]> AND Private Git Repository - 16dcc.git/blob - main.aux
Logo AND Algorithmique Numérique Distribuée

Private GIT Repository
espace
[16dcc.git] / main.aux
1 \relax 
2 \citation{915396,915385,5376454}
3 \citation{915396,915385}
4 \citation{5376454}
5 \citation{Marsaglia1996}
6 \citation{Nist10}
7 \citation{LEcuyerS07}
8 \citation{Devaney}
9 \select@language{english}
10 \@writefile{toc}{\select@language{english}}
11 \@writefile{lof}{\select@language{english}}
12 \@writefile{lot}{\select@language{english}}
13 \@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Introduction}}{1}}
14 \citation{guyeuxTaiwan10,bcgr11:ip}
15 \citation{wbg10ip}
16 \citation{chgw14oip}
17 \citation{bcgr11:ip}
18 \citation{chgw14oip}
19 \citation{chgw14oip}
20 \citation{DBLP:conf/secrypt/CouchotHGWB14}
21 \@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Preliminaries}}{3}}
22 \newlabel{sec:preliminaries}{{2}{3}}
23 \newlabel{eq:asyn}{{1}{3}}
24 \citation{bcgr11:ip}
25 \citation{bcgr11:ip}
26 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Iteration Graph $\Gamma (f^*)$ of the function $f^*$\relax }}{4}}
27 \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
28 \newlabel{fig:iteration:f*}{{1}{4}}
29 \@writefile{loa}{\contentsline {algocf}{\numberline {1}{\ignorespaces Pseudo Code of the $\chi _{\textit  {14Secrypt}}$ PRNG\relax }}{4}}
30 \newlabel{CI Algorithm}{{1}{4}}
31 \@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Proof Of Chaos}}{4}}
32 \newlabel{sec:proofOfChaos}{{3}{4}}
33 \citation{Devaney}
34 \citation{Banks92}
35 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.1}{Devaney's Chaotic Dynamical Systems}}{5}}
36 \newlabel{subsec:Devaney}{{3.1}{5}}
37 \newlabel{sensitivity}{{3.5}{5}}
38 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.2}{A Metric Space for PRNG Iterations}}{5}}
39 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.3}{A metric on $\mathcal  {X}_{\mathsf  {N},\mathcal  {P}}$}}{6}}
40 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.4}{$\Gamma _{\mathcal  {P}}(f)$ as an extension of $\Gamma (f)$}}{8}}
41 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.5}{Proofs of chaos}}{8}}
42 \newlabel{graphe1}{{2a}{9}}
43 \newlabel{sub@graphe1}{{a}{9}}
44 \newlabel{graphe2}{{2b}{9}}
45 \newlabel{sub@graphe2}{{b}{9}}
46 \@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}}
47 \newlabel{fig:itg}{{2}{9}}
48 \newlabel{prop:trans}{{3.8}{9}}
49 \citation{bcgr11:ip}
50 \citation{DBLP:conf/secrypt/CouchotHGWB14}
51 \@writefile{toc}{\contentsline {section}{\tocsection {}{4}{Functions with Strongly Connected $\Gamma _{\{b\}}(f)$}}{10}}
52 \newlabel{sec:SCCfunc}{{4}{10}}
53 \citation{bcgr11:ip}
54 \citation{Robinson:1981:CS,DBLP:journals/combinatorics/BhatS96,ZanSup04,Bykov2016}
55 \citation{DBLP:journals/combinatorics/BhatS96,ZanSup04}
56 \citation{Bykov2016}
57 \citation{ZanSup04,DBLP:journals/combinatorics/BhatS96}
58 \citation{Bykov2016}
59 \citation{ZanSup04}
60 \@writefile{toc}{\contentsline {section}{\tocsection {}{5}{(Locally) Balanced Hamiltonian Cycle}}{11}}
61 \newlabel{sec:hamilton}{{5}{11}}
62 \citation{Robinson:1981:CS}
63 \citation{DBLP:journals/combinatorics/BhatS96}
64 \citation{ZanSup04}
65 \citation{Robinson:1981:CS}
66 \citation{DBLP:journals/combinatorics/BhatS96}
67 \citation{ZanSup04}
68 \citation{ZanSup04}
69 \citation{ZanSup04}
70 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.1}{Analysis of the Robinson-Cohn extension algorithm}}{12}}
71 \newlabel{item:nondet}{{1}{12}}
72 \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.2}{Balanced Codes}}{12}}