PROPERTIES OF GENERATORS OF PSEUDO-RANDOM SEQUENCES CONSTRUCTED USING FUZZY LOGIC AND TWO-DIMENSIONAL CHAOTIC SYSTEMS

Abstract

Context. The problem of generating pseudo-random sequences of bits using the rules of fuzzy logic and two-dimensional chaotic systems is considered. Objective. Pseudo-random sequences generators built using two-dimensional chaotic systems and fuzzy logic. The purpose of the work is to develop and implement pseudo-random bit sequences generators based on the rules of fuzzy logic and two-dimensional chaotic systems and to evaluate the statistical characteristics of the generated sequences using statistical tests of National Institute of Standards and Technology. Method. A method for generating pseudo-random bit sequences is proposed, which allows form bit sequences with characteristics that meet the requirements of secure communication systems and cryptographic protection of information based on the rules of fuzzy logic and two-dimensional chaotic systems. In the process of studying the operation of generators, histograms of the distribution of output values were constructed, which allows to clearly determine whether the entire range of output values of the twodimensional system could be used to generate pseudo-random bit sequence or only part of it. A study of the statistical characteristics of the generated sequences using a set of statistical tests was also performed. Results. Bit sequences formed using fuzzy logic rules and two-dimensional chaotic systems can be used to transmit information in secure communication systems. Results. The proposed generators were implemented in software, histogram analysis and evaluation of compliance with the criteria for a set of statistical tests of National Institute of Standards and Technology. Conclusions. The experiments confirmed the ability of the proposed generators to generate bit sequences with good statistical characteristics, which allows them to be recommended for use in practice in solving problems of cryptographic protection of information and secure transmission of information over open communication channels. Prospects for further research may be to create cryptographic methods of information protection based on the proposed pseudo-random bit sequences generators, the implementation of secure communication systems.