Pseudo-Random Signal Generator Based on the Rössler System Implemented Over a Finite Galois Field

This paper presents the results of tests of FIPS 140-2 pseudo-random signal generators built on the basis of the Rössler dynamic system. The statistical characteristics of a pseudorandom signal generator based on the converted Rössler system over the Galois field are presented. The analysis of auto-correlation and cross-correlation functions is carried out, estimates of the levels of their side lobes, histograms of the probability distribution of the generated numbers are obtained. The publication results can be applied in the design of communication systems with broadband signals, solving problems of modeling systems of various nature and cryptography.