Pseudorandom number generator based on Arnold cat map and statistical analysis

Analysis of Chaotic Image Encryption Using 1D Logistic Map, 2D Arnold Cat Map and 3D Arnold Cat Map

Analyzing the randomness, complexity and efficiency of chaotic image encryption using 1D Logistic map, 2D Arnold cat map or 3D Arnold cat map is proposed here. The keys for the encryption process are generated from the biometric image of the sender. Initially the biometric fingerprint image of the sender is captured using a scanner, which is preprocessed to the grey level image. By using an eff...

Pseudorandom number generator based on the Bernoulli map on cubic algebraic integers

Abstract We develop a method for generating pseudorandom binary sequences using the Bernoulli map on cubic algebraic integers. The distinguishing characteristic of our generator is that it generates chaotic true orbits of the Bernoulli map by exact computation. In particular, we clarify a way to properly prepare a set of initial points (i.e., seeds), which is needed when generating multiple pse...

MUGI Pseudorandom Number Generator

A Pseudorandom Bit Generator based on Chaotic Coupled Map Lattices

In this paper, we discuss the properties of making a deterministic algorithm suitable to generate a pseudo random sequence of numbers: high value of Kolmogorov-Sinai entropy, high dimensionality of the parent dynamical system, and very large period of the generated sequence. We propose the chaotic coupled map lattices as a pseudo random number generator. We show what chaotic features of the cou...

On a nonlinear congruential pseudorandom number generator

A nonlinear congruential pseudorandom number generator with modulus M = 2w is proposed, which may be viewed to comprise both linear as well as inversive congruential generators. The condition for it to generate sequences of maximal period length is obtained. It is akin to the inversive one and bears a remarkable resemblance to the latter.