For each number $\mathsf{N}=4,5,6,7,8$ of bits, we have generated
-the functions according the method
-given in Sect.~\ref{sec:SCCfunc} .
+the functions according to the method
+given in Sect.~\ref{sec:SCCfunc}.
For each $\mathsf{N}$, we have then restricted this evaluation to the function
whose Markov Matrix (issued from Eq.~(\ref{eq:Markov:rairo}))
has the smallest practical mixing time.
the second list (namely~14).
In this table the column
-which is labeled with $b$ (respectively by $E[\tau]$)
+that is labeled with $b$ (respectively by $E[\tau]$)
gives the practical mixing time
-where the deviation to the standard distribution is less than $10^{-6}$
+where the deviation to the standard distribution is lesser than $10^{-6}$
(resp. the theoretical upper bound of stopping time as described in
Sect.~\ref{sec:hypercube}).
and the generator is unsuitable. Table~\ref{The passing rate} shows $\mathbb{P}_T$ of sequences based on discrete
chaotic iterations using different schemes. If there are at least two statistical values in a test, this test is
marked with an asterisk and the average value is computed to characterize the statistics.
-We can see in Table \ref{The passing rate} that all the rates are greater than 97/100, \textit{i. e.}, all the generators pass the NIST test.
+We can see in Table \ref{The passing rate} that all the rates are greater than 97/100, \textit{i.e.}, all the generators
+achieve to pass the NIST battery of tests.
+
\begin{table}