X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/prng_gpu.git/blobdiff_plain/e413aa9f2f3893a394428e26368d44eaa851a986..d5edcd3d7b79a64307eacf4352400b1ee48c7bbb:/prng_gpu.tex

diff --git a/prng_gpu.tex b/prng_gpu.tex
index f7499d9..ce0bcc5 100644
--- a/prng_gpu.tex
+++ b/prng_gpu.tex
@@ -40,6 +40,9 @@
 
 \newcommand{\alert}[1]{\begin{color}{blue}\textit{#1}\end{color}}
 
+
+\newcommand{\PCH}[1]{\begin{color}{blue}#1\end{color}}
+
 \title{Efficient and Cryptographically Secure Generation of Chaotic Pseudorandom Numbers on GPU}
 \begin{document}
 
@@ -1600,7 +1603,16 @@ as it is shown in the next sections.
 \section{Security Analysis}
 \label{sec:security analysis}
 
-
+\PCH{This section is dedicated to the analysis of the security of the
+  proposed PRNGs from a theoretical point of view. The standard definition
+  of {\it indistinguishability} used is the classical one as defined for
+  instance in~\cite[chapter~3]{Goldreich}. It is important to emphasize that
+  this property shows that predicting the future results of the PRNG's
+  cannot be done in a reasonable time compared to the generation time. This
+  is a relative notion between breaking time and the sizes of the
+  keys/seeds. Of course, if small keys or seeds are chosen, the system can
+  be broken in practice. But it also means that if the keys/seeds are large
+  enough, the system is secured.}
 
 In this section the concatenation of two strings $u$ and $v$ is classically
 denoted by $uv$.