than in~\cite{conf/fpga/ThomasHL09,Marsaglia2003} (and with a better
statistical behavior). Experiments are also provided using BBS as the initial
random generator. The generation speed is significantly weaker.
-Note also that an original qualitative comparison between topological chaotic
-properties and statistical test is also proposed.
+%Note also that an original qualitative comparison between topological chaotic
+%properties and statistical test is also proposed.
\bigskip
\textit{There seems to have been no effort in showing how the new PRNG improves on a single (say) xorshift generator, considering the slowdown of calling 3 of them per iteration (cf. Listing 1). This could be done, if not with the mathematical rigor of chaos theory, then with simpler bit diffusion metrics, often used in cryptography to evaluate building blocks of ciphers.}
-A large section (Section 5) has been added, using and extending some previous works. It explains with more details why topological chaos
+A large section (Section 2 of the Annex document) has been provided, using and extending some previous works. It explains with more details why topological chaos
is useful to pass statistical tests. This new section contains both qualitative explanations and quantitative (experimental) evaluations.
Using several examples, this section illustrates that defective PRNGs are always improved, according
to the NIST, DieHARD, and TestU01 batteries.