X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/16dcc.git/blobdiff_plain/d68de43fbfbc44e3363780b39401bf1d2683f9d8..8dfce25f59a57787b53e1ba55971a5c4f8d5993f:/main.bbl diff --git a/main.bbl b/main.bbl index e2aaabb..311ccc4 100644 --- a/main.bbl +++ b/main.bbl @@ -1,121 +1,130 @@ -\newcommand{\etalchar}[1]{$^{#1}$} -\begin{thebibliography}{CHG{\etalchar{+}}14b} - -\bibitem[BBCS92]{Banks92} -J.~Banks, J.~Brooks, G.~Cairns, and P.~Stacey. -\newblock On {D}evaney's definition of chaos. -\newblock {\em Amer. Math. Monthly}, 99:332--334, 1992. - -\bibitem[BCGR11]{bcgr11:ip} -Jacques Bahi, Jean-Fran\c{c}ois Couchot, Christophe Guyeux, and Adrien Richard. -\newblock On the link between strongly connected iteration graphs and chaotic - boolean discrete-time dynamical systems. -\newblock In {\em FCT'11, 18th Int. Symp. on Fundamentals of Computation - Theory}, volume 6914 of {\em LNCS}, pages 126--137, Oslo, Norway, August - 2011. - -\bibitem[BR10]{Nist10} -E.~Barker and A.~Roginsky. -\newblock Draft {N}{I}{S}{T} special publication 800-131 recommendation for the - transitioning of cryptographic algorithms and key sizes, 2010. - -\bibitem[BS96]{DBLP:journals/combinatorics/BhatS96} -Girish~S. Bhat and Carla~D. Savage. -\newblock Balanced gray codes. -\newblock {\em Electr. J. Comb.}, 3(1), 1996. - -\bibitem[Byk16]{Bykov2016} -I.~S. Bykov. -\newblock On locally balanced gray codes. -\newblock {\em Journal of Applied and Industrial Mathematics}, 10(1):78--85, - 2016. - -\bibitem[CHG{\etalchar{+}}14a]{chgw14oip} -Jean-Fran\c{c}ois Couchot, Pierre-Cyrille H\'eam, Christophe Guyeux, Qianxue - Wang, and Jacques Bahi. -\newblock Pseudorandom number generators with balanced gray codes. -\newblock In {\em Secrypt 2014, 11th Int. Conf. on Security and Cryptography}, - pages 469--475, Vienna, Austria, August 2014. -\newblock Position short paper. - -\bibitem[CHG{\etalchar{+}}14b]{DBLP:conf/secrypt/CouchotHGWB14} -Jean{-}Fran{\c{c}}ois Couchot, Pierre{-}Cyrille H{\'{e}}am, Christophe Guyeux, - Qianxue Wang, and Jacques~M. Bahi. -\newblock Pseudorandom number generators with balanced gray codes. -\newblock In Mohammad~S. Obaidat, Andreas Holzinger, and Pierangela Samarati, - editors, {\em {SECRYPT} 2014 - Proceedings of the 11th International - Conference on Security and Cryptography, Vienna, Austria, 28-30 August, - 2014}, pages 469--475. SciTePress, 2014. - -\bibitem[CMZ09]{5376454} -Li~Cao, Lequan Min, and Hongyan Zang. -\newblock A chaos-based pseudorandom number generator and performance analysis. -\newblock In {\em Computational Intelligence and Security, 2009. CIS '09. - International Conference on}, volume~1, pages 494--498. IEEE, Dec 2009. - -\bibitem[Dev89]{Devaney} -Robert~L. Devaney. -\newblock {\em An Introduction to Chaotic Dynamical Systems}. -\newblock Addison-Wesley, Redwood City, CA, 2nd edition, 1989. - -\bibitem[GWB10]{guyeuxTaiwan10} -Christophe Guyeux, Qianxue Wang, and J.M. Bahi. -\newblock Improving random number generators by chaotic iterations application - in data hiding. -\newblock In {\em Computer Application and System Modeling (ICCASM), 2010 - International Conference on}, volume~13, pages V13--643--V13--647. IEEE, Oct - 2010. - -\bibitem[LPW06]{LevinPeresWilmer2006} -David~A. Levin, Yuval Peres, and Elizabeth~L. Wilmer. -\newblock {\em {Markov chains and mixing times}}. -\newblock American Mathematical Society, 2006. - -\bibitem[LS07]{LEcuyerS07} -Pierre L'Ecuyer and Richard~J. Simard. -\newblock Test{U01}: {A} {C} library for empirical testing of random number - generators. -\newblock {\em ACM Trans. Math. Softw}, 33(4), 2007. - -\bibitem[Mar96]{Marsaglia1996} -G.~Marsaglia. -\newblock Diehard: a battery of tests of randomness. -\newblock {\em http://stat.fsu.edu/~geo/diehard.html}, 1996. - -\bibitem[MU05]{proba} -M.~Mitzenmacher and Eli Upfal. -\newblock {\em Probability and Computing}. -\newblock Cambridge University Press, 2005. - -\bibitem[RC81]{Robinson:1981:CS} -John~P. Robinson and Martin Cohn. -\newblock Counting sequences. -\newblock {\em IEEE Trans. Comput.}, 30(1):17--23, January 1981. - -\bibitem[SK01]{915385} -T.~Stojanovski and L.~Kocarev. -\newblock Chaos-based random number generators-part i: analysis [cryptography]. -\newblock {\em Circuits and Systems I: Fundamental Theory and Applications, - IEEE Transactions on}, 48(3):281--288, Mar 2001. - -\bibitem[SPK01]{915396} -T.~Stojanovski, J.~Pihl, and L.~Kocarev. -\newblock Chaos-based random number generators. part ii: practical realization. -\newblock {\em Circuits and Systems I: Fundamental Theory and Applications, - IEEE Transactions on}, 48(3):382--385, Mar 2001. - -\bibitem[SZ04]{ZanSup04} -IN~Suparta and AJ~van Zanten. -\newblock Totally balanced and exponentially balanced gray codes. -\newblock {\em Discrete Analysis and Operation Research (Russia)}, - 11(4):81--98, 2004. - -\bibitem[WBGF10]{wbg10ip} -Qianxue Wang, Jacques Bahi, Christophe Guyeux, and Xiaole Fang. -\newblock Randomness quality of {CI} chaotic generators. application to - internet security. -\newblock In {\em INTERNET'2010. The 2nd Int. Conf. on Evolving Internet}, - pages 125--130, Valencia, Spain, September 2010. IEEE Computer Society Press. -\newblock Best Paper award. +\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}