From: jim bell <jdb10987@yahoo.com>


From: Georgi Guninski <guninski@guninski.com>

On Thu, Aug 03, 2017 at 01:54:06PM -0500, \0xDynamite wrote:

>> Speaking of cryptography (harhar), I was contemplating an idea to
>> generate random streams of random numbers using chaos theory (not the
>> first), specifically the logistic equation [3.5x(1-x)], when I came
>> across the argument (http://www.cs.utsa.edu/~wagner/laws/chaos.html)
>> that such generators are "psuedo-random", but I don't think is true.

>I would suggest to make a toy implementation say in pari/gp or sagemath
and then evaluate it.

>There are quantitative estimates how "random" a sequence of bytes is.
Both as services and standalone applications.

>IIRC they look for bias, like the rank of matrices over some field.

>Per rough memories the number Pi failed the crypto randomness test. 
>According to some "there is order in chaos, especially fractals" ;)

An interesting treatment of the subject:    http://www2.lbl.gov/Science-Articles/Archive/pi-random.html   

                        Jim Bell

This is a data sheet for a random number generator IC:   http://www.fdk.com/cyber-e/pdf/HM-RAE001.pdf