pch

[16dcc.git] / main.aux

diff --git a/main.aux b/main.aux
index af7621c94ce02019acd4fb6eb0bcd38334980c87..a426c9e5d2c092c30fb3b80b6e65f053387f72ef 100644 (file)
--- a/main.aux
+++ b/main.aux
@@ -38,13 +38,13 @@
 \@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 {}{3.2}{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}}
 \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}
 \newlabel{prop:trans}{{3.8}{9}}
 \citation{bcgr11:ip}
 \citation{DBLP:conf/secrypt/CouchotHGWB14}


@@ -69,4 +69,52 @@
 \citation{ZanSup04}
 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.1}{Analysis of the Robinson-Cohn extension algorithm}}{12}}
 \newlabel{item:nondet}{{1}{12}}
 \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}}{12}}
+\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.2}{Balanced Codes}}{13}}
+\newlabel{prop:balanced}{{5.1}{13}}
+\citation{LevinPeresWilmer2006}
+\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.3}{Toward a local uniform distribution of switches}}{14}}
+\@writefile{toc}{\contentsline {section}{\tocsection {}{6}{Stopping Time}}{14}}
+\newlabel{sec:hypercube}{{6}{14}}
+\newlabel{thm-sst}{{6.1}{15}}
+\newlabel{eq:Markov:rairo}{{3}{15}}
+\newlabel{lm:h}{{6.2}{16}}
+\newlabel{prop:stop}{{6.4}{16}}
+\newlabel{prop:lambda}{{6.5}{16}}
+\citation{proba}
+\newlabel{lm:stopprime}{{6.6}{17}}
+\@writefile{toc}{\contentsline {section}{\tocsection {}{7}{Experiments}}{18}}
+\newlabel{sec:prng}{{7}{18}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Pseudo Code of the $\chi _{\textit  {15Rairo}}$ PRNG\relax }}{18}}
+\newlabel{CI Algorithm:2}{{2}{18}}
+\@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}
+\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Functions with DSCC Matrix and smallest MT\relax }}{20}}
+\newlabel{table:nc}{{1}{20}}
+\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{20}}
+\bibcite{Bykov2016}{Byk16}
+\bibcite{chgw14oip}{CHG{$^{+}$}14a}
+\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}
+\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces NIST SP 800-22 test results ($\mathbb  {P}_T$)\relax }}{21}}
+\newlabel{The passing rate}{{2}{21}}
+\bibcite{Robinson:1981:CS}{RC81}
+\bibcite{915385}{SK01}
+\bibcite{915396}{SPK01}
+\bibcite{ZanSup04}{SZ04}
+\bibcite{wbg10ip}{WBGF10}
+\newlabel{tocindent-1}{0pt}
+\newlabel{tocindent0}{12.77466pt}
+\newlabel{tocindent1}{17.77344pt}
+\newlabel{tocindent2}{25.54932pt}
+\newlabel{tocindent3}{0pt}