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",
29 bibdate = "2007-11-06",
31 http://dblp.uni-trier.de/db/journals/toms/toms33.html#LEcuyerS07",
32 URL = "http://doi.acm.org/10.1145/1268776.1268777",
37 title = {{CUDA CUBLAS} library},
42 @InProceedings{Jenkins96,
43 author = "Jenkins, R. J.",
45 booktitle = "IWFSE: International Workshop on Fast Software
47 series={{Lecture Notes in Computer Science}},
50 publisher={Springer Verlag},
56 author = {O. Goldreich},
58 title = {Foundations of Cryptography: Basic Tools},
59 publisher = {Cambridge University Press},
64 @book{kellert1994wake,
65 title={In the Wake of Chaos: Unpredictable Order in Dynamical Systems},
66 author={Kellert, S. H.},
69 series={{Science and Its Conceptual Foundations}},
70 url={http://books.google.fr/books?id=CUpcgo8DqR4C},
72 publisher={University of Chicago Press}
78 title = {Stochastic {P}roperties in {D}evaney's {C}haos},
79 journal = "Chaos, Solitons and Fractals",
82 pages = "1195 - 1199",
86 doi = "10.1016/j.chaos.2004.06.063",
87 url = "http://www.sciencedirect.com/science/article/pii/S0960077904003601",
88 author = "Wu, C. and Xu, Z. and Lin, W. and Ruan, J."
92 @book{gleick2011chaos,
93 title={Chaos: Making a New Science},
96 url={http://books.google.fr/books?id=OoLNzl4XpPUC},
103 @article{Werndl01032009,
104 author = {Werndl, C.},
105 title = {What Are the New Implications of Chaos for Unpredictability?},
110 doi = {10.1093/bjps/axn053},
111 URL = {http://bjps.oxfordjournals.org/content/60/1/195.abstract},
112 eprint = {http://bjps.oxfordjournals.org/content/60/1/195.full.pdf+html},
113 journal = {The British Journal for the Philosophy of Science}
119 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
124 author = {Bahi, J. and Guyeux, C.},
125 title = {Hash Functions Using Chaotic Iterations},
126 journal = {Journal of Algorithms and Computational Technology},
130 doi = {10.1260/1748-3018.4.2.167},
131 url = {http://dx.doi.org/10.1260/1748-3018.4.2.167},
137 author = "Bahi, J. and Guyeux, C.",
138 title = "Topological chaos and chaotic iterations, application to Hash functions",
139 booktitle = "WCCI'10, IEEE World Congress on Computational Intelligence",
142 address = "Barcelona, Spain",
145 journal = "Neural Networks (IJCNN2010)",
148 owner = "christophe",
149 timestamp = "2010.04.11"
153 title = "Discrete Iterations: A Metric Study",
155 editor = "Springer-Verlag",
156 author = "Robert, F.",
158 series = "Springer Series in Computational Mathematics",
160 timestamp = "17/02/2008"
165 @PhDThesis{ GuyeuxThese10,
166 author = "Guyeux, C.",
167 title = "Le d{\'e}sordre des it{\'e}rations chaotiques et leur utilit{\'e} en s{\'e}curit{\'e} informatique",
168 school = "Universit{\'e} de Franche-Comt{\'e}",
170 owner = "christophe",
171 timestamp = "2010.12.21"
175 @inproceedings{bgw09:ip,
177 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
180 author = {Bahi, J and Guyeux, C. and Wang, Q.},
181 title = {A novel pseudo-random generator based on discrete chaotic iterations},
182 booktitle = {INTERNET'09, 1-st Int. Conf. on Evolving Internet},
184 doi = {10.1109/INTERNET.2009.18},
185 url = {http://dx.doi.org/10.1109/INTERNET.2009.18},
186 address = {Cannes, France},
194 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
196 classement = {ACLNI},
199 author = {Bahi, J. and Fang, X. and Guyeux, C. and Wang, Q.},
200 title = {Evaluating Quality of Chaotic Pseudo-Random Generators. Application to Information Hiding},
201 journal = {IJAS, International Journal On Advances in Security},
205 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.},
210 @inproceedings{bgw10:ip,
212 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
215 author = {Bahi, J. and Guyeux, C. and Wang, Q.},
216 title = {A Pseudo Random Numbers Generator Based on Chaotic Iterations. Application to Watermarking},
217 booktitle = {WISM 2010, Int. Conf. on Web Information Systems and Mining},
221 url = {http://dx.doi.org/10.1007/978-3-642-16515-3_26},
222 doi = {10.1007/978-3-642-16515-3_26},
223 address = {Sanya, China},
230 @inproceedings{bfg12a:ip,
232 domainehal = {INFO:INFO_DC, INFO:INFO_CR, INFO:INFO_MO},
235 author = {Bahi, J. and Fang, X. and Guyeux, C.},
236 title = {An optimization technique on pseudorandom generators based on chaotic iterations},
237 booktitle = {INTERNET'2012, 4-th Int. Conf. on Evolving Internet},
239 address = {Venice, Italy},