X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/16dcc.git/blobdiff_plain/3fc31015143d2bab7226a54390f3e1c5eba8f4d5..8dfce25f59a57787b53e1ba55971a5c4f8d5993f:/main.bbl?ds=inline diff --git a/main.bbl b/main.bbl index 66a9167..311ccc4 100644 --- a/main.bbl +++ b/main.bbl @@ -1,117 +1,130 @@ -\begin{thebibliography}{10} -\expandafter\ifx\csname url\endcsname\relax - \def\url#1{\texttt{#1}}\fi -\expandafter\ifx\csname urlprefix\endcsname\relax\def\urlprefix{URL }\fi -\expandafter\ifx\csname href\endcsname\relax - \def\href#1#2{#2} \def\path#1{#1}\fi - -\bibitem{915396} -T.~Stojanovski, J.~Pihl, L.~Kocarev, Chaos-based random number generators. part - ii: practical realization, Circuits and Systems I: Fundamental Theory and - Applications, IEEE Transactions on 48~(3) (2001) 382--385. - -\bibitem{915385} -T.~Stojanovski, L.~Kocarev, Chaos-based random number generators-part i: - analysis [cryptography], Circuits and Systems I: Fundamental Theory and - Applications, IEEE Transactions on 48~(3) (2001) 281--288. - -\bibitem{5376454} -L.~Cao, L.~Min, H.~Zang, A chaos-based pseudorandom number generator and - performance analysis, in: Computational Intelligence and Security, 2009. CIS - '09. International Conference on, Vol.~1, IEEE, 2009, pp. 494--498. - -\bibitem{Marsaglia1996} -G.~Marsaglia, Diehard: a battery of tests of randomness, - http://stat.fsu.edu/~geo/diehard.html. - -\bibitem{Nist10} -E.~Barker, A.~Roginsky, Draft {N}{I}{S}{T} special publication 800-131 - recommendation for the transitioning of cryptographic algorithms and key - sizes (2010). - -\bibitem{LEcuyerS07} -P.~L'Ecuyer, R.~J. Simard, Test{U01}: {A} {C} library for empirical testing of - random number generators, ACM Trans. Math. Softw 33~(4). - -\bibitem{Devaney} -R.~L. Devaney, An Introduction to Chaotic Dynamical Systems, 2nd Edition, - Addison-Wesley, Redwood City, CA, 1989. - -\bibitem{guyeuxTaiwan10} -C.~Guyeux, Q.~Wang, J.~Bahi, Improving random number generators by chaotic - iterations application in data hiding, in: Computer Application and System - Modeling (ICCASM), 2010 International Conference on, Vol.~13, IEEE, 2010, pp. - V13--643--V13--647. - -\bibitem{bcgr11:ip} -J.~Bahi, J.-F. Couchot, C.~Guyeux, A.~Richard, On the link between strongly - connected iteration graphs and chaotic boolean discrete-time dynamical - systems, in: FCT'11, 18th Int. Symp. on Fundamentals of Computation Theory, - Vol. 6914 of LNCS, Oslo, Norway, 2011, pp. 126--137. - -\bibitem{wbg10ip} -Q.~Wang, J.~Bahi, C.~Guyeux, X.~Fang, Randomness quality of {CI} chaotic - generators. application to internet security, in: INTERNET'2010. The 2nd Int. - Conf. on Evolving Internet, IEEE Computer Society Press, Valencia, Spain, - 2010, pp. 125--130, best Paper award. - -\bibitem{DBLP:conf/secrypt/CouchotHGWB14} -J.~Couchot, P.~H{\'{e}}am, C.~Guyeux, Q.~Wang, J.~M. Bahi, Pseudorandom number - generators with balanced gray codes, in: M.~S. Obaidat, A.~Holzinger, - P.~Samarati (Eds.), {SECRYPT} 2014 - Proceedings of the 11th International - Conference on Security and Cryptography, Vienna, Austria, 28-30 August, 2014, - SciTePress, 2014, pp. 469--475. - -\bibitem{Banks92} -J.~Banks, J.~Brooks, G.~Cairns, P.~Stacey, On {D}evaney's definition of chaos, - Amer. Math. Monthly 99 (1992) 332--334. - -\bibitem{wbg10:ip} -Q.~Wang, J.~Bahi, C.~Guyeux, X.~Fang, Randomness quality of {CI} chaotic - generators. application to internet security, in: INTERNET'2010. The 2nd Int. - Conf. on Evolving Internet, IEEE Computer Society Press, Valencia, Spain, - 2010, pp. 125--130, best Paper award. - -\bibitem{bfgw11:ip} -J.~Bahi, X.~Fang, C.~Guyeux, Q.~Wang, On the design of a family of {CI} - pseudo-random number generators, in: WICOM'11, 7th Int. IEEE Conf. on - Wireless Communications, Networking and Mobile Computing, Wuhan, China, 2011, - pp. 1--4. - -\bibitem{Robinson:1981:CS} -J.~P. Robinson, M.~Cohn, - \href{http://dl.acm.org/citation.cfm?id=1963620.1963622}{Counting sequences}, - IEEE Trans. Comput. 30~(1) (1981) 17--23. -\newline\urlprefix\url{http://dl.acm.org/citation.cfm?id=1963620.1963622} - -\bibitem{DBLP:journals/combinatorics/BhatS96} -G.~S. Bhat, C.~D. Savage, - \href{http://www.combinatorics.org/Volume_3/Abstracts/v3i1r25.html}{Balanced - gray codes}, Electr. J. Comb. 3~(1). -\newline\urlprefix\url{http://www.combinatorics.org/Volume_3/Abstracts/v3i1r25.html} - -\bibitem{ZanSup04} -I.~Suparta, A.~v. Zanten, Totally balanced and exponentially balanced gray - codes, Discrete Analysis and Operation Research (Russia) 11~(4) (2004) - 81--98. - -\bibitem{Bykov2016} -I.~S. Bykov, On locally balanced gray codes, Journal of Applied and Industrial - Mathematics 10~(1) (2016) 78--85. - -\bibitem{LevinPeresWilmer2006} -D.~A. Levin, Y.~Peres, E.~L. Wilmer, - \href{http://scholar.google.com/scholar.bib?q=info:3wf9IU94tyMJ:scholar.google.com/&output=citation&hl=en&as_sdt=2000&ct=citation&cd=0}{{Markov - chains and mixing times}}, American Mathematical Society, 2006. -\newline\urlprefix\url{http://scholar.google.com/scholar.bib?q=info:3wf9IU94tyMJ:scholar.google.com/&output=citation&hl=en&as_sdt=2000&ct=citation&cd=0} - -\bibitem{proba} -M.~Mitzenmacher, E.~Upfal, Probability and Computing, Cambridge University - Press, 2005. - -\bibitem{matsumoto1998mersenne} -M.~Matsumoto, T.~Nishimura, Mersenne twister: a 623-dimensionally - equidistributed uniform pseudo-random number generator, ACM Transactions on - Modeling and Computer Simulation (TOMACS) 8~(1) (1998) 3--30. +\begin{thebibliography}{21} +\newcommand{\enquote}[1]{``#1''} +\providecommand{\natexlab}[1]{#1} +\providecommand{\url}[1]{\texttt{#1}} +\providecommand{\urlprefix}{URL } +\expandafter\ifx\csname urlstyle\endcsname\relax + \providecommand{\doi}[1]{doi:\discretionary{}{}{}#1}\else + \providecommand{\doi}{doi:\discretionary{}{}{}\begingroup + \urlstyle{rm}\Url}\fi + +\bibitem[{Bahi \emph{et~al.}(2011{\natexlab{a}})Bahi, Couchot, Guyeux \& + Richard}]{bcgr11:ip} +Bahi, J., Couchot, J.-F., Guyeux, C. \& Richard, A. [2011{\natexlab{a}}] + \enquote{On the link between strongly connected iteration graphs and chaotic + boolean discrete-time dynamical systems,} \emph{FCT'11, 18th Int. Symp. on + Fundamentals of Computation Theory} (Oslo, Norway), pp. 126--137. + +\bibitem[{Bahi \emph{et~al.}(2011{\natexlab{b}})Bahi, Fang, Guyeux \& + Wang}]{bfgw11:ip} +Bahi, J., Fang, X., Guyeux, C. \& Wang, Q. [2011{\natexlab{b}}] \enquote{On the + design of a family of {CI} pseudo-random number generators,} \emph{WICOM'11, + 7th Int. IEEE Conf. on Wireless Communications, Networking and Mobile + Computing} (Wuhan, China), pp. 1--4. + +\bibitem[{Banks \emph{et~al.}(1992)Banks, Brooks, Cairns \& Stacey}]{Banks92} +Banks, J., Brooks, J., Cairns, G. \& Stacey, P. [1992] \enquote{On {D}evaney's + definition of chaos,} \emph{Amer. Math. Monthly} \textbf{99}, 332--334. + +\bibitem[{Barker \& Roginsky(2010)}]{Nist10} +Barker, E. \& Roginsky, A. [2010] \enquote{Draft {N}{I}{S}{T} special + publication 800-131 recommendation for the transitioning of cryptographic + algorithms and key sizes,} . + +\bibitem[{Bhat \& Savage(1996)}]{DBLP:journals/combinatorics/BhatS96} +Bhat, G.~S. \& Savage, C.~D. [1996] \enquote{Balanced gray codes,} + \emph{Electr. J. Comb.} \textbf{3}, + \urlprefix\url{http://www.combinatorics.org/Volume_3/Abstracts/v3i1r25.html}. + +\bibitem[{Bykov(2016)}]{Bykov2016} +Bykov, I.~S. [2016] \enquote{On locally balanced gray codes,} \emph{Journal of + Applied and Industrial Mathematics} \textbf{10}, 78--85. + +\bibitem[{Cao \emph{et~al.}(2009)Cao, Min \& Zang}]{5376454} +Cao, L., Min, L. \& Zang, H. [2009] \enquote{A chaos-based pseudorandom number + generator and performance analysis,} \emph{Computational Intelligence and + Security, 2009. CIS '09. International Conference on} (IEEE), pp. 494--498. + +\bibitem[{Couchot \emph{et~al.}(2014)Couchot, H{\'{e}}am, Guyeux, Wang \& + Bahi}]{DBLP:conf/secrypt/CouchotHGWB14} +Couchot, J., H{\'{e}}am, P., Guyeux, C., Wang, Q. \& Bahi, J.~M. [2014] + \enquote{Pseudorandom number generators with balanced gray codes,} + \emph{{SECRYPT} 2014 - Proceedings of the 11th International Conference on + Security and Cryptography, Vienna, Austria, 28-30 August, 2014}, eds. + Obaidat, M.~S., Holzinger, A. \& Samarati, P. (SciTePress), ISBN + 978-989-758-045-1, pp. 469--475. + +\bibitem[{Devaney(1989)}]{Devaney} +Devaney, R.~L. [1989] \emph{An Introduction to Chaotic Dynamical Systems}, 2nd + ed. (Addison-Wesley, Redwood City, CA). + +\bibitem[{Guyeux \emph{et~al.}(2010)Guyeux, Wang \& Bahi}]{guyeuxTaiwan10} +Guyeux, C., Wang, Q. \& Bahi, J. [2010] \enquote{Improving random number + generators by chaotic iterations application in data hiding,} \emph{Computer + Application and System Modeling (ICCASM), 2010 International Conference on} + (IEEE), pp. V13--643--V13--647. + +\bibitem[{L'Ecuyer \& Simard(2007)}]{LEcuyerS07} +L'Ecuyer, P. \& Simard, R.~J. [2007] \enquote{Test{U01}: {A} {C} library for + empirical testing of random number generators,} \emph{ACM Trans. Math. Softw} + \textbf{33}. + +\bibitem[{Levin \emph{et~al.}(2006)Levin, Peres \& + Wilmer}]{LevinPeresWilmer2006} +Levin, D.~A., Peres, Y. \& Wilmer, E.~L. [2006] \emph{{Markov chains and mixing + times}} (American Mathematical Society), + \urlprefix\url{http://scholar.google.com/scholar.bib?q=info:3wf9IU94tyMJ:scholar.google.com/&output=citation&hl=en&as_sdt=2000&ct=citation&cd=0}. + +\bibitem[{Marsaglia(1996)}]{Marsaglia1996} +Marsaglia, G. [1996] \enquote{Diehard: a battery of tests of randomness,} + \emph{http://stat.fsu.edu/~geo/diehard.html} . + +\bibitem[{Matsumoto \& Nishimura(1998)}]{matsumoto1998mersenne} +Matsumoto, M. \& Nishimura, T. [1998] \enquote{Mersenne twister: a + 623-dimensionally equidistributed uniform pseudo-random number generator,} + \emph{ACM Transactions on Modeling and Computer Simulation (TOMACS)} + \textbf{8}, 3--30. + +\bibitem[{Mitzenmacher \& Upfal(2005)}]{proba} +Mitzenmacher, M. \& Upfal, E. [2005] \emph{Probability and Computing} + (Cambridge University Press). + +\bibitem[{Robinson \& Cohn(1981)}]{Robinson:1981:CS} +Robinson, J.~P. \& Cohn, M. [1981] \enquote{Counting sequences,} \emph{IEEE + Trans. Comput.} \textbf{30}, 17--23, + \urlprefix\url{http://dl.acm.org/citation.cfm?id=1963620.1963622}. + +\bibitem[{Stojanovski \& Kocarev(2001)}]{915385} +Stojanovski, T. \& Kocarev, L. [2001] \enquote{Chaos-based random number + generators-part i: analysis [cryptography],} \emph{Circuits and Systems I: + Fundamental Theory and Applications, IEEE Transactions on} \textbf{48}, + 281--288. + +\bibitem[{Stojanovski \emph{et~al.}(2001)Stojanovski, Pihl \& Kocarev}]{915396} +Stojanovski, T., Pihl, J. \& Kocarev, L. [2001] \enquote{Chaos-based random + number generators. part ii: practical realization,} \emph{Circuits and + Systems I: Fundamental Theory and Applications, IEEE Transactions on} + \textbf{48}, 382--385. + +\bibitem[{Suparta \& Zanten(2004)}]{ZanSup04} +Suparta, I. \& Zanten, A.~v. [2004] \enquote{Totally balanced and exponentially + balanced gray codes,} \emph{Discrete Analysis and Operation Research + (Russia)} \textbf{11}, 81--98. + +\bibitem[{Wang \emph{et~al.}(2010{\natexlab{a}})Wang, Bahi, Guyeux \& + Fang}]{wbg10ip} +Wang, Q., Bahi, J., Guyeux, C. \& Fang, X. [2010{\natexlab{a}}] + \enquote{Randomness quality of {CI} chaotic generators. application to + internet security,} \emph{INTERNET'2010. The 2nd Int. Conf. on Evolving + Internet} (IEEE Computer Society Press, Valencia, Spain), pp. 125--130, best + Paper award. + +\bibitem[{Wang \emph{et~al.}(2010{\natexlab{b}})Wang, Bahi, Guyeux \& + Fang}]{wbg10:ip} +Wang, Q., Bahi, J., Guyeux, C. \& Fang, X. [2010{\natexlab{b}}] + \enquote{Randomness quality of {CI} chaotic generators. application to + internet security,} \emph{INTERNET'2010. The 2nd Int. Conf. on Evolving + Internet} (IEEE Computer Society Press, Valencia, Spain), pp. 125--130, best + Paper award. \end{thebibliography}