On Pseudorandom Sequences Generated by Modified Lorentz System

This paper presents the results of estimating the statistical characteristics and the period of repeatability of pseudorandom sequences generated by a generator based on a modified Lorentz dynamical system implemented over a Galois field. The analysis is carried out by evaluating the autocorrelation and cross-correlation functions of pseudorandom signal generators, as well as histograms of the probability distribution of the generated numbers. The results of the publication can be used in the design of modern communication systems, for solving information security problems, in cryptography, as well as in modeling systems of various nature.