Distribution of periodic trajectories of C-K systems MIXMAX pseudorandom number generator

The MIXMAX random number generator

In this note, we give a practical solution to the problem of determining the maximal period of matrix generators of pseudo-random numbers which are based on an integer-valued unimodular matrix of size NxN known as MIXMAX and arithmetic defined on a Galois field GF[p] with large prime modulus p. The existing theory of Galois finite fields is adapted to the present case, and necessary and suffici...

Periodic structure of the exponential pseudorandom number generator

We investigate the periodic structure of the exponential pseudorandom number generator obtained from the map x 7→ gx (mod p) that acts on the set {1, . . . , p− 1}.

MUGI Pseudorandom Number Generator

Yet Another Pseudorandom Number Generator

We propose a novel pseudorandom number generator based on Rössler attractor and bent Boolean function. We estimated the output bits properties by number of statistical tests. The results of the cryptanalysis show that the new pseudorandom number generation scheme provides a high level of data security. Keywords—Rössler attractor, bent Boolean function, pseudorandom number generator.

The Linux Pseudorandom Number Generator Revisited

The Linux pseudorandom number generator (PRNG) is a PRNG with entropy inputs which is widely used in many security related applications and protocols. This PRNG is written as an open source code which is subject to regular changes. It was last analyzed in the work of Gutterman et al. in 2006 [GPR06] but since then no new analysis has been made available, while in the meantime several changes ha...