X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/16dcc.git/blobdiff_plain/19a155db210ef35cc04c0184f35ffd12a014a855..66ea391a3e386a6ed3b47d5011977ca136f65ad2:/main.aux diff --git a/main.aux b/main.aux index 0bd4d61..a426c9e 100644 --- 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}