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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13 @Article{ Zaher20113721,
14 title = "On the design of chaos-based secure communication systems",
15 journal = "Communications in Nonlinear Science and Numerical Simulation",
22 doi = "10.1016/j.cnsns.2010.12.032",
23 url = "http://www.sciencedirect.com/science/article/pii/S1007570411000037",
24 author = "Ashraf A. Zaher and Abdulnasser Abu-Rezq",
25 keywords = "Chaos-based secure communication",
26 keywords1 = "Chaos synchronization",
27 keywords2 = "Cryptography",
28 keywords3 = "Parameter identification",
29 keywords4 = "Lyapunov functions"
33 title = "A chaotic cryptography scheme for generating short ciphertext",
34 journal = "Physics Letters A",
41 doi = "10.1016/S0375-9601(03)00259-7",
42 url = "http://www.sciencedirect.com/science/article/pii/S0375960103002597",
43 author = "Kwok-Wo Wong and Sun-Wah Ho and Ching-Ki Yung",
45 keywords1 = "Cryptography",
46 keywords2 = "Logistic map"
49 @Article{ Roland2001429,
50 title = "Use of chaotic dynamical systems in cryptography",
51 journal = "Journal of the Franklin Institute",
58 doi = "10.1016/S0016-0032(00)00087-9",
59 url = "http://www.sciencedirect.com/science/article/pii/S0016003200000879",
60 author = "Roland and Schmitz",
61 keywords = "Cryptography",
66 title = "Cryptography with chaos",
67 journal = "Physics Letters A",
74 doi = "10.1016/S0375-9601(98)00086-3",
75 url = "http://www.sciencedirect.com/science/article/pii/S0375960198000863",
76 author = "M.S. and Baptista",
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83 @Article{ DeMicco20083373,
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92 doi = "10.1016/j.physa.2008.02.037",
93 url = "http://www.sciencedirect.com/science/article/pii/S0378437108002318",
94 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",
95 keywords = "Symbolic dynamics",
96 keywords1 = "Pseudo random number generators",
97 keywords2 = "Permutation entropy",
98 keywords3 = "Statistical complexity"
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102 title = "A family of enhanced Lehmer random number generators, with hyperplane suppression, and direct support for certain physical applications",
103 journal = "Computer Physics Communications",
110 doi = "10.1016/S0010-4655(97)00101-X",
111 url = "http://www.sciencedirect.com/science/article/pii/S001046559700101X",
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114 keywords1 = "Random numbers",
115 keywords2 = "Random number generators",
116 keywords3 = "Pseudorandom",
117 keywords4 = "Klein-Nishina",
118 keywords5 = "Neutron scattering",
119 keywords6 = "Nuclear geophysics",
120 keywords7 = "Well logging",
121 keywords8 = "Petroleum exploration"
124 @Electronic{ citeulike:867581,
125 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.}",
126 archivePrefix = "arXiv",
127 author = "Heiko Bauke and Stephan Mertens",
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132 eprint = "cond-mat/0609584",
133 keywords = "distributed, monte-carlo, random, simulation",
135 posted-at = "2006-09-26 18:51:08",
137 title = "{Random Numbers for Large Scale Distributed Monte Carlo Simulation}",
138 url = "http://arxiv.org/abs/cond-mat/0609584",
142 @Article{ thecolourblue:1046,
143 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.}",
144 author = "A. M. Ferrenberg and D. P. Landau and Y. J. Wong",
145 doi = "10.1103/PhysRevLett.69.3382",
147 journal = "Physical Review Letters",
150 title = "{Monte Carlo simulations: Hidden errors from ``good'' random number generators}",
151 url = "http://link.aps.org/abstract/PRL/v69/p3382",
154 citeulike-article-id = "7197366",
155 citeulike-linkout-0 = "http://dx.doi.org/10.1103/PhysRevLett.69.3382",
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157 comment = "Copyright (C) 2008 The American Physical Society; Please report any problems to prola@aps.org",
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165 journal = "Computer Physics Communications",
172 doi = "10.1016/S0010-4655(99)00233-7",
173 url = "http://www.sciencedirect.com/science/article/pii/S0010465599002337",
174 author = "Jorge A. Gonzalez and Ramiro Pino",
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202 title = "A high speed, fully digital IC random number generator",
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211 url = "http://www.sciencedirect.com/science/article/pii/S1434841111001713",
212 author = "Ulkuhan Guler and Salih Ergun",
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219 title = "The design of a truly random monolithic noise generator",
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228 url = "http://www.sciencedirect.com/science/article/pii/S0026269284800683",
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232 @Article{ Vadim2011692,
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241 doi = "10.1016/j.cpc.2010.12.008",
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262 @PhDThesis{ GuyeuxThese10,
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264 title = "Le d{\'e}sordre des it{\'e}rations chaotiques et leur utilit{\'e} en s{\'e}curit{\'e} informatique",
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272 title = "The Frick Collection, http://www.frick.org/",
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339 @Article{ Wheeler1989,
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341 author = "D. D. Wheeler",
342 journal = "Cryptologia",
350 author = "Qianxue Wang and Christophe Guyeux and Jacques Bahi",
351 title = "A novel pseudo-random generator based on discrete chaotic iterations for cryptographic applications",
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376 @Article{ Zhou20093442,
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410 @Article{ Behnia20113455,
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421 author = "S. Behnia and A. Akhavan and A. Akhshani and A. Samsudin",
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423 keywords1 = "Pseudo random sequence",
424 keywords2 = "Ergodic theory",
425 keywords3 = "Invariant measure",
426 keywords4 = "Perron--Frobenius operator"
429 @Misc{ Robshaw95streamciphers,
430 author = "M. J. B. Robshaw",
431 title = "Stream Ciphers",
436 author = "Qianxue Wang and Jacques Bahi and Christophe Guyeux and Xaole Fang",
437 title = "Randomness quality of {CI} chaotic generators. Application to Internet security",
438 booktitle = "INTERNET'2010. The 2nd Int. Conf. on Evolving Internet",
441 address = "Valencia, Spain",
443 publisher = "IEEE seccion ESPANIA",
444 journal = "INTERNET10",
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453 title = "An Introduction to Chaotic Dynamical Systems",
454 publisher = "Redwood City: Addison-Wesley",
456 author = "R. L. Devaney",
459 timestamp = "27/01/2008"
463 author = "Jacques Bahi and Christophe Guyeux",
464 title = "Topological chaos and chaotic iterations, application to Hash functions",
465 booktitle = "WCCI'10, IEEE World Congress on Computational Intelligence",
468 address = "Barcelona, Spain",
471 journal = "Neural Networks (IJCNN2010)",
474 owner = "christophe",
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479 title = "Discrete Iterations: A Metric Study",
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482 author = "F. Robert",
484 series = "Springer Series in Computational Mathematics",
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489 @InProceedings{ guyeuxTaiwan10,
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491 title = "Improving random number generators by chaotic iterations. Application in data hiding",
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494 pages = "V13--643--V13--647",
495 address = "Taiyuan, China",
505 author = "J. Banks and J. Brooks and G. Cairns and P. Stacey",
506 title = "On Devaney's Definition of Chaos",
507 journal = "Amer. Math. Monthly",
511 __markedentry = "[guyeux]",
514 timestamp = "27/01/2008"
518 author = "Jacques Bahi and Xiaole Fang and Christophe Guyeux and Qianxue Wang",
519 title = "Evaluating Quality of Chaotic Pseudo-Random Generators. Application to Information Hiding",
520 journal = "IJAS, International Journal On Advances in Security",
525 note = "Accepted manuscript. To appear",
526 classement = "ACLNI",
527 domainehal = "INFO:INFO\_DC, INFO:INFO\_CR, INFO:INFO\_MO",
529 impact-factor = "\#",
535 author = "Jacques Bahi",
536 title = "Boolean totally asynchronous iterations",
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545 @Article{ Ladd20092140,
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556 url = "http://www.sciencedirect.com/science/article/pii/S0010465509001994",
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561 title = "On the dynamical degradation of digital piecewise linear chaotic maps",
562 author = "S. Li and G. Chen and X. Mou",
563 journal = "Bifurcation an Chaos",
564 pages = "3119--3151",
570 @InProceedings{ Barker05recommendationfor,
571 title = "Recommendation for Key Management Part 1: General",
572 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",
573 author = "Elaine Barker and William Barker and William Burr and William Polk and Miles Smid",
578 title = "The Art of Computer Programming, Volume 2: Seminumerical Algorithms",
579 author = "D. E. Knuth",
580 editor = "Reading and Mass and {third edition}",
581 publisher = "Addison-Wesley",
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703 url = "http://www.sciencedirect.com/science/article/pii/S0378437105001779",
704 author = "C.M. Gonzalez and H.A. Larrondo and O.A. Rosso",
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706 keywords1 = "Statistical complexity"
709 @Article{ Schuster1984,
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711 author = "H. G. Schuster",
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716 timestamp = "2009.01.31"
720 title = "Discreteness and Continuity in Problems of Chaotic Dynamics ",
722 journal = "Translations of Mathematical Monographs",
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730 journal = "Physical Review A ",
731 pages = "4460--4463",
738 title = "Evidence of the correlation between positive Lyapunov exponents and good chaotic random number sequences",
739 author = "L. Po-Han and C. Yi and P. Soo-Chang and C. Yih-Yuh",
740 journal = "Computer Physics Communications",
745 timestamp = "2009.01.22"
749 title = "A new hybrid nonlinear congruential number generator based on higher functional power of logistic maps",
750 author = "S. Cecen and R. M. Demirer and C. Bayrak",
751 journal = "Chaos, Solitons and Fractals",
756 timestamp = "2009.12.16"
759 @Article{ Falcioni2005,
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761 author = "M. Falcioni and L. Palatella and S. Pigolotti and A. Vulpiani",
763 volume = "nlin/0503035",
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771 booktitle = "Multimedia Security Technologies for Digital Rights Management",
772 author = "Bin B. Zhu",
773 editor = "Wenjun Zeng and Heather Yu and Ching-Yung Lin",
774 publisher = "Academic Press",
775 address = "Burlington",
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796 booktitle = "WISM 2010, Int. Conf. on Web Information Systems and Mining",
800 url = "http://dx.doi.org/10.1007/978-3-642-16515-3_26",
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816 note = "Accepted for future publication Multimedia"
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930 author = "A. Menezes and Paul C. van Oorschot and S. Vanstone",
932 publisher = "CRC Press",
935 timestamp = "2010.04.13"
938 @Article{ Jenkins1996,
939 author = "R. J. Jenkins",
941 journal = "Fast Software Encryption",
945 timestamp = "2009.10.28"
949 author = "S. M. Ulam and J. V. Neumann",
950 title = "On combination of stochastic and deterministic processes",
951 journal = "Amer. Math. Soc.",
956 timestamp = "2009.01.27"
959 @Article{ Marsaglia2003,
960 author = "G. Marsaglia",
961 title = "Xorshift RNGs",
962 journal = "Journal of Statistical Software",
967 timestamp = "2009.10.28"
971 title = "A statistical test suite for random and pseudorandom number generators for cryptographic applications",
972 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",
976 @Misc{ Marsaglia1996,
977 title = "Diehard Battery of Tests of Randomness",
978 author = "G. Marsaglia",
979 howpublished = "Florida State University",
981 keywords = "bibtex-import",
982 citeulike-article-id = "1123733",
983 posted-at = "2007-02-26 22:01:41",
988 title = "Hash functions using chaotic iterations",
989 author = "Christophe Guyeux and Jacques Bahi",
990 publisher = "Multi Science Publishing",
991 journal = "Journal of Algorithms \& Computational Technology",
997 timestamp = "2009.07.12"
1000 @InBook{ HabutsuNSM91,
1001 title = "A secret key cryptosystem by iterating a chaotic map",
1002 booktitle = "Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques",
1003 series = "EUROCRYPT'91",
1004 author = "Toshiki Habutsu and Yoshifumi Nishio and Iwao Sasase and Shinsaku Mori",
1005 publisher = "Springer-Verlag",
1006 location = "Brighton, UK",
1007 address = "Berlin, Heidelberg",
1010 isbn = "3-540-54620-0",
1011 url = "http://portal.acm.org/citation.cfm?id=1754868.1754883",
1016 @Article{ james1995,
1017 title = "Chaos and randomness",
1018 author = "F. James",
1019 journal = "Chaos, Solitons \& Fractals",
1025 @Article{ Djema2009,
1026 title = "Discrete time normal form for left invertibility problem ",
1027 author = "M. Djema and J.P. Barbot and I. Belmouhoub",
1028 journal = "European Journal of Control ",
1029 pages = "194----204 ",
1034 @Article{ Behnia2008408,
1035 title = "A novel algorithm for image encryption based on mixture of chaotic maps",
1036 journal = "Chaos, Solitons \& Fractals",
1043 doi = "10.1016/j.chaos.2006.05.011",
1044 url = "http://www.sciencedirect.com/science/article/pii/S0960077906004681",
1045 author = "S. Behnia and A. Akhshani and H. Mahmodi and A. Akhavan"
1048 @Article{ Belmouhoub2005,
1049 title = "Observability quadratic normal form for discrete-time systems ",
1050 author = "I. Belmouhoub and M. Djemai and J.-P. Barbot",
1051 journal = "Automatic Control, IEEE Transactions on ",
1052 pages = "1031--1038",
1060 title = "Starting with parabolas: an introduction to chaotic dynamics",
1062 publisher = "Shanghai China: Shanghai Scientific and Technological Education Publishing House ",
1066 @Article{ Fridrich98symmetricciphers,
1067 author = "Jiri Fridrich",
1068 title = "Symmetric Ciphers Based On Two-Dimensional Chaotic Maps",
1069 journal = "Int. J. Bifurcation and Chaos",
1072 pages = "1259--1284"
1075 @Article{ Brown1996,
1076 title = "Clarifying chaos: examples and counterexamples ",
1077 author = "R. Brown and LO. Chua",
1078 journal = "International Journal of Bifurcation and Chaos",
1086 title = "Randomness",
1087 author = "Deborah J. Bennett",
1088 publisher = "Harvard University Press",
1092 @Book{ Kallenberg1986,
1093 title = "Random Measures, 4th ed.",
1094 author = "Olav Kallenberg",
1095 publisher = "Academic Press",
1096 address = "New York, London; Akademie-Verlag, Berlin,",
1097 edition = "MR0854102",
1102 title = "Numerical Recipes: The Art of Scientific Computing (3rd ed.)",
1103 series = "Chapter 7. Random Numbers",
1104 author = "William H. Press",
1105 publisher = "New York: Cambridge University Press",
1109 @InCollection{ Pashley2010184,
1110 title = "Generating Random Numbers",
1111 editor = "Editors-in-Chief: Penelope Peterson and Eva Baker and Barry McGaw",
1112 booktitle = "International Encyclopedia of Education (Third Edition)",
1113 publisher = "Elsevier",
1114 edition = "Third Edition",
1118 isbn = "978-0-08-044894-7",
1119 doi = "10.1016/B978-0-08-044894-7.01375-0",
1120 url = "http://www.sciencedirect.com/science/article/pii/B9780080448947013750",
1121 author = "P.J. Pashley and A. Amodeo",
1122 keywords = "Composite generator",
1123 keywords1 = "Deterministic generation",
1124 keywords10 = "Shuffling",
1125 keywords11 = "Simulation",
1126 keywords12 = "Tests of randomness",
1127 keywords13 = "Uniform variates",
1128 keywords2 = "Generation efficiency",
1129 keywords3 = "Multiplicative congruential generator",
1130 keywords4 = "Physical generation",
1131 keywords5 = "Portability",
1132 keywords6 = "Random number generator",
1133 keywords7 = "Random sequences",
1134 keywords8 = "Reproducibility",
1135 keywords9 = "Sequence period"
1139 title = "Random Sampling Numbers",
1140 author = "L.H.C. Tippett",
1146 @Article{ Danger2009,
1147 title = "High speed true random number generator based on open loop structures in FPGAs",
1148 author = "J.-L. Danger and S. Guilley and P. Hoogvorst",
1149 publisher = "Microelectronics Journal",
1150 journal = "Microelectronics Journal",
1151 pages = "1650--1656",
1154 year = "November 2009"
1157 @Article{ JarosawAdam2011,
1158 title = "Generating and using truly random quantum states in Mathematica",
1159 journal = "Computer Physics Communications",
1166 doi = "10.1016/j.cpc.2011.08.002",
1167 url = "http://www.sciencedirect.com/science/article/pii/S0010465511002748",
1168 author = "Jaros{\l}aw Adam and Miszczak",
1169 keywords = "Random density matrices",
1170 keywords1 = "Quantum information",
1171 keywords2 = "Quantum random number generators"
1174 @Article{ Tan20091618,
1175 title = "Randomness quality of permuted pseudorandom binary sequences",
1176 journal = "Mathematics and Computers in Simulation",
1179 pages = "1618--1626",
1183 doi = "10.1016/j.matcom.2008.07.012",
1184 url = "http://www.sciencedirect.com/science/article/pii/S0378475408002486",
1185 author = "Syn Kiat Tan and Sheng-Uei Guan",
1186 keywords = "Pseudorandom number generation",
1187 keywords1 = "DIEHARD testing",
1188 keywords2 = "Linear finite state machine",
1189 keywords3 = "Cellular automata"
1192 @InCollection{ StDenis200691,
1193 title = "Chapter 3 - Random Number Generation",
1195 booktitle = "Cryptography for Developers",
1196 publisher = "Syngress",
1198 address = "Burlington",
1201 isbn = "978-1-59749-104-4",
1202 doi = "10.1016/B978-159749104-4/50006-6",
1203 url = "http://www.sciencedirect.com/science/article/pii/B9781597491044500066",
1204 author = "Tom St Denis and Simon Johnson"
1207 @InBook{ Klapper1994,
1208 title = "2-adic shift registers, in: R. Anderson (Ed.)
1209 , Fast Software Encryption",
1213 publisher = "Lecture
1214 Notes in Computer Science
1222 author = "Lenore Blum and Manuel Blum and Mike Shub",
1223 title = "A Simple Unpredictable Pseudo-Random Number Generator",
1224 journal = "SIAM J. Comput.",
1229 bibsource = "DBLP, http://dblp.uni-trier.de",
1230 ee = "http://dx.doi.org/10.1137/0215025"
1234 author = "Niels Ferguson and Bruce Schneier",
1235 title = "Practical cryptography",
1236 publisher = "Wiley",
1238 isbn = "978-0-471-22357-3",
1239 pages = "I--XX, 1--410",
1240 bibsource = "DBLP, http://dblp.uni-trier.de"
1243 @Article{ Matsumoto1998,
1244 author = "Makoto Matsumoto and Takuji Nishimura",
1245 title = "Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator",
1246 journal = "ACM Trans. Model. Comput. Simul.",
1252 url = "http://doi.acm.org/10.1145/272991.272995",
1253 doi = "http://doi.acm.org/10.1145/272991.272995",
1255 address = "New York, NY, USA",
1256 keywords = "finite fields, GFSR, incomplete array, inversive-decimation method, k-distribution, Mersenne primes, Mersenne twister, m-sequences, MT19937, multiple-recursive matrix method, primitive polynomials, random number generation, tempering, TGFSR",
1263 author = "Frederic P. Miller and Agnes F. Vandome and John McBrewster",
1264 title = "Cryptographically Secure Pseudorandom Number Generator",
1266 isbn = "6130875185, 9786130875183",
1267 publisher = "Alpha Press"
1270 @InCollection{ springerlink1994,
1271 author = "Joan Daemen and Ren{\'e} Govaerts and Joos Vandewalle",
1272 title = "Resynchronization Weaknesses in Synchronous Stream Ciphers",
1273 booktitle = "Advances in Cryptology — EUROCRYPT ’93",
1274 series = "Lecture Notes in Computer Science",
1275 editor = "Tor Helleseth",
1276 publisher = "Springer Berlin / Heidelberg",
1277 isbn = "978-3-540-57600-6",
1280 url = "http://dx.doi.org/10.1007/3-540-48285-7_14",
1281 note = "10.1007/3-540-48285-7\_14",
1283 affiliation = "Katholieke Universiteit Leuven Laboratorium ESAT Kardinaal Mercierlaan 94 B-3001 Heverlee Belgium",
1284 keyword = "Computer Science"
1287 @Article{ PhysRevA2004,
1288 title = "Secure direct communication with a quantum one-time pad",
1290 journal = "Phys. Rev. A",
1291 doi = "10.1103/PhysRevA.69.052319",
1292 author = "Fu-Guo Deng and Gui Lu Long",
1294 url = "http://link.aps.org/doi/10.1103/PhysRevA.69.052319",
1295 publisher = "American Physical Society",
1302 @InProceedings{ Wu2008,
1303 author = "Keke Wu and Huiyun Li and Bo Peng and Fengqi Yu",
1304 title = "Correlation Power Analysis Attack against Synchronous Stream Ciphers",
1305 booktitle = "Proceedings of the 2008 The 9th International Conference for Young Computer Scientists",
1307 isbn = "978-0-7695-3398-8",
1308 pages = "2067--2072",
1310 url = "http://dl.acm.org/citation.cfm?id=1491263.1492074",
1311 doi = "10.1109/ICYCS.2008.8",
1313 publisher = "IEEE Computer Society",
1314 address = "Washington, DC, USA",
1315 keywords = "Correlation coefficient, CPA, DPA, Synchronous stream ciphers, Side channel analysis"
1318 @InProceedings{ Daemen1994,
1319 author = "Joan Daemen and Ren{\'e} Govaerts and Joos Vandewalle",
1320 title = "Resynchronization weaknesses in synchronous stream ciphers",
1321 booktitle = "Workshop on the theory and application of cryptographic techniques on Advances in cryptology",
1322 series = "EUROCRYPT '93",
1324 isbn = "3-540-57600-2",
1325 location = "Lofthus, Norway",
1327 url = "http://dl.acm.org/citation.cfm?id=188307.188337",
1328 publisher = "Springer-Verlag New York, Inc.",
1329 address = "Secaucus, NJ, USA",
1334 @Book{ cusick2004stream,
1335 title = "Stream ciphers and number theory",
1336 author = "T.W. Cusick and C. Ding and A. Renvall",
1337 isbn = "9780444516312",
1338 series = "North-Holland mathematical library",
1339 url = "http://books.google.com/books?id=Q2IncJ99wacC",
1341 publisher = "Elsevier",
1346 author = "Carl H Meyer and Stephen M Matyas",
1347 title = "Cryptography: a new dimension in computer data security; a guide for the design and implementation of secure systems",
1348 publisher = "Wiley",
1349 address = "New York, NY",
1353 @Book{ schneier1996,
1354 title = "Applied cryptography: protocols, algorithms, and source code in C",
1355 author = "Schneier B.",
1356 isbn = "9780471128458",
1357 url = "http://books.google.com/books?id=6NdQAAAAMAAJ",
1359 publisher = "Wiley",
1363 @Article{ STMAZ01769371,
1364 author = "Toni Stojanovski and Johnny Pihl and Ljup\u{c}o Kocarev",
1365 title = "Chaos-based random number generators.",
1367 journal = "IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications",
1372 publisher = "Institute of Electrical and Electronics Engineers, Inc., New York, NY",
1373 doi = "10.1109/81.915396",
1374 abstract = "Summary: This paper and its companion [Part I, {\it T. Stojanovski} and {\it L. M. Kocarev}, ibid. 48, No. 3, 281-288 (2001; reviewed above)] are devoted to the analysis of the application of a chaotic piecewise-linear one-dimensional (PL1D) map as random number generator (RNG). In Part I, we have mathematically analyzed the information generation process of a class of PL1D maps. In this paper, we find optimum parameters that give an RNG with lowest redundancy and maximum margin against parasitic attractors. Further, the map is implemented in a 0.8 $\mu$m standard CMOS process utilizing switched current techniques. Post-layout circuit simulations of the RNG indicate no periodic attractors over variations in temperature, power supply and process conditions, and maximum redundancy of $0.4\%$. We estimate that the output bit rate of our RNG is 1 Mbit/s, which is substantially higher than the output bit rate of RNGs available on the market.",
1375 identifier = "0997.65003",
1376 msc2010 = "65C10 (94C05 62P20 94A15 62B10)"