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@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 [email protected]})},
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 {rAKO91a,
AUTHOR="N. Z. Akopov and G. K. Savvidy and N. G. Ter-Arutyuntan Savvidy",
TITLE="Matrix Generators for Pseudorandom Numbers",
journal="Journal of Computational Physics",
volume ={97},
pages = {573--579},
YEAR={1991} }
@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{rAND15a,
author = "Timothy D. Andersen and Michael Mascagni",
title = "Memory efficient lagged-{Fibonacci} random number
generators for {GPU} supercomputing",
journal = "Monte Carlo Methods and Applications",
volume = "21",
number = "2",
pages = "163--174",
year = "2015",
}
@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} }
@phdthesis {rARN10a,
author = {J. Arndt},
title = {Generating Random Permutations},
year = {2010},
school = {Australian National University},
\url = {www.jjj.de/pub/arndt-rand-perm-thesis.pdf}}
@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} }
@article{rBAL11a,
author = "Baldeaux, Jan and Dick, Josef",
title = "A construction of polynomial lattice rules with small gain coefficients",
journal = "Numerische Mathematik",
volume = "119",
pages = "271--297",
year = "2011",
}
@article{rBAL11b,
author = "Baldeaux, J. and Dick, J. and Greslehner, J. and Pillichshammer, F.",
title = "Construction Algorithms for Higher Order Polynomial Lattice Rules",
journal = "Journal of Complexity",
volume = "27",
pages = "281--299",
year = "2011",
}
@article{rBAL12a,
author = "Baldeaux, Jan and Dick, Josef and Leobacher, Gunther and Nuyens, Dirk and Pillichshammer, Friedrich",
title = "Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules",
journal = "Numerical Algorithms",
volume = "59",
number = "3",
pages = "403--431",
year = "2012",
Xdoi = "10.1007/s11075-011-9497-y",
Xurl = "https://lirias.kuleuven.be/handle/123456789/332769",
}
@INPROCEEDINGS{rBAN12a,
author={D. S. Banerjee and A. K. Bahl and K. Kothapalli},
booktitle={IEEE 26th International Parallel and Distributed Processing
Symposium Workshops PhD Forum (IPDPSW 2012)},
title={An On-Demand Fast Parallel Pseudo Random Number Generator with Applications},
year={2012},
pages={1703--1711}
}
@article{rBAR06a,
author={L. Y. Barash and L. N. Shchur},
title={Periodic Orbits of the Ensemble of {Sinai-Arnold} Cat Maps and Pseudorandom Number Generation},
journal={Physical Review {E}},
volume={73},
year={2006},
pages={036701}
}
@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 = {}
}
@techreport {rBAR06c,
old= {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}
}
@article{rBAR11a,
author={L. Y. Barash and L. N. Shchur},
title={{RNGSSELIB}: Program Library for Random Number Generation:
{SSE2} Realization},
journal={Computer Physics Communications},
volume={182},
number={7},
year={2011},
pages={1518--1527}
}
@article{rBAR11b,
author={L. Y. Barash},
title={Applying Dissipative Dynamical Systems to Pseudorandom Number Generation:
Equidistribution Property and Statistical Independence of Bits at Distances up to Logarithm
of Mesh Size},
journal={Europhysics Letters},
volume={95},
year={2011},
pages={10003}
}
@article{rBAR12a,
author={L. Y. Barash and L. N. Shchur},
title={Generation of random numbers and parallel random number
streams for {Monte Carlo} simulations},
journal={Modeling and Analysis of Information Systems},
note = {In Russian},
volume={19},
number={2},
year={2012},
pages={145--161}
}
@article{rBAR13a,
author={L. Y. Barash and L. N. Shchur},
title={{RNGSSELIB}: Program Library for Random Number Generation:
More Generators, Parallel Streams of Random Numbers, and {Fortran} Compatibility},
journal={Computer Physics Communications},
volume={184},
year={2013},
pages={2367--2369}
}
@article{rBAR14a,
author={L. Y. Barash and L. N. Shchur},
title={{PRAND}: {GPU} Accelerated Parallel Random Number Generation Library:
Using Most Reliable Algorithms and
Applying Parallelism of Modern {GPUs} and {CPUs}},
journal={Computer Physics Communications},
volume={185},
number={4},
year={2014},
pages={1343--1353}
}
@techreport {rBAR15a,
author = {Elaine Barker and John Kelsey},
title = {Recommendation for Random Number Generation Using
Deterministic Random Bit Generators},
institution = {National Institute of Standards and Technology ({NIST})},
address = {Gaithersburg, MD, USA},
year = {2015},
type = {{NIST} Special Publication 800-90A, Revision 1},
note ={See \url{http://csrc.nist.gov/publications/drafts/800-90/sp800-90aR1.pdf}} }
Xpages = {} }
@techreport {rBAR16c,
author = {Elaine Barker and John Kelsey},
title = {Recommendation for Random Bit Generator {(RBG)} Constructions},
institution = {National Institute of Standards and Technology ({NIST})},
address = {Gaithersburg, MD, USA},
year = {2016},
type = {{NIST} Special Publication 800-90C, Second Draft},
note ={See \url{http://csrc.nist.gov/publications/drafts/800-90/sp800-90c_second_draft.pdf}} }
Xpages = {} }
@techreport{rBAS10a,
author = {{Bassham III}, Lawrence E. and Rukhin, Andrew L. and Soto, Juan and Nechvatal, James R. and Smid, Miles E. and Barker, Elaine B. and Leigh, Stefan D. and Levenson, Mark and Vangel, Mark and Banks, David L. and Heckert, Nathanael Alan and Dray, James F. and Vo, San},
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},
type = {{NIST} Special Publication 800-22, Revision 1a},
year = {2010},
}
@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}}
}
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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}
}
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AUTHOR="P. Beauchemin and G. Brassard and C. Cr\'epeau
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TITLE="The Generation of Random Numbers That Are Probably Prime",
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VOLUME={1},
YEAR={1988},
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AUTHOR="J. Beck and P. Hellekalek and F. J. Hickernell and G. Larcher
and P. L'Ecuyer and H. Niederreiter and S. Tezuka and C. Xing",
TITLE={Random and quasi-random point sets},
PUBLISHER="Springer",
YEAR={2012},
VOLUME={138},
SERIES={Lecture Notes in Statistics} }
@unpublished{rBEE17a,
author = {N. H. F. Beebe},
title = {A Bibliography of Pseudorandom Number
Generation, Sampling, Selection, Distribution, and Testing},
year = {2017},
address = {Department of Mathematics, University of Utah},
note = {\url{http://www.math.utah.edu/~beebe/}},
}
@unpublished{rBEE21a,
author = {N. H. F. Beebe},
title = {A Bibliography of Pseudorandom Number
Generation, Sampling, Selection, Distribution, and Testing},
year = {2021},
address = {Department of Mathematics, University of Utah},
note = {\url{http://ftp.math.utah.edu/pub/tex/bib/prng.html}},
}
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author={G. Beliakov and M. Johnstone and D. Creighton and T. Wilkin},
title={An efficient implementation of {Bailey and Borwein's} algorithm for
parallel random number generation on graphics processing units},
year={2013},
journal={Computing},
volume={95},
number={4},
publisher={Springer Vienna},
pages={309--326}
}
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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},
}
@inproceedings{rBEL13b,
author = {A. Belsare and S. Liu and S. Khatri},
title = {{GPU} implementation of a scalable non-linear congruential
generator for cryptography applications},
booktitle = {Proceedings of the 23rd ACM international conference on
Great lakes symposium on VLSI},
series = {GLSVLSI '13},
year = {2013},
pages = {89--94},
publisher = {ACM}
}
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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} }
@Article{rBEZ15a,
author = "Dmitriy Beznosko and T. Beremkulov and A. Duspayev and
A. Iakovlev and A. Tailakov and M. Yessenov",
title = "A Physical Principle for Fast and Miniature Random
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journal = "Journal of Advances in Physics",
volume = "7",
number = "3",
pages = "1970--1975",
year = "2015",
keywords = "Geiger mode; hardware generator; photo detector; Random numbers",
}
@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}
}
@ARTICLE {rBLA76a,
AUTHOR="J. M. Blair and C. A. Edwards and J. H. Johnson",
TITLE="Rational {C}hebyshev Approximations for the Inverse of the
Error Function",
JOURNAL={Mathematics of Computation},
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YEAR={1976},
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@unpublished{rBLA18a,
author = {D. BlackmanBlackman and S. Vigna},
title = {Scrambled Linear Pseudorandom Number Generators},
Xjournal = {},
Xvolume = {},
year = {2018},
url = {http://arxiv.org/abs/1805.01407},
note = {Manuscript},
Xeprint = {1805.01407},
timestamp = {Mon, 04 Jun 2018 17:53:36 +0200},
}
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author = {D. Blackman and S. Vigna},
title = {Scrambled Linear Pseudorandom Number Generators},
journal = {ACM Transactions on mathematical Software},
volume = {47},
number = {4},
pages = {Article 36},
year = {2021},
url = {https://doi.org/10.1145/3460772},
Xeprint = {1805.01407},
}
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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
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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
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AUTHOR="M. Blum",
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JOURNAL={Combinatorica},
YEAR={1986},
VOLUME={6},
NUMBER={2},
PAGES={97--108}}
@UNPUBLISHED {rBOP88a,
AUTHOR="R. B. Boppana and R. Hirschfeld",
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NOTE={Manuscript},
YEAR={1988} }
@ARTICLE {rBOR83a,
AUTHOR="I. Borosh and H. Niederreiter",
YEAR={1983},
TITLE="Optimal multipliers for pseudo-random number generation by
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@InProceedings{rBOT15b,
author = "Z. I. Botev and P. L'Ecuyer",
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booktitle = {Proceedings of the 2015 Winter Simulation Conference},
OPTeditor = {},
year = {2015},
publisher = {IEEE Press},
pages = {380--391},
OPTannote = {}
}
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author={Zdravko I. Botev and Michel Mandjes and Ad Ridder},
title={Tail distribution of the maximum of correlated {Gaussian} random variables},
pages={633--642},
booktitle={Proceedings of the 2015 Winter Simulation Conference},
publisher = {IEEE Press},
year={2015},
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JOURNAL={ACM Transactions on Mathematical Software},
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YEAR={1988},
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JOURNAL={ACM Transactions on Modeling and Computer Simulation},
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YEAR={1992},
PAGES={195--213} }
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AUTHOR="P. Bratley and B. L. Fox and H. Niederreiter",
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Low-discrepancy Sequences",
JOURNAL={ACM Transactions on Mathematical Software},
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YEAR={1994},
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@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},
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booktitle = {{GPU} Computing Gems Emerald Edition},
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publisher = {Morgan Kaufmann},
year = {2011} }
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VOLUME = {72},
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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},
}
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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",
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YEAR={2004},
NOTE={\url{http://web.comlab.ox.ac.uk/oucl/work/richard.brent/random.html}},
}
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AUTHOR="R. P. Brent",
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YEAR={1949} }
@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",
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VOLUME={1},
YEAR={1979},
PAGES={691--695} }
@inproceedings{rBUC05a,
author = {Bucci, Marco and Luzzi, Raimondo},
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booktitle = {Cryptographic Hardware and Embedded Systems---CHES 2005},
editors = {J, R. Rao and B. Sunar},
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pages = {147--156},
series = {Lecture Notes in Computer Science},
volume = {3659},
isbn = {978-3-540-28474-1},
}
In: Rao J.R., Sunar B. (eds) Cryptographic Hardware and Embedded Systems – CHES 2005
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AUTHOR = "P. Bundschuh and Y. Zhu",
TITLE = "A method for exact calculation of the discrepancy of
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PAGES = "~115--133",
YEAR = 1993 }
@Article{rCAR15a,
author = "Claude Carlet and Deng Tang",
title = "Enhanced {Boolean} functions suitable for the filter
model of pseudo-random generator",
journal = "Designs, Codes and Cryptography",