]> AND Private Git Repository - 16dcc.git/blobdiff - main.aux
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index 6f139013412f5a308b95fe8583437a513839220f..af7621c94ce02019acd4fb6eb0bcd38334980c87 100644 (file)
--- a/main.aux
+++ b/main.aux
 \@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}}
+\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.5}{Proofs of chaos}}{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}
 \citation{ZanSup04}
 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.1}{Analysis of the Robinson-Cohn extension algorithm}}{12}}
 \newlabel{item:nondet}{{1}{12}}
-\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.2}{Balanced Codes}}{13}}
-\newlabel{prop:balanced}{{5.1}{13}}
-\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.3}{Toward a local uniform distribution of switches}}{13}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{6}{Stopping Time}}{13}}
-\newlabel{sec:hypercube}{{6}{13}}
-\citation{LevinPeresWilmer2006}
-\newlabel{eq:Markov:rairo}{{3}{15}}
-\newlabel{lm:h}{{6.2}{15}}
-\citation{proba}
-\newlabel{prop:stop}{{6.4}{16}}
-\newlabel{prop:lambda}{{6.5}{16}}
-\newlabel{lm:stopprime}{{6.6}{17}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{7}{Experiments}}{17}}
-\newlabel{sec:prng}{{7}{17}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Pseudo Code of the $\chi _{\textit  {15Rairo}}$ PRNG\relax }}{18}}
-\newlabel{CI Algorithm:2}{{2}{18}}
-\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Functions with DSCC Matrix and smallest MT\relax }}{19}}
-\newlabel{table:nc}{{1}{19}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{8}{Conclusion}}{19}}
-\bibstyle{alpha}
-\bibdata{biblio}
-\bibcite{Banks92}{BBCS92}
-\bibcite{bcgr11:ip}{BCGR11}
-\bibcite{Nist10}{BR10}
-\bibcite{DBLP:journals/combinatorics/BhatS96}{BS96}
-\bibcite{Bykov2016}{Byk16}
-\bibcite{chgw14oip}{CHG{$^{+}$}14a}
-\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces NIST SP 800-22 test results ($\mathbb  {P}_T$)\relax }}{20}}
-\newlabel{The passing rate}{{2}{20}}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{20}}
-\bibcite{DBLP:conf/secrypt/CouchotHGWB14}{CHG{$^{+}$}14b}
-\bibcite{5376454}{CMZ09}
-\bibcite{Devaney}{Dev89}
-\bibcite{guyeuxTaiwan10}{GWB10}
-\bibcite{LevinPeresWilmer2006}{LPW06}
-\bibcite{LEcuyerS07}{LS07}
-\bibcite{Marsaglia1996}{Mar96}
-\bibcite{proba}{MU05}
-\bibcite{Robinson:1981:CS}{RC81}
-\bibcite{915385}{SK01}
-\bibcite{915396}{SPK01}
-\bibcite{ZanSup04}{SZ04}
-\bibcite{wbg10ip}{WBGF10}
-\newlabel{tocindent-1}{0pt}
-\newlabel{tocindent0}{13.28564pt}
-\newlabel{tocindent1}{18.39551pt}
-\newlabel{tocindent2}{26.57129pt}
-\newlabel{tocindent3}{0pt}
+\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.2}{Balanced Codes}}{12}}