-\relax
-\citation{915396,915385,5376454}
-\citation{915396,915385}
-\citation{5376454}
-\citation{Marsaglia1996}
-\citation{Nist10}
-\citation{LEcuyerS07}
-\citation{Devaney}
-\select@language{english}
-\@writefile{toc}{\select@language{english}}
-\@writefile{lof}{\select@language{english}}
-\@writefile{lot}{\select@language{english}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Introduction}}{1}}
-\citation{guyeuxTaiwan10,bcgr11:ip}
-\citation{wbg10ip}
-\citation{chgw14oip}
-\citation{bcgr11:ip}
-\citation{chgw14oip}
-\citation{chgw14oip}
-\citation{DBLP:conf/secrypt/CouchotHGWB14}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{\uppercase {Preliminaries}}}{3}}
-\newlabel{sec:preliminaries}{{2}{3}}
-\newlabel{eq:asyn}{{1}{3}}
-\citation{bcgr11:ip}
-\citation{bcgr11:ip}
-\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Iteration Graph $\Gamma (f^*)$ of the function $f^*$\relax }}{4}}
-\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
-\newlabel{fig:iteration:f*}{{1}{4}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {1}{\ignorespaces Pseudo Code of the $\chi _{\textit {14Secrypt}}$ PRNG\relax }}{4}}
-\newlabel{CI Algorithm}{{1}{4}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Proof Of Chaos}}{4}}
-\newlabel{sec:proofOfChaos}{{3}{4}}
-\citation{Devaney}
-\citation{Banks92}
-\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.1}{Devaney's Chaotic Dynamical Systems}}{5}}
-\newlabel{subsec:Devaney}{{3.1}{5}}
-\newlabel{sensitivity}{{3.5}{5}}
-\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.2}{A Metric Space for PRNG Iterations}}{5}}
-\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.3}{A metric on $\mathcal {X}_{\mathsf {N},\mathcal {P}}$}}{6}}
-\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.4}{$\Gamma _{\mathcal {P}}(f)$ as an extension of $\Gamma (f)$}}{8}}
-\newlabel{graphe1}{{2a}{9}}
-\newlabel{sub@graphe1}{{a}{9}}
-\newlabel{graphe2}{{2b}{9}}
-\newlabel{sub@graphe2}{{b}{9}}
-\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Iterating $f_0:(x_1,x_2) \DOTSB \mapstochar \rightarrow (\overline {x_1}, \overline {x_2})$\relax }}{9}}
-\newlabel{fig:itg}{{2}{9}}
-\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.5}{Proofs of chaos}}{9}}
-\newlabel{prop:trans}{{3.8}{9}}
-\citation{bcgr11:ip}
-\citation{DBLP:conf/secrypt/CouchotHGWB14}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{4}{Functions with Strongly Connected $\Gamma _{\{b\}}(f)$}}{10}}
-\newlabel{sec:SCCfunc}{{4}{10}}
-\citation{bcgr11:ip}
-\citation{DBLP:conf/secrypt/CouchotHGWB14}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{5}{Stopping Time}}{11}}
-\newlabel{sec:hypercube}{{5}{11}}
-\citation{LevinPeresWilmer2006}
-\newlabel{eq:Markov:rairo}{{3}{13}}
-\newlabel{lm:h}{{5.2}{13}}
-\citation{proba}
-\newlabel{prop:stop}{{5.4}{14}}
-\newlabel{prop:lambda}{{5.5}{14}}
-\newlabel{lm:stopprime}{{5.6}{15}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{6}{Experiments}}{15}}
-\newlabel{sec:prng}{{6}{15}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Pseudo Code of the $\chi _{\textit {15Rairo}}$ PRNG\relax }}{16}}
-\newlabel{CI Algorithm:2}{{2}{16}}
-\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Functions with DSCC Matrix and smallest MT\relax }}{17}}
-\newlabel{table:nc}{{1}{17}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{7}{Conclusion}}{17}}
-\bibstyle{alpha}
-\bibdata{biblio}
-\bibcite{Banks92}{BBCS92}
-\bibcite{bcgr11:ip}{BCGR11}
-\bibcite{Nist10}{BR10}
-\bibcite{chgw14oip}{CHG{$^{+}$}14a}
-\bibcite{DBLP:conf/secrypt/CouchotHGWB14}{CHG{$^{+}$}14b}
-\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces NIST SP 800-22 test results ($\mathbb {P}_T$)\relax }}{18}}
-\newlabel{The passing rate}{{2}{18}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{18}}
-\bibcite{5376454}{CMZ09}
-\bibcite{Devaney}{Dev89}
-\bibcite{guyeuxTaiwan10}{GWB10}
-\bibcite{LevinPeresWilmer2006}{LPW06}
-\bibcite{LEcuyerS07}{LS07}
-\bibcite{Marsaglia1996}{Mar96}
-\bibcite{proba}{MU05}
-\bibcite{915385}{SK01}
-\bibcite{915396}{SPK01}
-\bibcite{wbg10ip}{WBGF10}
-\newlabel{tocindent-1}{0pt}
-\newlabel{tocindent0}{13.28564pt}
-\newlabel{tocindent1}{18.39551pt}
-\newlabel{tocindent2}{26.57129pt}
-\newlabel{tocindent3}{0pt}
