X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/16dcc.git/blobdiff_plain/236f25b2f3a081b11c71bedad6d044d695ce2cca..31468b39be240f447015be22c252d515b2dcfdac:/conclusion.tex diff --git a/conclusion.tex b/conclusion.tex index a9bf636..2705043 100644 --- a/conclusion.tex +++ b/conclusion.tex @@ -14,11 +14,11 @@ applied here to generate function $f$ with strongly connected $\Gamma_{\mathcal{P}}(f)$. The iterated map inside the generator is built by first removing from a $\mathsf{N}$-cube an Hamiltonian path and next -adding a self loop to each vertex. -The PRNG can thus be seen as a random walks of length in $\mathsf{P}$ -into $\mathsf{N}$ this new cube. -We furthermore have exhibit a bound on the number of iterations -that are sufficient to obtain a uniform distribution of the output. +by adding a self loop to each vertex. +The PRNG can thus be seen as a random walk of length in $\mathsf{P}$ +into this new $\mathsf{N}$-cube. +We furthermore have exhibited a bound on the number of iterations +that is sufficient to obtain a uniform distribution of the output. Finally, experiments through the NIST battery have shown that the statistical properties are almost established for $\mathsf{N} = 4, 5, 6, 7, 8$.