pch

[16dcc.git] / main.aux

diff --git a/main.aux b/main.aux
index 0bd4d611def5da4811adfd65946c11d159577440..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 {}{3.5}{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}
@@ -69,33 +69,33 @@
 \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}}
-\@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}
+\@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}{15}}
-\citation{proba}
+\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{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}
-\@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 {}{8}{Conclusion}}{20}}
 \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}
@@ -106,12 +106,13 @@
 \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}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{21}}
 \newlabel{tocindent-1}{0pt}
 \newlabel{tocindent0}{12.77466pt}
 \newlabel{tocindent1}{17.77344pt}