Some remarks on a new composite random number generator

Some Remarks on Number Theory

This note contains some disconnected minor remarks on number theory . 1 . Let (1) Iz j I=1, 1<j<co be an infinite sequence of numbers on the unit circle . Put n s(k, n) _ z~, Ak = Jim sup I s(k, n) j=1 k=oo and denote by B k the upper bound of the numbers I s(k,n)j . If z j = e 2nij' a =A 0 then all the Ak 's are finite and if the continued fraction development of a has bounded denominators the...

A Perfect Random Number Generator

"Cracking" a Random Number Generator

[Editor’s Note: This paper was original printed in the January 1977, Volume I, Number 1, issue of Cryptologia (pp. 20-26) the premier issue. Over the years this one article has drawn more interest than any other article and requests for reprints of the paper come in year after year. The editors thought it appropriate to offer this paper to our readers. The original paper was set using WordStar ...

Random Number Generator Recommendation

The generation of uniform pseudo-random numbers between 0 and 1 is important in many numerical simulations. The purpose of this report is to explore the best generator(s) of such random numbers in terms of statistical properties and speed. While attempting to find the best generator in general, the specific goal of this report is to find the best generator for Latin hypercube sampling [Iman and...

Linux Random Number Generator

The venerable Linux /dev/random served users of cryptographic mechanisms well for a long time. Its behavior is well understood to deliver entropic data. In the last years, however, the Linux /dev/random showed signs of age where it has challenges to cope with modern computing environments ranging from tiny embedded systems, over new hardware resources such as SSDs, up to massive parallel system...