RESEARCH OF VARIATIONAL OPPORTUNITIES OF CHAOS GENERATORS FOR THE FORMATION OF PSEUDONANDOM SEQUENCES

Abstract

In the article was researched the variational opportunities of chaos generators in the formation of pseudo-random sequences that can be used as gamma in stream encryption systems. In cryptographic systems, linear congruential generators or hardware generators with feedback are most often used. The disadvantages of such generators are a short period of formation of pseudo-random numerical sequences, and a limited number of possible combinations. For this reason, it is advisable to research the properties of chaos generators, the period of formation of a sample numbers for which depends on the size of the bit grid of the used computer system.

However, the quality of chaos generators should be evaluated using NIST test system. That is, for the practical application of chaos generators in cryptographic systems, a thorough assessment of their statistical characteristics is necessary. Also, based on chaotic sequences are developed various modulation methods, with the help of which is ensured the structural and energy secrecy of signal constructions. The prerequisites for all this were the characteristics of dynamic chaos: the motion of a deterministic dynamic system, under certain criteria, it has all the qualities of a noise signal; the presence of non-linearity and non-periodicity of the process. A characteristic feature of chaos generators is that minor changes in the initial parameters of the process lead to a significant change in the values of generating fluctuations. It allows to form various trajectories of a chaotic process, based on which it can create an almost unlimited number of combinations of pseudo-random sequences of given length. However, the actual implementation of dynamic chaos for encryption systems or modulation systems requires the search for methods, that can be used to form the initial parameters of the generator based, for example, on the entered password.

On this occasion, it is advisable to evaluate the variational capabilities of chaos generators to set the formation of pseudorandom sequences with the necessary correlation properties. Unfortunately, insufficient attention has been paid to this issue in well-known scientific works, therefore, the prospects of research in this direction determine the relevance of the article. The aim of this article is to research the variational possibilities of chaos generators for the formation of pseudorandom sequences