 	 {2000},
  volume =	 {10},
  number =	 {4},
  pages =	 {348--357},
  optannote = 	 {}
}

@techreport {rNIS00b,
   key = {NIST},
   author = {NIST},
   title  = {Digital Signature Standards ({DSS})},
   institution = {U.S. DoC/National Institute of Standards and Technology},
   year      = {2000},
   type      = {{FIPS}-186-2},
   note      = {See \url{http://csrc.nist.gov/csrc/fedstandards.html}}
   }

@techreport {rNIS01a,
   key = {NIST},
   author = {NIST},
   title  = {ADVANCED ENCRYPTION STANDARD ({AES})},
   institution = {U.S. DoC/National Institute of Standards and Technology},
   year      = {2001},
   type      = {{FIPS}-197},
   note      = {See \url{http://csrc.nist.gov/CryptoToolkit/tkencryption.html}} }

@techreport {rNIS02a,
   key = {NIST},
   author = {{NIST}},
   title  = {SECURE HASH STANDARD ({SHS})},
   institution = {U.S. DoC/National Institute of Standards and Technology},
   year      = {2002},
   type      = {{FIPS}-186-2, with change notice added in February 2004},
   note      = {See \url{http://csrc.nist.gov/CryptoToolkit/tkhash.html}},
   pages    = {1--79}   }

@inproceedings{rNUY06a,
  author =       {D. Nuyens and R. Cools},
  title =        {Fast Component-by-Component Construction, a Reprise
                  for Different Kernels},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
  pages =	 {373--387},
  year =       {2006},
  editor =	 {H. Niederreiter and D. Talay},
  optaddress =	 {Berlin},
  optpublisher =  {Springer-Verlag},
}

@article{rNUY06b,
  author =  {D. Nuyens and R. Cools},
  title =   {Fast algorithms for component-by-component construction of rank-1
             lattice rules in shift-invariant reproducing kernel {H}ilbert spaces},
  journal = {Mathematics of Computation},
  pages = {903--920},
  volume = {75},
  year = {2006}
}

@article{rNUY06c,
  author =       {D. Nuyens and R. Cools},
  title =        {Fast component-by-component construction of rank-1 lattice
                  rules with a non-prime number of points},
  journal = 	 {Journal of Complexity},
  pages =	 {4--28},
  volume = {22},
  year =       {2006},
}

@manual{rNVI12a,
  key = {NVIDIA corp},
  title =  {{CURAND} guide},
  ORGANIZATION = {NVIDIA corp},
  note =  "See \url{
  http://developer.download.nvidia.com/compute/DevZone/docs/
  html/CUDALibraries/doc/CURAND_Library.pdf}"
}

@article{rOKT09a,
  author =       {G. \"Okten},
  title =        {Generalized {von Neumann-Kakutani} Transformation and Random-Start
                  Scrambled {H}alton Sequences},
  journal = 	 {Journal of Complexity},
  pages =	 {318--331},
  volume = {25},
  number = {4},
  year =       {2009},
}

@INCOLLECTION {rOWE95a,
	author="A. B. Owen",
	title="Randomly Permuted $(t,m,s)$-Nets and $(t,s)$-Sequences",
	booktitle={{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
               Scientific Computing},
        publisher={Springer-Verlag},
        editor={H. Niederreiter and P. J.-S. Shiue},
        series={Lecture Notes in Statistics},
        volume={106},
	year={1995},
	pages={299--317}  }

@ARTICLE {rPAC85a,
	author="Packard, N. and Wolfram, S.",
	title="Two-Dimensional Cellular Automata",
	journal={Journal of Statistical Physics},
	year={1985},
	volume={38},
        number={5/6},
	pages={901--946}  }

@MASTERSTHESIS {rPAN00a,
	author = "F. Panneton",
	title = {G\'en\'erateurs de nombres al\'eatoires utilisant
                 des r\'ecurrences lin\'eaires modulo 2},
	school={D\'epartement d'informatique et de recherche
                op\'eration\-nelle, Universit\'e de Montr\'eal},
        language={french},
        xmonth = {},
	year ={2000} }

@manual{rPAN03b,
  author = {F. Panneton},
  title =  {REGPOLY},
  note =  {Software {user's} guide},
  institution = {D\'epartement d'Informatique et de Recherche
          Op\'erationnelle, Universit\'e de Montr\'eal},
  year =  {2003}
}

@manual{rPAN03c,
  author = {F. Panneton},
  title =  {F2wStreams},
  note =  {Software {user's} guide},
  institution = {D\'epartement d'Informatique et de Recherche
          Op\'erationnelle, Universit\'e de Montr\'eal},
  year =  {2003},
  optannote = {}
}

@inproceedings{rPAN04a,
  author = 	 {F. Panneton and P. L'Ecuyer},
  title = 	 {Random Number Generators Based on Linear
                  Recurrences in {$F_{2^w}$}},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2002},
  optvolume = 	 {},
  optnumber = 	 {},
  pages =	 {367--378},
  year =         {2004},
  editor =	 {H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@article{rPAN04c,
   new = {rPAN05a},
  author = 	 {F. Panneton and P. L'Ecuyer},
  title = 	 {On the Xorshift Random Number Generators},
  journal = 	 {{ACM} Transactions on Modeling and Computer Simulation},
  volume={15},
  number={4},
  pages={346--361},
  year =	 {2005},
  optannote = 	 {xorshift}
}

@inproceedings{rPAN04d,
  new =  {rPAN06a},
  author = 	 {F. Panneton and P. L'Ecuyer},
  title = 	 {Infinite-Dimensional Point Sets Based on
                  Linear Recurrences over {GF($2^w$)}},
  booktitle =    {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
  optvolume = 	 {},
  optnumber = 	 {},
  optpages =	 {},
  year =         {2005},
  editor =	 {H. Niederreiter and D. Talay},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
  note = {to appear},
}

@phdthesis {rPAN04t,
  author = {F. Panneton},
  title = {Construction d'ensembles de points bas\'ee sur des r\'ecurrences
           lin\'eaires dans un corps fini de caract\'eristique 2
           pour la simulation {M}onte {C}arlo et l'int\'egration
           quasi-{M}onte {C}arlo},
  school  = {D\'epartement d'informatique et de recherche op\'erationnelle,
             Universit\'e de Montr\'eal},
  address = {Canada},
  month = {August},
  year = {2004},
  }

@article{rPAN05a,
  old = {rPAN04c},
  author = 	 {F. Panneton and P. L'Ecuyer},
  title = 	 {On the Xorshift Random Number Generators},
  journal = 	 {{ACM} Transactions on Modeling and Computer Simulation},
  volume={15},
  number={4},
  pages={346--361},
  year =	 {2005},
  optannote = 	 {xorshift}
}

@article{rPAN05b,
  author = 	 {F. Panneton and P. L'Ecuyer},
  title = 	 {Resolution-Stationary Random Number Generators},
  journal = {Mathematics and Computers in Simulation},
  optvolume={},
  optnumber={},
  xpages={},
  note = {to appear},
  year =	 {2010},
  optannote = {},
  Xnote = {GERAD Report G-2006-60},
}

@inproceedings{rPAN06a,
   old =  {rPAN05a,rPAN04d},
  author =       {F. Panneton and P. L'Ecuyer},
  title =        {Infinite-Dimensional Highly-Uniform Point Sets Defined via
                  Linear Recurrences in {$\mathbb{F}_{2^w}$}},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
  pages =	 {419--429},
  year =       {2006},
  editor =	 {H. Niederreiter and D. Talay},
  address =	 {Berlin},
  publisher =  {Springer-Verlag},
}

@article{rPAN06b,
  old = {rPAN04b},
  author = 	 {F. Panneton and P. L'Ecuyer and M. Matsumoto},
  title = 	 {Improved Long-Period Generators Based on Linear
              Recurrences Modulo 2},
  journal = 	 {{ACM} Transactions on Mathematical Software},
  volume={32},
  number={1},
  pages={1--16},
  year =	 {2006},
  optannote = 	 {wellrng, WELL}
}

@article{rPAN10a,
   old = {rPAN07a},
  author = 	 {F. Panneton and P. L'Ecuyer},
  title = 	 {Resolution-Stationary Random Number Generators},
  journal = {Mathematics and Computers in Simulation},
  volume={80},
  number={6},
  pages={1096--1103},
  year =	 {2010},
  optannote = {},
  Xnote = {Also GERAD Report G-2006-60},
}

@ARTICLE {rPAR88a,
	author="S. K. Park and K. W. Miller",
	title="Random Number Generators: Good Ones Are Hard to Find",
	journal={Communications of the ACM},
	volume={31},
	number={10},
	year={1988},
	pages={1192--1201}  }

@INPROCEEDINGS{rPAS10a,
author={J. Passerat-Palmbach  and C. Mazel and A. Mahul and  D. R. C. Hill},
title={Reliable initialization of {GPU}-enabled parallel stochastic simulations using
       {M}ersenne twister for graphics processors},
booktitle={Proceedings of the European Simulation and Modeling Conference 2010},
year={2010},
pages={187--195} }

@INPROCEEDINGS{rPAS11a,
author={J. Passerat-Palmbach and C. Mazel and B. Bachelet and D. R. C. Hill},
title={{ShoveRand}: A model-driven framework to easily generate random numbers on {GP-GPU}},
booktitle={2011 International Conference on High Performance Computing and Simulation (HPCS)},
year={2011},
optmonth={july},
pages={41--48},
keywords={GP-GPU;ShoveRand;general purpose graphics processing units;libraries;model-driven framework;parallelization possibility;random number generation;statistical quality;stochastic simulation;computer graphic equipment;coprocessors;parallel processing;random number generation;software libraries;statistical analysis;stochastic processes;},
doi={10.1109/HPCSim.2011.5999805} }

@INPROCEEDINGS{rPAS11b,
 author={J. Passerat-Palmbach and C. Mazel  and D. R. C. Hill},
 title={Pseudo-Random Number Generation on {GP-GPU}},
 booktitle = {Proceedings of the 2011 {IEEE} Workshop on Principles of Advanced and Distributed Simulation},
 series = {PADS'11},
 year = {2011},
 isbn = {978-1-4577-1363-7},
 pages = {1--8},
 url = {http://dx.doi.org/10.1109/PADS.2011.5936751},
 doi = {10.1109/PADS.2011.5936751},
 publisher = {IEEE Computer Society},
 optaddress = {Washington, DC, USA}
}

@INPROCEEDINGS{rPAS11c,
author={J. Passerat-Palmbach and J. Caux and P. Siregar and D. R. C. Hill},
title={Warp-level parallelism: Enabling multiple replications in parallel on {GPU}},
booktitle={Proceedings of the European Simulation and Modeling Conference 2011},
year={2011},
pages={76--83} }

@ARTICLE {rPAS12a,
	author="J. Passerat-Palmbach and C. Mazel and D. R. C. Hill",
	title="Pseudo-random streams for distributed and parallel stochastic simulations on {GP-GPU}",
	journal={Journal of Simulation},
	volume={6},
	number={3},
	year={2012},
	pages={141--151},
	doi = {10.1057/jos.2012.8},
	annote = {preliminary draft in rPAS11b.  }
	}

@ARTICLE {rPAT92a,
	author="T. Patti",
	title="The Enhanced Ranger Device",
	journal={Cryptosystems Journal},
	year={1992},
	volume={2},
	number={2},
	pages={38--72}}

@INPROCEEDINGS {rPAU00a,
	author="K. Paul and D. R. Chowdhury",
	title="Applications of $\mbox{GF}(2^p)$ {CA} in Burst Error
            Correcting Codes Generator",
	booktitle={Proceedings of VLSI Design},
        address={India},
	year={2000} }

@INPROCEEDINGS {rPAU00b,
	author="K. Paul and S. P. Chaudhuri and  R. Ghosal and
                B. Sikdar and D. R. Chowdhury",
	title="$\mbox{GF}(2^p)$ {CA}-Based Vector Quantization
               for Fast Encoding of Still Images",
	booktitle={Proceedings of VLSI Design},
        address={India},
	year={2000} }

@ARTICLE {rPAY69a,
	author="W. H. Payne and J. R. Rabung and T. P. Bogyo",
	title="Coding the {L}ehmer Pseudo-Random Number Generator",
	journal={Communications of the ACM},
	volume={12},
	year={1969},
        month={Feb.},
	pages={85--86}  }

@ARTICLE {rPER89a,
	author="D. E. Percus and M. Kalos",
	title="Random Number Generators for {MIMD} Parallel Processors",
	journal={Journal of Parallel and Distributed Computation},
	volume={6},
	year={1989},
	pages={477--497}  }

@ARTICLE {rPER95a,
	author="O. E. Percus and P. A. Whitlock",
	title="Theory and Application of {M}arsaglia's Monkey Test
           for Pseudorandom Number Generators",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={5},
        number={2},
	year={1995},
	pages={87--100}  }

@article {rPIC95a,
   author    = {C. A. Pickover},
   title     = {Random Number Generators: Pretty Good Ones are Easy to Find},
   journal   = {Visual Computer},
   year      = {1995},
   volume    = {11},
   pages     = {369--377} }

@ARTICLE {rPIE85a,
	author="C. D. Pierchala",
	title="An Improvement for the McGill University Random Number Package",
	journal={Computational Statistics and Data Analysis},
	volume={2},
	year={1985},
	pages={317--322}  }

@ARTICLE {rPIN97a,
	author="S. Pincus and R. E. Kalman",
	title="Not All (Possibly) {``Random''} Sequences are Created Equal",
	journal={Proceedings of the National Academy of Sciences of the USA},
	volume={94},
	year={1997},
	pages={3513--3518}  }

@UNPUBLISHED {rPIR04a,
	author="C. Piras",
	title="{RaBiGeTe:} A Random Bit Generators Tester",
	year={2004},
	note={See \url{http://www.webalice.it/cristiano.pi/rabigete/}} }

@ARTICLE {rPIR01a,
	author="G. Pirsic and W. Ch. Schmid",
	title="Calculation of the Quality Parameter of
               Digital Nets and Application to their Construction",
	journal={Journal of Complexity},
	volume={17},
        number={4},
	year={2001},
	pages={827--839}  }

@InProceedings{rPIR01c,
  author = {G. Pirsic},
  title = {A Software Implementation of {N}iederreiter-{X}ing Sequences},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  optpages =	 {},
  year =	 {2001},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  optaddress =	 {Berlin},
  publisher =	 {Springer},
  note =         {To appear},
  optannote = 	 {}
}

@INPROCEEDINGS {rPLU82a,
	author="J. B. Plumstead",
	title="Inferring a Sequence Generated by a Linear Congruence",
	booktitle={Proceedings of the 23rd {IEEE} Symposium on Foundations of
	           Computer Science},
	pages={153--159},
	year={1982} }

@ARTICLE {rPRE92a,
	author="W. H. Press and S. A. Teukolsky",
	title="Portable Random Number Generators",
	journal={Computers in Physics},
	volume={6},
	number={5},
	year={1992},
	pages={522--524}  }

@book {rPRE92b,
   author    = "W. H. Press and S. A. Teukolsky",
   title     = {Numerical Recipes in C},
   year      = {1992},
   publisher = {Cambridge University Press},
   address   = {Cambridge} }

@unpublished {rPRL83a,
	author="{PRL}",
	title={Psychophysical Research Laboratories: 1893 Annual Report},
	address = {301 College Road East, Princeton, New Jersey},
	pages={55--68},
	year={1983},
	annote = {Comparison of May and {RIPP} RNGs},
}

@ARTICLE {rRAD90a,
	author="D. I. Radin",
	title="Testing the Plausibility of Psi-Mediated Computer System Failures",
	journal={Journal of Parapsychology},
	volume={54},
	year={1990},
	pages={1--19}  }

@ARTICLE {rREI09a,
   author = "I. Reidler and Y. Aviad and M. Rosenbluh and I. Kanter",
   title  = "Ultrahigh-Speed Random Number Generation Based on a Chaotic
              Semiconductor Laser",
   journal = {Physical Review Letters},
   volume = {103},
   number = {2},
   pages = {024102},
   year   = {2007},
   NUMpages  = {4}  }

@ARTICLE {rREI88a,
	author="J. H. Reif and J. D. Tygar",
	title="Efficient Parallel Pseudorandom Number Generation",
	journal={SIAM Journal on Computing},
	volume={17},
	number={2},
	year={1988},
	pages={404--411}  }

@ARTICLE {rREU12a,
	author="R. Reuillon and M. K. Traore and J. Passerat-Palmbach and D. R. C. Hill",
	title="Parallel Stochastic Simulations with Rigorous Distribution of Pseudo-Random Numbers
	   with {DistMe}: Application to Life Science Simulation",
	journal={Concurrency and Computation: Practice and Experience},
	volume={24},
	optnumber={},
	year={2012},
	pages={723--738},
	doi = {10.1002/cpe.1883}  }

@Misc{rREY98a,
  author =	 {W. J. J. Rey},
  title =	 {On generating random numbers, with help of
                  $y = [(a + x) sin (b x)]$ mod 1 },
  howpublished = {presented at the 22nd European Meeting of Statisticians
    and the 7th Vilnius Conference on Probability Theory and
    Mathematical Statistics},
  optaddress =      {Vilnius},
  month =	 {August},
  year =	 {1998},
  pages =        {390},
  optannote = 	 {} }

@TECHREPORT {rRIC51a,
	author="R. D. Richtmyer",
	title="The Evaluation of Definite Integrals, and a quasi-{M}onte {C}arlo Method
	   Based on Properties of Algebraic Numbers",
  institution="Los Alamos National Laboratory",
  number={LA-1342},
  month = {October},
	year={1951}  }

@inproceedings{rRIE98a,
   author = {A.~Rieke and A.-R.~Sadeghi and W. Poguntke},
   title = {On primitivity tests for polynomials},
   booktitle = {Proceedings of the 1998 IEEE International Symposium on Information Theory},
   month = {August},
   year = {1998},
   address  = {Cambridge, MA}
}

@Misc{rRIJ00a,
  author = {V. Rijmen and A. Bossel{\ae}rs and P. Barreto},
  title =  {Optimised {ANSI C} code for the {R}ijndael cipher (now {AES})},
  year =  {2000},
  note =  {Public domain software},
  optannote = {}
}

@ARTICLE {rRIP83a,
	author="B. D. Ripley",
	title="The Lattice Structure of Pseudo-random Number Generators",
	journal={Proceedings of the Royal Society of London, Series A},
	volume={389},
	year={1983},
	pages={197--204}  }

@BOOK {rRIP88b,
	author="B. D. Ripley",
	title={Statistical Inference for Spacial Processes},
	publisher="Cambridge University Press",
	year={1988}  }

@ARTICLE {rRIP90a,
	author="B. D. Ripley",
	title="Thoughts on Pseudorandom Number Generators",
	journal={Journal of Computational and Applied Mathematics},
	volume={31},
	year={1990},
	pages={153--163}  }

@ARTICLE {rROS07a,
   author = "M. Rosenbluh and Y. Aviad and E. Cohen and L. Khaykovich and
                      W. Kinzel and E. Kopelowitz and P. Yoskovits and I. Kanter",
   title  = "Spiking Optical Patterns and Synchronization",
   journal = {Physical Review E},
   volume = {76},
   number = {4},
   pages = {046207},
   year   = {2007},
   NUMpages  = {5}  }

@techreport {rRUK01a,
   old    = {rBAN01a},
   author = {A. Rukhin and J. Soto and J. Nechvatal and M. Smid and
             E. Barker and S. Leigh and M. Levenson and M. Vangel and
             D. Banks and A. Heckert and J. Dray and S. Vo},
   title  = {A Statistical Test Suite for Random and Pseudorandom Number
                Generators for Cryptographic Applications},
   institution = {National Institute of Standards and Technology ({NIST})},
   address   = {Gaithersburg, MD, USA},
   year      = {2001},
   type      = {{NIST} Special Publication 800-22},
   note      ={See \url{http://csrc.nist.gov/rng/}} }

@ARTICLE {rRUK01b,
	author = "A. L. Rukhin",
	title  = "Testing Randomness: {A} Suite of Statistical Procedures",
	journal = {Theory of Probability and Its Applications},
	volume = {45},
        number = {1},
	year   = {2001},
	pages  = {111--132}  }

@ARTICLE {rRUK02a,
	author = "A. L. Rukhin",
	title  = "Distribution of the number of words with a prescribed frequency
                  and tests of randomness",
	journal = {Advances in Applied Probability},
	volume = {34},
        number = {4},
	year   = {2002},
	pages  = {775--797}  }

@BOOK {rRUE86a,
	author="R. A. Rueppel",
	title={Analysis and Design of Stream Ciphers},
	publisher="Springer-Verlag",
	year={1986}  }

@ARTICLE {rRYA03a,
        author = "B. Y. Ryabko and V. S. Stognienko and Y. I. Shokin",
	title  = "Adaptive $\chi^2$ Test for Discriminating between Close Hypotheses
	           with a Large Number of Classes and Its Application to Some
             Cryptography Problems",
	journal = {Problems of Information Transmission},
	volume = {39},
  number = {2},
	year   = {2003},
	pages  = {207--215}  }

@ARTICLE {rRYA04a,
	author = "B. Y. Ryabko and A. I. Pestunov",
	title  = "``{B}ook Stack'' as a new statistical test for random numbers",
	journal = {Problems of Information Transmission},
	volume = {40},
  number = {1},
	year   = {2004},
	pages  = {66--71}  }

@ARTICLE {rRYA04b,
	author = "B. Y. Ryabko and V. S. Stognienko and Y. I. Shokin",
	title  = "A new test for randomness and its application to some
                  cryptographic problems",
	journal = {Journal of statistical planning and inference},
	volume = {123},
	year   = {2004},
	pages  = {365--376}  }

@ARTICLE {rRYA05a,
	author = "B. Y. Ryabko and V. A. Monarev",
	title  = "Using information theory approach to randomness testing",
	journal = {Journal of statistical planning and inference},
	volume = {133},
	year   = {2005},
	pages  = {95--110}  }

@ARTICLE {rRYA05b,
	author = "B. Y. Ryabko and V. A. Monarev and Y. I. Shokin",
	title  = "A New Type of Attack on Block Ciphers",
	journal = {Problems of Information Transmission},
	volume = {41},
  number = {4},
	year   = {2005},
	pages  = {385--394}  }

@unpublished {rSAA93a,
   author    = {J. Saarinen and K. Kankaala and T. Ala-Nissila
                and I. Vattulainen},
   title     = {On Random Numbers -- Test Methods and Results},
   series    = {Preprint Series in Theoretical Physics},
   year      = {1993},
   month     = {August},
   number    = {HU-TFT-93-42} }

@inproceedings{rSAI08a,
  author =       {M. Saito and M. Matsumoto},
  title =        {{SIMD}-oriented Fast {M}ersenne Twister:
                  A 128-bit Pseudorandom Number Generator},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2006},
  pages =	    {607--622},
  year =       {2008},
  editor =	 {A. Keller and S. Heinrich and H. Niederreiter},
  address =	 {Berlin},
  publisher =  {Springer-Verlag},
}

@Misc{rSAI11a,
  author = {M. Saito and M. Matsumoto},
  title = {Tiny {M}ersenne twister ({TinyMT})},
  url = {http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/TINYMT/index.html},
  year = {2011} }

@article{rSAI12a,
  author    = {M. Saito and M. Matsumoto},
  title     = {Variants of {M}ersenne Twister Suitable for Graphic Processors},
  journal   = {{ACM} Transactions on Mathematical Software},
  optvolume    = {},
  year      = {2012},
  note = {to appear},
  ee        = {http://arxiv.org/abs/1005.4973},
  OPTbibsource = {DBLP, http://dblp.uni-trier.de}
}

@Misc{rSAI12b,
  author = {M. Saito and M. Matsumoto},
  title = {A deviation of {CURAND}: standard pseudorandom
           number generator in {CUDA} for {GPGPU}},
  url = {http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MTGP/curand-slide-mcqmc.pdf},
  note = {\url{http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MTGP/curand-slide-mcqmc.pdf},
          Presented at MCQMC'2012},
  address = {Sydney, Australia},
  month = {February},
  year = {2012} }

@ARTICLE {rSAK83a,
	author="H. Sakasegawa",
	title="Stratified rejection and squeeze method for
               generating beta random numbers",
	journal={Annals of the Institute of Mathematical Statistics},
	volume={35B},
	year={1983},
	pages={291--302}  }

@INPROCEEDINGS {rSAK95a,
	author="M. Sakamoto and S. Morito",
	title="Combination of Multiplicative Congruential Random
               Number Generators with Safe Prime Modulus",
	booktitle={Proceedings of the 1995 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1995},
	pages={309--315}  }

@inproceedings{rSAL11a,
 author = {Salmon, J. K. and Moraes, M. A. and Dror, R. O. and Shaw, D. E.},
 title = {Parallel random numbers: as easy as 1, 2, 3},
 booktitle = {Proceedings of the 2011 International Conference for High Performance Computing,
              Networking, Storage and Analysis},
 year = {2011},
 isbn = {978-1-4503-0771-0},
 location = {Seattle, Washington},
 pages = {16:1--16:12},
 articleno = {16},
 numpages = {12},
 OPTurl = {http://doi.acm.org/10.1145/2063384.2063405},
 doi = {10.1145/2063384.2063405},
 publisher = {ACM},
 address = {New York, NY, USA},
}

@ARTICLE {rSAN86a,
	author="M. Santha and U. V. Vazirani",
	title="Generating Quasi-Random Sequences from Semi-Random Sources",
	journal={Journal of Computer and System Science},
	year={1986},
	volume={33},
	pages={75--87}}

@Unpublished{rSAR03a,
  author = {P. Sarkar},
  title = {Computing Shifts in 90/150 Cellular Automata Sequences},
  note = {manuscript},
  address = {University of Waterloo, Canada},
  optkey = {},
  year = {2003},
  optannote = {}
}

@ARTICLE {rSCH70a,
	author="H. Schmidt",
	title="Quantum-Mechanical Random-Number Generator",
	journal={Journal of Applied Physics},
	volume={41},
	number={2},
	year={1970},
	pages={462--468}  }

@Article{rSCH71a,
  author = 	 {C. P. Schnorr},
  title = 	 {A Unified Approach to the Definition of a Random Sequence},
  journal = 	 {Math. System Theory},
  year = 	 {1971},
  volume =	 {5},
  pages =	 {246--258}
}

@incollection {rSCH77a,
        author="W. M. Schmidt",
        title="Irregularities of Distribution. {X}.",
        booktitle={Number Theory and Algebra},
        publisher = "Academic Press",
        year={1977},
        pages={311--329}  }

@ARTICLE {rSCH79a,
        author="L. Schrage",
        title="A More Portable Fortran Random Number Generator",
        journal={ACM Transactions on Mathematical Software},
        volume={5},
        year={1979},
        pages={132--138}  }

@ARTICLE {rSCH84a,
	author="R. A. Scholtz and L. R. Welch",
	title="GMW Sequences",
	journal={{IEEE} Transactions on Information Theory},
	volume={IT-30},
	year={1984},
	pages={548--553}  }

@INPROCEEDINGS {rSCH90a,
	author="A. W. Schrift and A. Shamir",
	title="The Discrete Log is Very Discreet",
	booktitle={Proceedings of {STOC}'90},
	publisher="ACM Publications",
	year={1990},
	pages={405--415}  }

@incollection {rSCH98a,
   old = {rSCH97a},
   author    = {W. C. Schmid},
   title     = {Shift-Nets: a New Class of Binary Digital $(t,m,s)$-Nets},
   booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1996},
   editor    = {P. Hellekalek and G. Larcher and H. Niederreiter
                and P. Zinterhof},
   publisher = {Springer-Verlag},
   address   = {New York, NY},
   volume    = {127},
   pages     = {369--381},
   year      = {1998},
   series    = {Lecture Notes in Statistics} }

@ARTICLE {rSCH99a,
	author="W. Ch. Schmid",
	title="The exact quality parameter of nets derived
               from {S}obol' and {N}iederreiter sequences",
	journal={Recent Advances in Numerical Methods and Applications},
	year={1999},
  publisher="World Scientific Publishers",
	pages={287--295}  }

@unpublished {rSCH05a,
	author={W. Ch. Schmid and R. Sch{\"u}rer},
	title={{MinT}, the database for optimal $(t, m, s)$-net parameters},
  note = {\url{http://mint.sbg.ac.at}},
	year={2005},
	optpages={}  }

@unpublished {rSCH06a,
	author={R. Sch{\"u}rer and W. Ch. Schmid},
	title={Linear Programming Bounds;
	       in {MinT}, the database for optimal $(t, m, s)$-net parameters},
  note = {\url{http://mint.sbg.ac.at/desc_CBoundLP.html}, version: 2006-12-20},
	year={2006},
}

@BOOK {rSCH05b,
   author="H. G. Schuster and W. Just",
   title={Deterministic Chaos},
   publisher="Wiley-VCH Verlag ",
   year={2005}  }

@Article{rSCH08a,
  author = 	 {C. Schlier},
  title = 	 {On scrambled {H}alton sequences},
  journal = {Applied Numerical Mathematics},
  year = 	 {2008},
  number = 	 {58},
  pages = 	 {1467--1478}
}

@ARTICLE {rSEZ03a,
	author="A. Seznec and N. Sendrier",
	title="HAVEGE: A User-Level Software Heuristic for Generating
               Empirically Strong Random Numbers",
        note={Available at
              \url{http://www.irisa.fr/caps/projects/hipsor/HAVEGE.html}},
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={13},
	number={4},
	year={2003},
	pages={334--346}  }

@INPROCEEDINGS {rSHA81a,
	author="A. Shamir",
	title="On the Generation of Cryptographically Strong
            Pseudo-Random Sequences",
	booktitle={Proceedings of the 8th International Colloquium on Automata,
                   Languages Programming},
	publisher="Springer-Verlag",
	year={1981},
        note={Also in {\it ACM Trans. on Computer Systems\/},
            {\bf 1}, 1 (1983) 38--44.},
	pages={544--550}  }

@ARTICLE {rSHC97a,
	author = {L. N. Shchur and J. R. Heringa and H. W. J. Bl{\"o}te},
	title  = "Simulation of a Directed Random-Walk Model:
                 The Effect of Pseudo-Random Number Correlations",
	journal= {Physica {A}},
	volume = {241},
	year   = {1997},
	pages  = {579--592}  }

@ARTICLE {rSHE90a,
	author="Y. S. Sherif and R. G. Dear",
	title="Development of a New Composite Pseudo-Random Number Generator",
	journal={Microelectronics and Reliability},
	volume={30},
	year={1990},
	pages={545--553}  }

@INPROCEEDINGS {rSIK00a,
	author="B. K. Sikdar and K. Paul and G. P. Biswas and C. Yang
                and V. Bopanna and S. Mukherjee and P. P. Chaudhuri",
	title="Theory and Applications of $\mbox{GF}(2^p)$ Cellular
              Automata as On-Chip Test Pattern Generator",
	booktitle={Proceedings of VLSI Design},
        address={India},
	year={2000},
	pages={556--561}  }

@article{rSIN07a,
  author    = {V. Sinescu and S. Joe},
  title     = {Good Lattice Rules Based on the General Weighted Star Discrepancy},
  journal   = {Mathematics of Computation},
  volume    = {76},
  number    = {258},
  year      = {2007},
  pages     = {989--1004}
}

@INPROCEEDINGS {rSIN07b,
  author    = {V. Sinescu and S. Joe},
  title     = {Good intermediate-rank Lattice Rules Based on the Weighted
               Star Discrepancy},
  booktitle = {Applied analysis and differential equations 2006},
  editor    = {O. C\^arj\u a and I. I. Vrabie},
  publisher = {World Scientific},
  year      = {2007},
  pages     = {329--342}
}

@INPROCEEDINGS {rSIN08a,
  author    = {V. Sinescu and S. Joe},
  title     = {Good Lattice Rules with a Composite number of points Based on the
               product Weighted Star Discrepancy},
  booktitle = {Monte Carlo and Quasi-Monte Carlo Methods 2006},
  editor    = {A. Keller and S. Heinrich and H. Niederreiter},
  publisher = {Springer},
  year      = {2008},
  pages     = {645--658}
}

@PHDTHESIS {rSIN08b,
	author="V. Sinescu",
	title="Construction of lattice rules for multiple integration based on a
          weighted discrepancy",
   note = {Available at \url{http://adt.waikato.ac.nz/uploads/approved/adt-uow20080411.095059/public/02whole.pdf}},
	TYPE={Thesis},
	school={University of Waikato},
	address="New Zealand",
	year={2008}
}

@inproceedings{rSIN09a,
  author =       {V. Sinescu and P. L'Ecuyer},
  title =        {On the Behavior of Weighted Star Discrepancy Bounds for Shifted Lattice Rules},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2008},
  pages =	        {603--616},
  year =         {2009},
  editor =     	 {P. L'Ecuyer and A. B. Owen},
  address =	 {Berlin},
  publisher =  {Springer-Verlag}
}

@article{rSIN11a,
     author = {V. Sinescu and P. L'Ecuyer},
     title = {Existence and Contruction of Shifted Lattice Rules with an
         Arbitrary Number of Points and Bounded Worst-Case Error for General Weights},
  journal   = {Journal of Complexity},
  volume    = {27},
  number    = {5},
  year      = {2011},
  pages     = {449--465}
}

@article{rSIN12a,
     author = {V. Sinescu and P. L'Ecuyer},
     title = {Variance Bounds and Existence Results for Randomly Shifted Lattice Rules},
  journal   = {Journal of Computations and Applied Mathematics},
  volume    = {236},
  year      = {2012},
  pages     = {3296--3307}
}

@article{rSLO02a,
  author    = {I. H. Sloan and F. Y. Kuo and S. Joe},
  title     = {On the step-by-step construction of quasi-{M}onte {C}arlo integration
               rules that achieve strong tractability error bounds in weighted
               {S}obolev spaces},
  journal   = {Mathematics of Computation},
  volume    = {71},
  number    = {240},
  year      = {2002},
  pages     = {1609--1640}
}

@ARTICLE{rSOB67a,
	author	={I. M. Sobol'},
	title	={The distribution of points in a cube and the
                  approximate evaluation of integrals},
	journal	={U.S.S.R. Comput. Math. and Math. Phys.},
	volume	={7},
  number = {4},
	pages	={86--112},
	year	={1967} }

@ARTICLE{rSOB67b,
	author	={I. M. Sobol'},
	title	={On the Distribution of Points in a Cube and the Approximate Evaluation
	        of Integrals},
	journal ={Zh. Vychisli. Mat. i Mat. Fiz.},
	volume	={7},
	pages	={784--802},
	year	={1967} }

@BOOK{rSOB69a,
  author = "I. M. Sobol'",
  title  = "Multidimensional Quadrature Formulas and {H}aar Functions",
  publisher = "Nauka",
  address = "Moskow",
  note = "In Russian",
  year = "1969"}

@ARTICLE {rSOB72a,
	author="J. S. Sobolewski",
	title="Pseudonoise with Arbitrary Amplitude Distribution---Part {I}: Theory",
	journal={{IEEE} Transactions on Computers},
	volume={C-21},
	year={1972},
	pages={337--345}  }

@ARTICLE {rSOB72b,
	author="J. S. Sobolewski",
	title="Pseudonoise with Arbitrary Amplitude Distribution---Part {II}:
	       Hardware Implementation",
	journal={{IEEE} Transactions on Computers},
	volume={C-21},
	year={1972},
	pages={346--352}  }

@TECHREPORT{rSOB76a,
	author	={I. M. Sobol' and Y. L. Levitan},
	title	={The production of points uniformly distributed in a
                  multidimensional},
	institution ={Institute of Applied Mathematics,
                      USSR Academy of Sciences},
	number	={Preprint 40},
	note	={In Russian},
	year	={1976} }

@ARTICLE{rSOB76b,
	author	={I. M. Sobol'},
	title	={Uniformly distributed sequences with an additional
                  uniform property},
	journal ={USSR Comput.\ Math.\ Math.\ Phys.\ Academy of Sciences},
	volume	={16},
	pages	={236--242},
	year	={1976} }

@ARTICLE{rSOB98a,
	author	={I. M. Sobol'},
	title	={On Quasi-{M}onte {C}arlo Integration},
	journal	={Mathematics and Computers in Simulation},
	volume	={47},
	pages	={103--112},
	year	={1998} }

@ARTICLE{rSOB99a,
	author	={I. M. Sobol' and Y. L. Levitan},
	title	={A Pseudo-Random Number Generator for Personal Computers},
	journal	={Computers and Mathematics with Applications},
	volume	={37},
	pages	={33--40},
	year	={1999} }

@ARTICLE {rSOK72a,
	author="N. O. Sokal",
	title="Optimum Choice of Noise Frequency Band and Sampling Rate
	       for Generating Random Binary Digits from Clipped White Noise",
	journal={{IEEE} Transactions on Computers},
	volume={C-21},
	year={1972},
	pages={614--615}  }

@Unpublished{rSOT99a,
  author = 	 {J. Soto},
  title = 	 {Statistical Testing of Random Number Generators},
  note = 	 {Available at \url{http://csrc.nist.gov/rng/}},
  optmonth = 	 {},
  year =	 {1999},
  optannote = 	 {}
}

@article{rSRI03a,
title = "Testing parallel random number generators",
journal = "Parallel Computing",
volume = "29",
number = "1",
pages = "69--94",
year = "2003",
note = "",
issn = "0167-8191",
doi = "DOI: 10.1016/S0167-8191(02)00163-1",
url = "http://www.sciencedirect.com/science/article/B6V12-47C8VDS-2/2/5a6519e3ced18504ce895886f63818db",
author = "Ashok Srinivasan and Michael Mascagni and David Ceperley",
keywords = "Parallel random number generators",
keywords = "Random number tests",
keywords = "Parallel algorithms",
keywords = "Random number software"
}

@Article{rSTA93a,
  author = 	 {E. Stadlober and H. Zechner},
  title = 	 {Generating Beta Variates via Patchwork Rejection},
  journal = 	 {Computing},
  year = 	 {1993},
  volume =	 {50},
  optnumber =	 {},
  pages =	 {1--18},
  optannote = 	 {}
}

@INPROCEEDINGS {rSTE87a,
	author="J. Stern",
	title="On the Generation of Cryptographically Strong
             Pseudo-Random Sequences",
	booktitle={Proceedings of the 8th International Colloquium on Automata,
                   Languages Programming},
	publisher="Springer-Verlag",
	year={1981},
        note={Also in {\it ACM Trans. on Computer Systems\/},
             {\bf 1}, 1 (1983) 38--44.},
	pages={544--550}  }

@INPROCEEDINGS {rSTE87b,
	author="J. Stern",
	title="Secret Linear Congruential Generators are not
            Cryptographically Strong",
	booktitle={Proceedings of the 28th {IEEE} Symposium on
            Foundations of Computer Science},
	year={1987},
	pages={421--426} }

@article {rSTE00a,
   author    = {A. Stefanov and N. Gisin and O. Guinnard and L. Guinnard and H. Zbinden},
   title     = {Optical quantum random number generator},
   journal   = {Journal of Modern Optics},
   year      = {2000},
   volume    = {47},
   number    = {4},
   pages     = {595--598} }

@article {rSTR94a,
   author    = {O. Strauch},
   title     = {{$L^2$} Discrepancy},
   journal   = {Math. Slovaca},
   year      = {1994},
   volume    = {44},
   number    = {5},
   pages     = {601--632} }

@article {rSTR95a,
   author    = {J. Struckmeier},
   title     = {Fast Generation of Low-Discrepancy Sequences},
   journal   = {Journal of Computational and Applied Mathematics},
   year      = {1995},
   volume    = {61},
   number = {4},
   pages     = {29--41} }


@ARTICLE {rSUE07a,
        author={C. Suematsu and N. Namekata and I. Shimada and S. Inoue},
        title={Generation of Physical Random Numbers by Means of Photon Counting},
        journal={Electronics and Communications in Japan, Part 3},
        volume={90},
        number={2},
        year={2007},
        pages={1--8} }

@ARTICLE {rSUL93a,
        author={S. J. Sullivan},
        title={Another Test for Randomness},
        journal={Communications of the ACM},
        volume={36},
        number={7},
        year={1993},
        pages={108} }

@inproceedings{rSUS06a,
 author = {Sussman, M. and Crutchfield, W. and Papakipos, M.},
 title = {Pseudorandom number generation on the {GPU}},
 booktitle = {Proceedings of the 21st ACM SIGGRAPH/EUROGRAPHICS symposium on Graphics hardware},
 OPTseries = {GH'06},
 year = {2006},
 isbn = {3-905673-37-1},
 location = {Vienna, Austria},
 pages = {87--94},
 OPTnumpages = {8},
 url = {http://doi.acm.org/10.1145/1283900.1283914},
 doi = {10.1145/1283900.1283914},
 publisher = {ACM},
}

@ARTICLE {rTAK94a,
	author="K. Takashima",
	title="Sojourn Time Test for Maximum-Length Linear Recurring
		  Sequences with Characteristic Primitive Trinomials",
	journal={J. Japanese Soc. Comp. Satist.},
	volume={7},
	year={1994},
	pages={77--87}  }

@ARTICLE {rTAK95a,
	author="K. Takashima",
	title="Sojourn Time Test for $m$-Sequences with
		  Characteristic Pentanomials",
	journal={J. Japanese Soc. Comp. Satist.},
	volume={8},
	year={1995},
	pages={37--46}  }

@ARTICLE {rTAK96a,
	author="K. Takashima",
	title="Last Visit Time Tests for Pseudorandom Numbers",
	journal={J. Japanese Soc. Comp. Satist.},
	volume={9},
        number={1},
	year={1996},
 	pages={1--14}  }

@ARTICLE {rTAU65a,
	author="R. C. Tausworthe",
	title="Random Numbers Generated by Linear Recurrence Modulo Two",
	journal={Mathematics of Computation},
	volume={19},
	year={1965},
	pages={201--209}  }

@ARTICLE {rTEI65a,
	author="D. Teichroew",
	title="A History of Distribution Sampling Prior to the Era
             of Computer and its Relevance to Simulation",
	journal={Journal of the American Statistical Association},
	volume={60},
	year={1965},
	pages={27--49}  }

@ARTICLE {rTEZ87a,
	author="S. Tezuka",
	title="{W}alsh-Spectral Test for {GFSR} Pseudorandom Numbers",
	journal={Communications of the ACM},
	volume={30},
	number={8},
	month={Aug},
	year={1987},
	pages={731--735}  }

@ARTICLE {rTEZ87b,
	author="S. Tezuka",
	title="On the Discrepancy of {GFSR} Pseudorandom Numbers",
	journal={Journal of the ACM},
	volume={34},
	number={4},
	month={Oct},
	year={1987},
	pages={939--949}  }

@ARTICLE {rTEZ88a,
	author="S. Tezuka",
	title="On Optimal {GFSR} Pseudorandom Number Generators",
	journal={Mathematics of Computation},
	volume={50},
	number={182},
	month={Apr},
	year={1988},
	pages={531--533}  }

@TECHREPORT {rTEZ89a,
	author="S. Tezuka",
	title="Random Number Generation Based on the Polynomial
	   Arithmetic Modulo Two",
        number={RT-0017},
	institution="IBM Research, Tokyo Research Laboratory",
        month={Oct.},
	year={1989}  }

@TECHREPORT {rTEZ89b,
	author="S. Tezuka",
	title="Analysis of {L'E}cuyer's Combined Random Number Generator",
        number={RT-5014},
	institution="IBM Research, Tokyo Research Laboratory",
        month={Nov.},
	year={1989}  }

@INPROCEEDINGS {rTEZ90a,
	author="S. Tezuka",
	title="Lattice Structure of Pseudorandom Sequences From
	   Shift-Register Generators",
	booktitle={Proceedings of the 1990 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1990},
	pages={266--269}  }

@TECHREPORT {rTEZ90b,
	author="S. Tezuka",
	title="A New Family of Low-Discrepancy Point Sets",
        number={RT-0031},
	institution="IBM Research, Tokyo Research Laboratory",
        month={Jan.},
	year={1990}  }

@ARTICLE {rTEZ91b,
	author="S. Tezuka and P. L'Ecuyer",
	title="Efficient and Portable Combined {T}ausworthe
	   Random Number Generators",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={1},
	number={2},
	year={1991},
	pages={99--112}  }

@INPROCEEDINGS {rTEZ92a,
	author="S. Tezuka and P. L'Ecuyer",
	title="An Analysis of Add-with-Carry and Subtract-with-Borrow
	   Generators",
	booktitle={Proceedings of the 1992 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1992},
	month={Dec},
	pages={443--447}  }

@UNPUBLISHED {rTEZ92b,
	author="S. Tezuka",
	title="A Unified View of Long-Period Random Number Generators",
	note={Submitted for publication},
	year={1992}  }

@INPROCEEDINGS {rTEZ92c,
	author="S. Tezuka and M. Fushimi",
	title="Fast Generation of Low Discrepancy Points Based on {F}ibonacci
	       Polynomials",
	booktitle={Proceedings of the 1992 Winter Simulation Conference},
	publisher="{IEEE} Press",
	year={1992},
	pages={433--437}  }

@ARTICLE {rTEZ93a,
	author="S. Tezuka and P. L'Ecuyer and R. Couture",
	title="On the Add-with-Carry and Subtract-with-Borrow
	   Random Number Generators",
	journal={ACM Transactions of Modeling and Computer Simulation},
        volume={3},
        number={4},
        pages={315--331},
	year={1994} }

@ARTICLE {rTEZ93b,
	author="S. Tezuka and M. Fushimi",
	title="Calculation of {F}ibonacci Polynomials for {GFSR} Sequences with
	       Low Discrepancies",
	journal={Mathematics of Computation},
	volume={60},
	number={202},
	pages={763--770},
	year={1993} }

@ARTICLE {rTEZ94a,
	author="S. Tezuka",
	title="The $k$-Dimensional Distribution of Combined {GFSR} Sequences",
	journal={Mathematics of Computation},
	volume={62},
	number={206},
	pages={809--817},
	year={1994} }

@ARTICLE {rTEZ94b,
	author="S. Tezuka and T. Tokuyama",
	title="A Note on Polynomial Arithmetic Analogue of {H}alton Sequences",
	journal={ACM Transactions on Modeling and Computer Simulation},
	volume={4},
	pages={279--284},
	year={1994} }

@ARTICLE {rTEZ94c,
	author="S. Tezuka and M. Fushimi",
	title="A Method of designing cellular automata as pseudorandom
             number generators for built-in self-test for {VLSI}",
	journal={Contemporary Mathematics},
	year={1994},
	volume={168},
	pages={363--367}  }

@ARTICLE {rTEZ94d,
        author="S. Tezuka",
        title="A Unified View of Large-Period Random Number Generators",
        journal={Journal of the Operations Research Society of Japan},
        volume={37},
        pages={211--227},
        year={1994} }

@book {rTEZ95a,
	author="S. Tezuka",
	title="Uniform Random Numbers: Theory and Practice",
	publisher={Kluwer Academic Publishers},
	address={Norwell, MA},
	year={1995} }

@TECHREPORT {rTEZ02a,
	author="S. Tezuka and H. Faure",
	title="$i$-Binomial Scrambling of Digital Nets and Sequences",
        optnumber={},
	institution="{IBM} Research, Tokyo Research Laboratory",
	year={2002}  }

@TECHREPORT {rTEZ02b,
	author="S. Tezuka",
	title="On Randomization of Generalized {F}aure Sequences",
        number={RT-0494},
	institution="{IBM} Research, Tokyo Research Laboratory",
	year={2002}  }

@article{rTHO07a,
 author = {Thomas, David B. and Luk, Wayne and Leong, Philip H.W. and Villasenor, John D.},
 title = {Gaussian random number generators},
 journal = {ACM Computing Surveys},
 issue_date = {2007},
 volume = {39},
 number = {4},
 month = nov,
 year = {2007},
 issn = {0360-0300},
 articleno = {11},
 url = {http://doi.acm.org/10.1145/1287620.1287622},
 doi = {10.1145/1287620.1287622},
 acmid = {1287622},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {Gaussian, Random numbers, normal, simulation},
}

@article{rTHO07b,
 author = {Thomas, David B. and Luk, Wayne},
 title = {High Quality Uniform Random Number Generation Using {LUT} Optimised State-transition Matrices},
 journal = {Journal of VLSI Signal Processing Systems},
 issue_date = {April     2007},
 volume = {47},
 number = {1},
 month = apr,
 year = {2007},
 issn = {0922-5773},
 pages = {77--92},
 numpages = {16},
 url = {http://dx.doi.org/10.1007/s11265-006-0014-9},
 doi = {10.1007/s11265-006-0014-9},
 acmid = {1265131},
 publisher = {Kluwer Academic Publishers},
 address = {Hingham, MA, USA},
 keywords = {FPGA, Simulation, Uniform Random Numbers},
}

@INPROCEEDINGS{rTHO07c,
    author = {David B. Thomas and Wayne Luk},
    title = {Non-uniform random number generation through piecewise linear approximations},
    booktitle = {IET Computers and Digital Techniques},
    year = {2007},
    volume = {1},
    number = {4},
    pages = {312--321}
}

@article{rTHO08a,
 author = {Thomas, David B. and Luk, Wayne},
 title = {Multivariate {G}aussian Random Number Generation Targeting Reconfigurable Hardware},
 journal = {ACM Transactions on Reconfigurable Technology and Systems},
 issue_date = {June 2008},
 volume = {1},
 number = {2},
 month = jun,
 year = {2008},
 issn = {1936-7406},
 pages = {12:1--12:29},
 articleno = {12},
 numpages = {29},
 url = {http://doi.acm.org/10.1145/1371579.1371584},
 doi = {10.1145/1371579.1371584},
 keywords = {FPGA, Random numbers, multivariate Gaussian distribution},
}

@inproceedings{rTHO08b,
 author = {Thomas, David Barrie and Luk, Wayne},
 title = {{FPGA}-optimised high-quality uniform random number generators},
 booktitle = {Proceedings of the 16th international {ACM/SIGDA} symposium on Field programmable gate arrays},
 series = {FPGA '08},
 year = {2008},
 isbn = {978-1-59593-934-0},
 location = {Monterey, California, USA},
 pages = {235--244},
 numpages = {10},
 url = {http://doi.acm.org/10.1145/1344671.1344706},
 doi = {10.1145/1344671.1344706},
 acmid = {1344706},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {generation, number, random},
}

@inproceedings{rTHO09a,
 author = {Thomas, David Barrie and Howes, Lee and Luk, Wayne},
 title = {A comparison of {CPUs, GPUs, FPGAs}, and massively parallel processor arrays for random number generation},
 booktitle = {Proceedings of the ACM/SIGDA international symposium on Field programmable gate arrays},
 OPTseries = {FPGA '09},
 year = {2009},
 isbn = {978-1-60558-410-2},
 location = {Monterey, California, USA},
 pages = {63--72},
 numpages = {10},
 OPTurl = {http://doi.acm.org/10.1145/1508128.1508139},
 doi = {10.1145/1508128.1508139},
 OPTacmid = {1508139},
 publisher = {ACM},
 address = {New York, NY, USA},
 keywords = {fpga, gpu, monte-carlo, mppa, random numbers},
}

@PHDTHESIS {rTIN90a,
	author="G. Tindo",
	title="Automates Cellulaires; Applications {\`a} la
               Mod{\'e}lisation de Certains
               Syst{\`e}mes Discrets et {\`a} la Conception d'une
               Architecture Parall{\`e}le
               pour la G{\'e}n{\'e}ration de Suites Pseudo-Al{\'e}atoires",
	language={French},
	TYPE={Dissertation (thesis)},
	school={Universit{\'e} de Nantes},
	address="France",
	year={1990}  }

@ARTICLE {rTIR04a,
	author="G. Tirler and P. Dalgaard and W. H{\"o}rmann and J. Leydold",
	title="An Error in the {K}inderman-{R}amage Method and How to Fix It",
	journal={Computational Statistics and Data Analysis},
	volume={47},
	number={3},
	year={2004},
	pages={433--440}  }

@ARTICLE {rTOM99a,
	author="M. Tomassini and M. Sipper and M. Zolla and M. Perrenoud",
	title="Generating High-Quality Random Numbers in Parallel by
            Cellular Automata",
	journal={Future Generation of Computer Systems},
	volume={16},
	year={1999},
	pages={291--305}  }

@ARTICLE {rTOO71a,
	author="J. P. R. Tootill and W. D. Robinson and A. G. Adams",
	title="The Runs Up-and-Down Performance of {T}ausworthe Pseudo-Random
	       Number Generators",
	journal={Journal of the ACM},
	volume={18},
	year={1971},
	pages={381--399}  }

@ARTICLE {rTOO73a,
	author="J. P. R. Tootill and W. D. Robinson and D. J. Eagle",
	title="An Asymptotically Random {T}ausworthe Sequence",
	journal={Journal of the ACM},
	volume={20},
	year={1973},
	pages={469--481}  }

@MASTERSTHESIS {rTOU01a,
	author = "R. Touzin",
	title = {Des g\'en\'erateurs r\'ecursifs multiples combin\'es
                 rapides avec des coefficients de la forme
                 $\pm 2^{p_1}\pm 2^{p_2}$},
	school={D\'epartement d'informatique et de recherche
                op\'erationnelle, Universit\'e de Montr\'eal},
        language={french},
        xmonth = {},
	year ={2001} }

@Unpublished{rTSO03a,
  author = 	 {K. H. Tsoi and K. H. leung and P. H. W. Leong},
  title = 	 {Compact {FPGA}-based True and Pseudo
                  Random Number Generators},
  note = 	 {manuscript},
  address =      {Department of Computer Science and Engineering,
                  The Chinese University of Hong Kong},
  year =	 {2003},
  optannote = 	 {physical devices, BBS}
}

@Article{rTSA02a,
  author = 	 {B. Tsaban and U. Vishne},
  title = 	 {Efficient Linear Feedback Shift Registers with
                  Maximal Periods},
  journal = 	 {Finite Fields and Their Applications},
  year = 	 {2002},
  volume =	 {8},
  pages =	 {256--267},
  optannote = 	 {}
}

@ARTICLE {rUCH08a,
   author = "A. Uchida and K. Amano and M. Inoue and K. Hirano and S. Naito
             and H. Someya and I. Oowada and T. Kurashige and M. Shiki
             and S. Yoshimori and K. Yoshimura  and P. Davis",
   title  = "Fast Physical Random Bit Generation with Chaotic Semiconductor
                   Lasers",
   journal = {Nature Photonics},
   volume = {2},
   year   = {2008},
   pages  = {728--732}  }

@ARTICLE {rUGR91a,
	author="G. {Ugrin-Sparac}",
	title="Stochastic Investigations of Pseudo-Random Number Generators",
	journal={Computing},
	volume={46},
	year={1991},
	pages={53--65}  }

@ARTICLE {rUGR96a,
	author="D. {Ugrin-Sparac}",
	title="A Natural Algorithm for Generation of Pseudo-Random Numbers",
	journal={{M}onte {C}arlo Methods and Applications},
	volume={2},
        number={3},
	year={1996},
	pages={191--217}  }

@ARTICLE {rUGR96b,
	author="G. {Ugrin-Sparac} and D. {Ugrin-Sparac}",
	title="On a Possible Error of Type {II} in Statistical Evaluation
           of Pseudo-Random Number Generators",
	journal={Computing},
	volume={56},
	year={1996},
	pages={105--116}  }

@ARTICLE {rULR84a,
	author="G. Ulrich",
	title="Computer Generation of Distributions on the m-sphere",
	journal={Applied Statistics},
	volume={33},
	year={1984},
	pages={158--163}  }

@INPROCEEDINGS {rVAN01a,
        author = "T. Vanura",
        title = "Algorithm for Randomize Choice from Random Digits",
        booktitle = {{M}onte {C}arlo Simulation},
        editors = {G. I. Schu\"eller and P. D. Spanos},
        xbooktitle={Proceedings of the International Conference
                    {M}onte {C}arlo 2000},
        publisher = {A. A. Balkema},
        address = {Rotterdam},
        year = {2001},
        pages = {41--45}  }

@article {rVAT94a,
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   title     = {Physical Tests for Random Numbers in Simulations},
   journal   = {Physical Review Letters},
   year      = {1994},
   month     = {11},
   volume    = {73},
   number    = {19},
   pages     = {2513--2516},
   sig       = {a2.35} }


@article {rVAT95a,
   author    = {I. Vattulainen and T. Ala-Nissila and K. Kankaala},
   title     = {Physical Models as Tests of Randomness},
   journal   = {Physical Review {E}},
   year      = {1995},
   volume    = {52},
   number    = {3},
   pages     = {3205--3213},
   sig       = {a2.34} }

@ARTICLE {rVAZ83a,
	author="U. Vazirani and V. Vazirani",
	title="Trapdoor Pseudo-Random Number Generators with
           Applications to Protocol Design",
	journal={15-th Annual ACM Symp. on Theory of Computing},
	year={1983},
	pages={23--30}  }

@INPROCEEDINGS {rVAZ84a,
	author="U. V. Vazirani and V. V. Vazirani",
	title="Efficient and Secure Pseudo-random Number Generation",
	booktitle={Proceedings of the 25th {IEEE} Symposium on Foundations of
	           Computer Science},
	year={1984},
	pages={458--463}  }

@ARTICLE {rVAZ87a,
	author="U. V. Vazirani",
	title="Strong Communication Complexity or Generating Quasi-Random
	   Sequences from Two Communicating Semi-Random Sources",
	journal={Combinatorica},
	year={1987},
	volume={7},
	number={4},
	pages={375--392}}

@Book{rVIL39a,
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  year = 	 {1939},
  address =	 {Paris}
}

@ARTICLE {rVIN71a,
   author="C. H. Vincent",
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   number={11},
   pages={825--828}}

@MANUAL {rVIS97a,
	author={IMSL},
	title="{IMSL} {STAT/LIBRARY}",
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	organization="{V}isual {N}umerics {I}nc.",
        volume={2},
        address={Houston, Texas, {USA}},
	year={1997}  }

@TECHREPORT {rVSL03a,
	author={Intel},
	title="{V}ector {S}tatistical {L}ibrary notes",
        note={\url{http://www.intel.com/software/products/mkl/docs/vslnotes.pdf}},
	institution="Intel Corporation",
        number={Version 3},
	year={2003}  }

@ARTICLE {rWAK91a,
	author={J. C. Wakefield and A. E. Gelfand and A. F. M. Smith},
	title="Efficient Generation of Random Variates via the Ratio-of-Uniforms Method",
	journal={Statistical Computing},
	volume={1},
	number={2},
	year={1991},
	pages={129--133}  }

@ARTICLE {rWAL49a,
	author="J. E. Walsh",
	title="Concerning Compound Randomization in the Binary System",
	journal={Annals of Mathematical Statistics},
	volume={20},
	year={1949},
	pages={580--589}  }

@Article{rWAL74a,
      author =       {Walker, A. J.},
      year =         1974,
      title =        {New fast method for generating discrete random
	              numbers with arbitrary frequency distributions},
      journal =      {Electronic Letters},
      volume =       10,
      pages =        {127--128},
      }

@ARTICLE {rWAL76a,
	author="C. S. Wallace",
	title="Transformed Rejection Generators for the Gamma and Normal
	       Pseudo-Random Variables",
	journal={Australian Computer Journal},
	volume={8},
	year={1976},
	pages={103--105}  }

@Article{rWAL77a,
      author =       {Walker, A. J.},
      title =        {An efficient method for generating discrete random
                      variables with general distributions},
      journal =      {ACM Transactions on Mathematical Software},
      volume =       3,
      year =         1977,
      pages =        {253--256},
}

@ARTICLE {rWAL90a,
	author="C. S. Wallace",
	title="Physically Random Generator",
	journal={Computer Systems Science and Engineering},
	volume={5},
	number={2},
	year={1990},
	pages={82--88}  }

@phdthesis {rWAN88a,
	author="M. Z. Wang",
	title="Cryptographic Aspects of Sequence Complexity Measures",
	school={{ETH} {Z}\"rich},
	year={1988}
}

@ARTICLE {rWAN93a,
	author="D. Wang and A. Compagner",
	title="On the Use of Reducible Polynomials as Random Number Generators",
	journal={Mathematics of Computation},
	volume={60},
	year={1993},
	pages={363--374}  }

@InProceedings{rWAN96a,
  author = 	 {Yongge Wang},
  title = 	 {The Law of the Iterated Logarithm for $p$-Random Sequences},
  booktitle = 	 {11th Annual {IEEE} Conference on Computational Complexity},
  editor =	 {S. Homer and J.-Y. Cai},
  year =	 {1996},
  publisher =	 {{IEEE} Compter Society Press},
  address =	 {Los Alamitos, CA},
  pages =	 {180--189}
}

@ARTICLE {rWAN97a,
	author="M. Z. Wang",
	title="Linear Complexity Profiles and Jump Complexity",
	journal={Information Processing Letters},
	volume={61},
	year={1997},
	pages={165--168}  }

@inproceedings {rWAN02a,
  author = "Y. Wang and F. J. Hickernell",
  title = {A Historical Overview of Lattice Point Sets},
  booktitle = 	 {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
  pages =	 {158--167},
  year =	 {2002},
  editor =	 {K.-T. Fang and F. J. Hickernell and H. Niederreiter},
  address =	 {Berlin},
  publisher =	 {Springer-Verlag},
}

@INPROCEEDINGS{rWAR72a,
        author="T. T. Warnock",
        title="Computational Investigations of low discrepancy point sets",
        editor = {S. K. Zaremba},
        publisher = {Academic Press},
        booktitle={Applications of Number Theory to Numerical Analysis},
        pages={319--343},
        address={London},
        year={1972} }

@INCOLLECTION {rWAR95a,
	author="T. T. Warnock",
	title="Computational Investigation of Low-Discrepancy Point Sets",
	booktitle={{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in
               Scientific Computing},
        publisher={Springer-Verlag},
        editor={H. Niederreiter and P. J.-S. Shiue},
        series={Lecture Notes in Statistics},
        volume={106},
	year={1995},
	pages={354--361}  }

@mastersthesis {rWEG95a,
	author = {S. Wegenkittl},
	title  = {Empirical Testing of Pseudorandom Number Generators},
	school = {University of Salzburg},
	year   = {1995} }

@inproceedings {rWEG96a,
   author    = {S. Wegenkittl and K. Entacher},
   title     = {On the relevance of splitting properties and
               the compound method in parallel applications
               of pseudorandom number generators},
   booktitle = {Proceedings of the international workshop
               Parallel Numerics '96},
   organization = {{CEI-PACT P}roject, {WP}5.1.2.1.2},
   year      = {1996},
   editor    = {Trobec, R. and Vajter\v{s}ic, M. and Zinterhof, P. and
                \v{S}ilc, J. and Robi\v{c} B.} }

@phdthesis {rWEG98a,
	author = {S. Wegenkittl},
	title  = {Generalized $\phi$-Divergence and Frequency
            Analysis in {M}arkov Chains},
	school = {University of Salzburg},
  note   = {\url{http://random.mat.sbg.ac.at/team/}},
	year   = {1998} }

@Article{rWEG99a,
  author = 	 {S. Wegenkittl and M. Matsumoto},
  title = 	 {Getting Rid of Correlations Among Pseudorandom Numbers:
                  Discarding Versus Tempering},
  journal = 	 {{ACM} Transactions on Modeling and Computer Simulation},
  year = 	 {1999},
  volume =	 {9},
  number =	 {3},
  pages =	 {282--294},
  optannote = 	 {Mersenne twister, ran_array}
}

@ARTICLE {rWEG01a,
	author="S. Wegenkittl",
	title={Entropy estimators and serial tests for ergodic chains},
	journal={IEEE Transactions on Information Theory},
	volume={47},
  number={6},
	year={2001},
	pages={2480--2489} }

@ARTICLE {rWEG02a,
	author="S. Wegenkittl",
	title={A generalized $\phi$-divergence for asymptotically multivariate
               normal models},
	journal={Journal of Multivariate Analysis},
	volume={83},
	year={2002},
	pages={288--302} }

@mastersthesis{rWEI94a,
	author = {A. Weingartner},
	title = {Nonlinear Congruential Pseudorandom Number Generators},
	school = {University of Salzburg},
	year = {1994} }

@ARTICLE {rWEY16a,
	author="H. Weyl",
	title={{\"U}ber die {G}leichverteilung von {Z}ahlen mod. {E}ins},
	journal={Math. Ann.},
	volume={77},
	year={1916},
	pages={313--352} }

@ARTICLE {rWIC82a,
	author="B. A. Wichmann and I. D. Hill",
	title="An Efficient and Portable Pseudo-random Number Generator",
	journal={Applied Statistics},
	volume={31},
	year={1982},
	pages={188--190},
	note={See also corrections and remarks in the same journal by Wichmann
	and Hill, {\bf 33} (1984) 123;  McLeod {\bf 34} (1985) 198--200; Zeisel
	{\bf 35} (1986) 89}  }

@ARTICLE {rWIC87a,
	author="B. A. Wichmann and I. D. Hill",
	title="Building a Random Number Generator",
	journal={Byte},
	volume={12},
	number={3},
	year={1987},
	pages={127--128} }

@ARTICLE {rWIK89a,
	author="R. S. Wikramaratna",
	title="{ACORN}---A New Method for Generating Sequences of
           Uniformly Distributed Pseudo-Random Numbers",
	journal={Journal of Computational Physics},
	volume={83},
	year={1989},
	pages={16--31} }

@article {rWIN93a,
   author    = {R. Winkler},
   title     = {Some Remarks on Pseudorandom Sequences},
   journal   = {Math. Slovaca},
   year      = {1993},
   volume    = {43},
   number    = {4},
   pages     = {493--512} }

@ARTICLE {rWOL83a,
	author="S. Wolfram",
	title="Statistical mechanics of cellular automata",
	journal={Rev. Modern Physics},
	year={1983},
	volume={55},
	pages={601--644} }

@ARTICLE {rWOL86a,
	author="S. Wolfram",
	title="Random Sequence Generation by Cellular Automata",
	journal={Advances in Applied Mathematics},
	year={1986},
	volume={7},
	pages={123--169} }

@BOOK{rWOL86b,
  author = "S. Wolfram",
  title  = "Theory and Applications of Cellular Automata",
  publisher = "World Scientific Publishing Co.",
  address = "Singapore",
  series= {Advanced Series on complex systems},
  volume = "1",
  year = "1986"}

@Article{rWU97a,
  author = 	 {P.-C. Wu},
  title = 	 {Multiplicative, Congruential Random Number
		  Generators with Multiplier $\pm 2^{k_1} \pm 2^{k_2}$
		  and Modulus $2^p-1$},
  journal = 	 {{ACM} Transactions on Mathematical Software},
  year = 	 {1997},
  volume =	 {23},
  number =	 {2},
  optmonth =	 {June},
  pages =	 {255--265}
}

@unpublished {rWU99a,
  author = 	 {P.-C. Wu},
  title = 	 {Multiplication-Free Multiple Recursive Random Number
                  Generators},
  Xjournal = 	 {{ACM} Transactions on ....},
  year = 	 {1999},
  note =         {manuscript},
}

@unpublished {rWU99b,
  author = 	 {P.-C. Wu},
  title = 	 {Random Number Generation with Primitive Pentanomials},
  Xjournal = 	 {{ACM} Transactions on Modeling and Computer Simulation},
  year = 	 {1999},
  note =         {manuscript},
}

@article{rWU06a,
 title = "Parallel use of multiplicative congruential random number generators",
 journal = "Computer Physics Communications",
 volume = "175",
 number = "1",
 pages = "25--29",
 year = "2006",
 doi = "10.1016/j.cpc.2004.08.009",
 url = "http://www.sciencedirect.com/science/article/pii/S0010465506001007",
 author = "Pei-Chi Wu and Kuo-Chan Huang",
 keywords = "Spectral test",
}

@ARTICLE {rYUE77a,
	author="C.-K. Yuen",
	title="Testing Random Number Generators by Walsh Transform",
	journal={{IEEE} Transactions on Computers},
	volume={C-26},
	number={4},
	year={1977},
	pages={329--333}  }

@book {rZAR72a,
	author = {S. K. Zaremba (Ed.)},
	title = {Applications of Number Theory to Numerical Analysis},
	publisher = {Academic Press},
        COTE = {QA241 Z37},
	year = {1972},
	address = {New York, NY}}

@ARTICLE {rZEI86a,
	author="H. Zeisel",
	title="A Remark on Algorithm AS 183.",
	journal={Applied Statistics},
	volume={35},
	year={1986},
	pages={89}  }

@ARTICLE {rZIF98a,
	author="R. M. Ziff",
	title="Four-Tap Shift-Register-Sequence Random-Number Generators",
	journal={Computers in Physics},
	volume={12},
	number={4},
	year={1998},
	pages={385--392}  }

@article {rZIN76a,
	author = {Zinterhof, P.},
	title = {{\"U}ber einige {A}bsch{\"a}tzungen bei der {A}pproximation
		von {F}unktionen mit {G}leichverteilungsmethoden},
	journal = {Sitzungsber. {\"O}sterr. Akad. Wiss. Math.-Natur. Kl. II},
	volume = {185},
	pages = {121--132},
	year = {1976},
	keywords = {diaphony},
	abstract = {first paper of diaphony; contains its definition;}
	}