2 title = "Comparison of Point Sets and Sequences for Quasi-Monte Carlo and for Random Number Generation",
4 author = "Pierre L'ecuyer",
8 crossref = "DBLP:conf/seta/2008",
9 bibsource = "DBLP, http://dblp.uni-trier.de",
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14 title = "Randomizing nonlinear maps via symbolic dynamics",
15 journal = "Physica A: Statistical Mechanics and its Applications",
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23 url = "http://www.sciencedirect.com/science/article/pii/S0378437108002318",
24 author = "L. De Micco and C.M. Gonz{\'a}lez and H.A. Larrondo and M.T. Martin and A. Plastino and O.A. Rosso",
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26 keywords1 = "Pseudo random number generators",
27 keywords2 = "Permutation entropy",
28 keywords3 = "Statistical complexity"
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32 title = "A family of enhanced Lehmer random number generators, with hyperplane suppression, and direct support for certain physical applications",
33 journal = "Computer Physics Communications",
40 doi = "10.1016/S0010-4655(97)00101-X",
41 url = "http://www.sciencedirect.com/science/article/pii/S001046559700101X",
42 author = "Iosif G. Dyadkin and Kenneth G. Hamilton",
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45 keywords2 = "Random number generators",
46 keywords3 = "Pseudorandom",
47 keywords4 = "Klein-Nishina",
48 keywords5 = "Neutron scattering",
49 keywords6 = "Nuclear geophysics",
50 keywords7 = "Well logging",
51 keywords8 = "Petroleum exploration"
54 @Electronic{ citeulike:867581,
55 abstract = "{Monte Carlo simulations are one of the major tools in statistical physics, complex system science, and other fields, and an increasing number of these simulations is run on distributed systems like clusters or grids. This raises the issue of generating random numbers in a parallel, distributed environment. In this contribution we demonstrate that multiple linear recurrences in finite fields are an ideal method to produce high quality pseudo-random numbers in sequential and parallel algorithms. Their known weakness (failure of sampling points in high dimensions) can be overcome by an appropriate delinearization that preserves all desirable properties of the underlying linear sequence.}",
56 archivePrefix = "arXiv",
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62 eprint = "cond-mat/0609584",
63 keywords = "distributed, monte-carlo, random, simulation",
65 posted-at = "2006-09-26 18:51:08",
67 title = "{Random Numbers for Large Scale Distributed Monte Carlo Simulation}",
68 url = "http://arxiv.org/abs/cond-mat/0609584",
72 @Article{ thecolourblue:1046,
73 abstract = "{The Wolff algorithm is now accepted as the best cluster-flipping Monte Carlo algorithm for beating ''critical slowing down.'' We show how this method can yield incorrect answers due to subtle correlations in ''high quality'' random number generators.}",
74 author = "A. M. Ferrenberg and D. P. Landau and Y. J. Wong",
75 doi = "10.1103/PhysRevLett.69.3382",
77 journal = "Physical Review Letters",
80 title = "{Monte Carlo simulations: Hidden errors from ``good'' random number generators}",
81 url = "http://link.aps.org/abstract/PRL/v69/p3382",
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87 comment = "Copyright (C) 2008 The American Physical Society; Please report any problems to prola@aps.org",
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102 doi = "10.1016/S0010-4655(99)00233-7",
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128 keywords2 = "Pseudo-random number generator shift register"
132 title = "A high speed, fully digital IC random number generator",
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180 title = "Le d{\'e}sordre des it{\'e}rations chaotiques et leur utilit{\'e} en s{\'e}curit{\'e} informatique",
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212 title = "Chaotic iterations versus Spread-spectrum: chaos and stego security",
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257 author = "D. D. Wheeler",
258 journal = "Cryptologia",
266 author = "Qianxue Wang and Christophe Guyeux and Jacques Bahi",
267 title = "A novel pseudo-random generator based on discrete chaotic iterations for cryptographic applications",
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292 @Article{ Zhou20093442,
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294 journal = "Information Sciences",
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340 keywords2 = "Ergodic theory",
341 keywords3 = "Invariant measure",
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345 @Misc{ Robshaw95streamciphers,
346 author = "M. J. B. Robshaw",
347 title = "Stream Ciphers",
352 author = "Qianxue Wang and Jacques Bahi and Christophe Guyeux and Xaole Fang",
353 title = "Randomness quality of {CI} chaotic generators. Application to Internet security",
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370 publisher = "Redwood City: Addison-Wesley",
372 author = "R. L. Devaney",
375 timestamp = "27/01/2008"
379 author = "Jacques Bahi and Christophe Guyeux",
380 title = "Topological chaos and chaotic iterations, application to Hash functions",
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387 journal = "Neural Networks (IJCNN2010)",
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395 title = "Discrete Iterations: A Metric Study",
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398 author = "F. Robert",
400 series = "Springer Series in Computational Mathematics",
402 timestamp = "17/02/2008"
405 @InProceedings{ guyeuxTaiwan10,
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411 address = "Taiyuan, China",
421 author = "J. Banks and J. Brooks and G. Cairns and P. Stacey",
422 title = "On Devaney's Definition of Chaos",
423 journal = "Amer. Math. Monthly",
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434 author = "Jacques Bahi and Xiaole Fang and Christophe Guyeux and Qianxue Wang",
435 title = "Evaluating Quality of Chaotic Pseudo-Random Generators. Application to Information Hiding",
436 journal = "IJAS, International Journal On Advances in Security",
441 note = "Accepted manuscript. To appear",
442 classement = "ACLNI",
443 domainehal = "INFO:INFO\_DC, INFO:INFO\_CR, INFO:INFO\_MO",
445 impact-factor = "\#",
451 author = "Jacques Bahi",
452 title = "Boolean totally asynchronous iterations",
453 journal = "Int. Journal of Mathematical Algorithms",
458 timestamp = "17/02/2008"
461 @Article{ Ladd20092140,
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479 journal = "Bifurcation an Chaos",
480 pages = "3119--3151",
486 @InProceedings{ Barker05recommendationfor,
487 title = "Recommendation for Key Management Part 1: General",
488 booktitle = "NIST Special Publication 800-57, August 2005, National Institute of Standards and Technology. Available at http://csrc.nist.gov/publications/nistpubs/800-57/SP800-57-Part1.pdf",
489 author = "Elaine Barker and William Barker and William Burr and William Polk and Miles Smid",
494 title = "The Art of Computer Programming, Volume 2: Seminumerical Algorithms",
495 author = "D. E. Knuth",
496 editor = "Reading and Mass and {third edition}",
497 publisher = "Addison-Wesley",
500 timestamp = "2010.02.05"
503 @Article{ Gonzalez2005281,
504 title = "Statistical complexity measure of pseudorandom bit generators",
505 journal = "Physica A: Statistical Mechanics and its Applications",
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513 url = "http://www.sciencedirect.com/science/article/pii/S0378437105001779",
514 author = "C.M. Gonzalez and H.A. Larrondo and O.A. Rosso",
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519 @Article{ Schuster1984,
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521 author = "H. G. Schuster",
522 journal = "Physik Verlag",
526 timestamp = "2009.01.31"
530 title = "Discreteness and Continuity in Problems of Chaotic Dynamics ",
532 journal = "Translations of Mathematical Monographs",
537 @Article{ Binder1986,
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539 author = "P. M. Binder and R. V. Jensen",
540 journal = "Physical Review A ",
541 pages = "4460--4463",
548 title = "Evidence of the correlation between positive Lyapunov exponents and good chaotic random number sequences",
549 author = "L. Po-Han and C. Yi and P. Soo-Chang and C. Yih-Yuh",
550 journal = "Computer Physics Communications",
555 timestamp = "2009.01.22"
559 title = "A new hybrid nonlinear congruential number generator based on higher functional power of logistic maps",
560 author = "S. Cecen and R. M. Demirer and C. Bayrak",
561 journal = "Chaos, Solitons and Fractals",
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569 @Article{ Falcioni2005,
570 title = "Properties making a chaotic system a good Pseudo Random Number Generator",
571 author = "M. Falcioni and L. Palatella and S. Pigolotti and A. Vulpiani",
573 volume = "nlin/0503035",
576 timestamp = "2009.01.26"
579 @InCollection{ Zhu200675,
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583 editor = "Wenjun Zeng and Heather Yu and Ching-Yung Lin",
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594 @Article{ PhysRevLett.64.821,
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596 author = "Louis Pecora and Thomas Carroll",
597 journal = "Physical Review Letters",
603 @InProceedings{ bgw10:ip,
604 author = "Jacques Bahi and Christophe Guyeux and Qianxue Wang",
605 title = "A Pseudo Random Numbers Generator Based on Chaotic Iterations. Application to Watermarking",
606 booktitle = "WISM 2010, Int. Conf. on Web Information Systems and Mining",
610 url = "http://dx.doi.org/10.1007/978-3-642-16515-3_26",
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624 journal = "IEEE Transactions on Multimedia",
626 note = "Accepted for future publication Multimedia"
629 @Article{ Matthews:1984,
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640 url = "http://portal.acm.org/citation.cfm?id=67071.67073",
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652 title = "Class of Trustworthy Pseudo Random Number Generators",
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729 title = "On Independence and Sensitivity of Statistical Randomness Tests",
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732 volume = "LNCS 5203",
735 timestamp = "2010.03.29"
739 title = "Handbook of applied cryptography",
740 author = "A. Menezes and Paul C. van Oorschot and S. Vanstone",
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751 journal = "Fast Software Encryption",
755 timestamp = "2009.10.28"
759 author = "S. M. Ulam and J. V. Neumann",
760 title = "On combination of stochastic and deterministic processes",
761 journal = "Amer. Math. Soc.",
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777 timestamp = "2009.10.28"
781 title = "A statistical test suite for random and pseudorandom number generators for cryptographic applications",
782 author = "Andrew Rukhin and Juan Soto and James Nechvatal and Elaine Barker and Stefan Leigh and Mark Levenson and David Banks and Alan Heckert and James Dray and San Vo and Andrew Rukhin and Juan Soto and Miles Smid and Stefan Leigh and Mark Vangel and Alan Heckert and James Dray and Lawrence E Bassham Iii",
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801 journal = "Journal of Algorithms \& Computational Technology",
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887 author = "R. Brown and LO. Chua",
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