2 title = {An Introduction to Chaotic Dynamical Systems},
3 publisher = {Addison-Wesley},
5 author = {Devaney, R. L.},
6 address = {Redwood City, CA},
10 @ARTICLE{Marsaglia2003,
11 author = {Marsaglia, G.},
12 title = {Xorshift RNGs},
13 journal = {Journal of Statistical Software},
17 timestamp = {2009.10.28}
21 title = "Test{U01}: {A} {C} library for empirical testing of
22 random number generators",
23 author = "L'Ecuyer, P. and Simard, R. J.",
24 journal = "ACM Trans. Math. Softw",
28 bibdate = "2007-11-06",
30 http://dblp.uni-trier.de/db/journals/toms/toms33.html#LEcuyerS07",
31 URL = "http://doi.acm.org/10.1145/1268776.1268777",
36 title = {Cuda cublas library},
41 @InProceedings{Jenkins96,
42 author = "Jenkins, R. J.",
44 booktitle = "IWFSE: International Workshop on Fast Software
51 author = {O. Goldreich},
53 title = {Foundations of Cryptography: Basic Tools},
54 publisher = {Cambridge University Press},
59 @book{kellert1994wake,
60 title={In the wake of chaos: unpredictable order in dynamical systems},
61 author={Kellert, S. H.},
64 series={Science and its conceptual foundations},
65 url={http://books.google.fr/books?id=CUpcgo8DqR4C},
67 publisher={University of Chicago Press}
73 title = "Stochastic properties in Devaney's chaos",
74 journal = "Chaos, Solitons and Fractals",
77 pages = "1195 - 1199",
81 doi = "10.1016/j.chaos.2004.06.063",
82 url = "http://www.sciencedirect.com/science/article/pii/S0960077904003601",
83 author = "Wu, C. and Xu, Z. and Lin, W. and Ruan, J."
87 @book{gleick2011chaos,
88 title={Chaos: Making a New Science},
91 url={http://books.google.fr/books?id=OoLNzl4XpPUC},
98 @article{Werndl01032009,
100 title = {What Are the New Implications of Chaos for Unpredictability?},
105 doi = {10.1093/bjps/axn053},
106 URL = {http://bjps.oxfordjournals.org/content/60/1/195.abstract},
107 eprint = {http://bjps.oxfordjournals.org/content/60/1/195.full.pdf+html},
108 journal = {The British Journal for the Philosophy of Science}
114 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
119 author = {Bahi, J. and Guyeux, C.},
120 title = {Hash Functions Using Chaotic Iterations},
121 journal = {Journal of Algorithms and Computational Technology},
125 doi = {10.1260/1748-3018.4.2.167},
126 url = {http://dx.doi.org/10.1260/1748-3018.4.2.167},
132 author = "Bahi, J. and Guyeux, C.",
133 title = "Topological chaos and chaotic iterations, application to Hash functions",
134 booktitle = "WCCI'10, IEEE World Congress on Computational Intelligence",
137 address = "Barcelona, Spain",
140 journal = "Neural Networks (IJCNN2010)",
143 owner = "christophe",
144 timestamp = "2010.04.11"
148 title = "Discrete Iterations: A Metric Study",
150 editor = "Springer-Verlag",
151 author = "Robert, F.",
153 series = "Springer Series in Computational Mathematics",
155 timestamp = "17/02/2008"
160 @PhDThesis{ GuyeuxThese10,
161 author = "Guyeux, C.",
162 title = "Le d{\'e}sordre des it{\'e}rations chaotiques et leur utilit{\'e} en s{\'e}curit{\'e} informatique",
163 school = "Universit{\'e} de Franche-Comt{\'e}",
165 owner = "christophe",
166 timestamp = "2010.12.21"
170 @inproceedings{bgw09:ip,
172 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
175 author = {Bahi, J and Guyeux, C. and Wang, Q.},
176 title = {A novel pseudo-random generator based on discrete chaotic iterations},
177 booktitle = {INTERNET'09, 1-st Int. Conf. on Evolving Internet},
179 doi = {10.1109/INTERNET.2009.18},
180 url = {http://dx.doi.org/10.1109/INTERNET.2009.18},
181 address = {Cannes, France},
189 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
191 classement = {ACLNI},
194 author = {Bahi, J. and Fang, X. and Guyeux, C. and Wang, Q.},
195 title = {Evaluating Quality of Chaotic Pseudo-Random Generators. Application to Information Hiding},
196 journal = {IJAS, International Journal On Advances in Security},
200 abstract = {Guaranteeing the security of information transmitted through the Internet, against passive or active attacks, is a major concern. The discovery of new pseudo-random number generators with a strong level of security is a field of research in full expansion, due to the fact that numerous cryptosystems and data hiding schemes are directly dependent on the quality of these generators. At the conference Internet`09, we described a generator based on chaotic iterations which behaves chaotically as defined by Devaney. In this paper which is an extension of the work presented at the conference Internet`10, the proposal is to improve the speed, the security, and the evaluation of this generator, to make its use more relevant in the Internet security context. In order to do so, a comparative study between various generators is carried out and statistical results are improved. Finally, an application in the information hiding framework is presented with details, to give an illustrative example of the use of such a generator in the Internet security field.},
205 @inproceedings{bgw10:ip,
207 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
210 author = {Bahi, J. and Guyeux, C. and Wang, Q.},
211 title = {A Pseudo Random Numbers Generator Based on Chaotic Iterations. Application to Watermarking},
212 booktitle = {WISM 2010, Int. Conf. on Web Information Systems and Mining},
216 url = {http://dx.doi.org/10.1007/978-3-642-16515-3_26},
217 doi = {10.1007/978-3-642-16515-3_26},
218 address = {Sanya, China},
225 @inproceedings{bfg12a:ip,
227 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
230 author = {Bahi, J. and Fang, X. and Guyeux, C.},
231 title = {An optimization technique on pseudorandom generators based on chaotic iterations},
232 booktitle = {INTERNET'2012, 4-th Int. Conf. on Evolving Internet},
234 address = {Venice, Italy},