-@inproceedings{chgw+14oip,
-inhal = {no},
-domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO, INFO:INFO_SE},
-equipe = {ie},
-classement = {COM},
-author = {Couchot, Jean-Fran\c{c}ois and H\'eam, Pierre-Cyrille and Guyeux, Christophe and Wang, Qianxue and Bahi, Jacques},
-title = {Pseudorandom Number Generators with Balanced Gray Codes},
-booktitle = {Secrypt 2014, 11th Int. Conf. on Security and Cryptography},
-pages = {***--***},
-address = {Vienna, Austria},
-month = aug,
-date = {28-30 aout},
-year = 2014,
-note = {Position short paper. To appear},
-
-}
-@Article{rwfg,
- author = {Laurent Saloff-Coste},
- title = {Random Walks on Finite Groups},
- journal = {Probability on Descrete Structures},
- year = {},
- OPTkey = {},
- volume = {110},
- OPTnumber = {},
- pages = {263-346},
- OPTmonth = {},
- note = {http://stat.stanford.edu/~cgates/PERSI/papers/rwfg.pdf},
- OPTannote = {}
-}
-
-@book{LevinPeresWilmer2006,
- added-at = {2010-01-19T17:51:27.000+0100},
- author = {Levin, David A. and Peres, Yuval and Wilmer, Elizabeth L.},
- biburl = {http://www.bibsonomy.org/bibtex/2097dc4d1d0e412b2444f540b04110797/tmalsburg},
- interhash = {61354795a6accb6407bfdbf04753a683},
- intrahash = {097dc4d1d0e412b2444f540b04110797},
- keywords = {markovchains probabilitytheory textbook},
- publisher = {American Mathematical Society},
- timestamp = {2010-01-19T17:51:27.000+0100},
- title = {{Markov chains and mixing times}},
- url = {http://scholar.google.com/scholar.bib?q=info:3wf9IU94tyMJ:scholar.google.com/&output=citation&hl=en&as_sdt=2000&ct=citation&cd=0},
- year = 2006
-}
-
-@BOOK{devaney,
- title = {An Introduction to Chaotic Dynamical Systems},
- publisher = {Addison-Wesley},
- year = {1989},
- author = {Devaney, Robert L.},
- address = {Redwood City, CA},
- edition = {2nd}
-}
-
-
-@ARTICLE{Banks92,
- author = {J. Banks and J. Brooks and G. Cairns and P. Stacey},
- title = {On {D}evaney's Definition of Chaos},
- journal = {Amer. Math. Monthly},
- year = {1992},
- volume = {99},
- pages = {332--334},
- keywords = {(c+),},
- owner = {guyeux},
- timestamp = {27/01/2008}
-}
-
-
-@INPROCEEDINGS{wbg10ip,
- author = {Wang, Qianxue and Bahi, Jacques and Guyeux, Christophe and Fang,
- Xiaole},
- title = {Randomness quality of {CI} chaotic generators. Application to Internet
- security},
- booktitle = {INTERNET'2010. The 2nd Int. Conf. on Evolving Internet},
- year = {2010},
- pages = {125--130},
- address = {Valencia, Spain},
- month = sep,
- publisher = {IEEE Computer Society Press},
- note = {Best Paper award},
- classement = {ACTI},
- doi = {10.1109/INTERNET.2010.30},
- domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
- equipe = {and},
- inhal = {no},
- url = {http://doi.ieeecomputersociety.org/10.1109/INTERNET.2010.30}
-}
-
-
-
-@INPROCEEDINGS{bgw10ip,
- author = {Bahi, Jacques and Guyeux, Christophe and Wang, Qianxue},
- title = {A Pseudo Random Numbers Generator Based on Chaotic Iterations. Application
- to Watermarking},
- booktitle = {WISM 2010, Int. Conf. on Web Information Systems and Mining},
- year = {2010},
- volume = {6318},
- series = {LNCS},
- pages = {202--211},
- address = {Sanya, China},
- month = oct,
- classement = {ACTI},
- doi = {10.1007/978-3-642-16515-3_26},
- domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
- equipe = {and},
- inhal = {no},
- url = {http://dx.doi.org/10.1007/978-3-642-16515-3_26}
-}
-
-
-
-@INPROCEEDINGS{bgw09ip,
- author = {Bahi, Jacques and Guyeux, Christophe and Wang, Qianxue},
- title = {A novel pseudo-random generator based on discrete chaotic iterations},
- booktitle = {INTERNET'09, 1-st Int. Conf. on Evolving Internet},
- year = {2009},
- pages = {71--76},
- address = {Cannes, France},
- month = aug,
- classement = {ACTI},
- doi = {10.1109/INTERNET.2009.18},
- domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
- equipe = {and},
- inhal = {no},
- url = {http://dx.doi.org/10.1109/INTERNET.2009.18}
-}
-
-
-
-@INPROCEEDINGS{guyeuxTaiwan10,
- author = {Bahi, Jacques M. and Guyeux, Christophe and Wang, Qianxue},
- title = {Improving random number generators by chaotic iterations. {A}pplication
- in data hiding},
- booktitle = {ICCASM 2010, Int. Conf. on Computer Application and System Modeling},
- year = {2010},
- pages = {V13-643--V13-647},
- address = {Taiyuan, China},
- month = oct,
- classement = {ACTI},
- doi = {10.1109/ICCASM.2010.5622199},
- domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
- equipe = {and},
- inhal = {no},
- url = {http://dx.doi.org/10.1109/ICCASM.2010.5622199}
-}
-
-@inproceedings{bcgw11ip,
-inhal = {no},
-domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
-equipe = {and},
-classement = {ACTI},
-author = {Bahi, Jacques and Couchot, Jean-Fran\c{c}ois and Guyeux, Christophe and Wang, Qianxue},
-title = {Class of Trustworthy Pseudo Random Number Generators},
-booktitle = {INTERNET 2011, the 3-rd Int. Conf. on Evolving Internet},
-pages = {72--77},
-address = {Luxembourg, Luxembourg},
-month = jun,
-year = 2011}
-
-
-
-@INPROCEEDINGS{bcgr11ip,
- author = {Bahi, Jacques and Couchot, Jean-Fran\c{c}ois and Guyeux, Christophe
- and Richard, Adrien},
- title = {On the Link Between Strongly Connected Iteration Graphs and Chaotic
- Boolean Discrete-Time Dynamical Systems},
- booktitle = {FCT'11, 18th Int. Symp. on Fundamentals of Computation Theory},
- year = {2011},
- volume = {6914},
- series = {LNCS},
- pages = {126--137},
- address = {Oslo, Norway},
- month = aug,
- classement = {ACTI},
- doi = {10.1007/978-3-642-22953-4_11},
- domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
- equipe = {and},
- inhal = {no},
- url = "http://dx.doi.org/10.1007/978-3-642-22953-4_11"
-}
-
-
-
-@INPROCEEDINGS{bg10aip,
- author = {Bahi, Jacques and Guyeux, Christophe},
- title = {Topological chaos and chaotic iterations, application to Hash functions},
- booktitle = {IJCNN'10, Int. Joint Conf. on Neural Networks, joint to WCCI'10,
- IEEE World Congress on Computational Intelligence},
- year = {2010},
- pages = {1--7},
- address = {Barcelona, Spain},
- month = jul,
- note = {Best paper award},
- classement = {ACTI},
- doi = {10.1109/IJCNN.2010.5596512},
- domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
- equipe = {and},
- inhal = {no},
- url = {http://dx.doi.org/10.1109/IJCNN.2010.5596512}
-}
-
-
-@ARTICLE{DBLPjournals/corr/abs-1112-5239,
- author = {Jacques M. Bahi and Rapha{\"e}l Couturier and Christophe Guyeux and
- Pierre-Cyrille H{\'e}am},
- title = {Efficient and Cryptographically Secure Generation of Chaotic Pseudorandom
- Numbers on GPU},
- journal = {CoRR},
- year = {2011},
- volume = {abs/1112.5239},
- bibsource = {DBLP, http://dblp.uni-trier.de},
- ee = {http://arxiv.org/abs/1112.5239}
-}
-
-@MISC{Nist10,
- author = {E. Barker and A. Roginsky},
- title = {DRAFT {N}{I}{S}{T} Special Publication 800-131 Recommendation for
- the Transitioning of Cryptographic Algorithms and Key Sizes},
- year = {2010},
- owner = {christophe},
- timestamp = {2010.08.18}
-}
-
-
-@ARTICLE{LEcuyerS07,
- author = {Pierre L'Ecuyer and Richard J. Simard},
- title = {Test{U01}: {A} {C} library for empirical testing of random number
- generators},
- journal = {ACM Trans. Math. Softw},
- year = {2007},
- volume = {33},
- number = {4},
- bibdate = {2007-11-06},
- bibsource = {DBLP, http://dblp.uni-trier.de/db/journals/toms/toms33.html#LEcuyerS07},
- url = {http://doi.acm.org/10.1145/1268776.1268777}
-}
-
-
-@ARTICLE{Marsaglia1996,
- author = {G. Marsaglia},
- title = {DIEHARD: a battery of tests of randomness},
- journal = {http://stat.fsu.edu/~geo/diehard.html},
- year = {1996},
- owner = {qianxue},
- timestamp = {2009.11.09}
-}
-
-@PHDTHESIS{Xiaole13,
- author = {Xiaole Fang},
- title = {Utilization of chaotic dynamics for generating pseudorandom numbers
- in various contexts},
- school = {Universit\'{e} de Franche-Comt\'{e}},
- year = {2013},
- owner = {guyeux},
- timestamp = {2008.01.02}
-}
-
-@BOOK{Robert,
- title = {Discrete Iterations, a Metric Study},
- publisher = {Springer-Verlag},
- year = {1986},
- author = {Fran\,cois Robert},
- volume = {6},
- series = {Series in Computational Mathematics}
-}
-
-
-@ARTICLE{915396,
-author={Stojanovski, T. and Pihl, J. and Kocarev, L.},
-journal={Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on},
-title={Chaos-based random number generators. Part II: practical realization},
-year={2001},
-month={Mar},
-volume={48},
-number={3},
-pages={382-385},
-keywords={CMOS analogue integrated circuits;chaos generators;circuit simulation;piecewise linear techniques;random number generation;redundancy;switched current circuits;0.8 micron;1 Mbit/s;chaos-based random number generators;chaotic piecewise-linear one-dimensional map;output bit rate;parasitic attractors;periodic attractors;post-layout circuit simulations;process conditions;redundancy;standard CMOS process;switched current techniques;Bit rate;CMOS process;Chaos;Circuits;Electric breakdown;Information analysis;Piecewise linear techniques;Power supplies;Random number generation;Temperature},
-doi={10.1109/81.915396},
-ISSN={1057-7122},}
-
-
-@ARTICLE{915385,
-author={Stojanovski, T. and Kocarev, L.},
-journal={Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on},
-title={Chaos-based random number generators-part I: analysis [cryptography]},
-year={2001},
-month={Mar},
-volume={48},
-number={3},
-pages={281-288},
-keywords={Markov processes;chaos;cryptography;piecewise linear techniques;random number generation;Markov generating partition;Markov information source;chaos-based random number generators;cryptography;information generation process;parameter values;piecewise-linear one-dimensional map;random number generator;Chaos;Cryptographic protocols;Cryptography;Current measurement;Low-frequency noise;Noise measurement;Random number generation;Random sequences;Security;Semiconductor device noise},
-doi={10.1109/81.915385},
-ISSN={1057-7122},}
-
-@INPROCEEDINGS{5376454,
-author={Li Cao and Lequan Min and Hongyan Zang},
-booktitle={Computational Intelligence and Security, 2009. CIS '09. International Conference on},
-title={A Chaos-Based Pseudorandom Number Generator and Performance Analysis},
-year={2009},
-month={Dec},
-volume={1},
-pages={494-498},
-keywords={binary sequences;chaos;discrete systems;random number generation;synchronisation;2D Arnold cat map;6D discrete chaos map;FIPA-140-2 tests;National Institute of Standard and Technology;binary number sequences;chaos-based pseudorandom number generator;confidence interval analysis;generalized chaos synchronization theorem;performance analysis;Chaos;Chaotic communication;Computational intelligence;NIST;Nonlinear dynamical systems;Performance analysis;Random number generation;Security;Space technology;Testing;Discrete chaos map;generalized chaos synchronization;one-time-pad;statistical test},
-doi={10.1109/CIS.2009.203},}
-
-@article{bfgw13ij,
-inhal = {no},
-domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
-equipe = {and},
-classement = {ACLI},
-impact-factor ={1.065},
-isi-acro = {J NETW COMPUT APPL},
-author = {Bahi, Jacques and Fang, Xiaole and Guyeux, Christophe and Wang, Qianxue},
-title = {Suitability of chaotic iterations schemes using {XORshift} for security applications},
-journal = {JNCA, Journal of Network and Computer Applications},
-pages = {282--292},
-volume = 37,
-doi = {10.1016/j.jnca.2013.03.001},
-url = {http://dx.doi.org/10.1016/j.jnca.2013.03.001},
-abstract = {The design and engineering of original cryptographic solutions is a major concern to provide secure information systems. In a previous study, we have described a generator based on chaotic iterations, which uses the well-known XORshift generator. By doing so, we have improved the statistical performances of XORshift and make it behave chaotically, as defined by Devaney. The speed and security of this former generator have been improved in a second study, to make its usage more relevant in the Internet security context. In this paper, these contributions are summarized and a new version of the generator is introduced. It is based on a new Lookup Table implying a large improvement of speed. A comparison and a security analysis between the XORshift and these three versions of our generator are proposed, and various new statistical results are given. Finally, an application in the information hiding framework is presented, to give an illustrative example of the use of such a generator in the Internet security field.},
-publisher = {Elsevier},
-year = 2013,
-
-}
-
-
-@article{Marsaglia2003JSSOBKv08i14,
- author = "George Marsaglia",
- title = "Xorshift RNGs",
- journal = "Journal of Statistical Software",
- volume = "8",
- number = "14",
- pages = "1--6",
- day = "4",
- month = "7",
- year = "2003",
- CODEN = "JSSOBK",
- ISSN = "1548-7660",
- bibdate = "2003-07-04",
- URL = "http://www.jstatsoft.org/v08/i14",
- accepted = "2003-07-04",
- acknowledgement = "",
- keywords = "",
- submitted = "2003-05-06",
-}
-
-
-
-@INPROCEEDINGS{cghwb14ip,
- author = {Couchot, Jean-Fran\c{c}ois and Guyeux, Christophe and Heam,
-Pierre-Cyrille, and Wang, Qianxue and Bahi, Jacques},
- title = {Pseudorandom Number Generators with Balanced Gray Codes},
- booktitle = {SECRYPT 2014, the 11th International Conference on Security and Cryptography},
- year = {2014},
- pages = {***--***},
- address = {Vienna, Austria},
- month = aug,
- classement = {ACTI},
- doi = {10.1007/978-3-642-22953-4_11},
- domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
- equipe = {and},
- inhal = {no},
-}
-
-@Article{ZanSup04,
- author = {Suparta, IN and Zanten, AJ van},
- title = {Totally balanced and exponentially balanced Gray codes},
- journal = {Discrete Analysis and Operation Research (Russia)},
- year = {2004},
- OPTkey = {},
- volume = {11},
- number = {4},
- pages = {81-98},
- OPTmonth = {},
- OPTnote = {},
- OPTannote = {}
-}
-
-@Article{Feder2009NTB,
- title = "Nearly tight bounds on the number of Hamiltonian
- circuits of the hypercube and generalizations",
- author = "Tom{\'a}s Feder and Carlos S. Subi",
- journal = "Info. Process. Lett",
- year = "2009",
- number = "5",
- volume = "109",
- pages = "267--272",
- URL = "http://dx.doi.org/10.1016/j.ipl.2008.10.015",
-}
-
-
