Kosovan H. Synthesis of pseudo-random sequence generators with nonlinear dynamics for protection of information in telecommunication systems

The object of the study are process of forming of pseudorandom sequences based on chaotic systems, as well as processes of cryptographic close of information with the help of synthesized PRB generators. Subject of research - pseudorandom sequence generators based on single- and multidimensional chaotic systems for the protection of information in telecommunication systems. Research methods. In solving the set tasks in work methods of numerical integration of systems of nonlinear differential equations, mathematical modeling of nonlinear dynamics (bifurcation diagrams, phase portraits), methods of probability theory and random processes for studying the statistical characteristics of pseudorandom generators and elements of cryptanalysis for evaluation of the stability of encryption methods Theoretical and practical results: The generator of PVP bits is improved, based on two one-dimensional chaotic systems, formed by the operation of summing modulo two corresponding elements of pseudorandom sequences generated by one-dimensional chaotic generators; For the first time, the generator of the forming of pseudorandom sequences on the basis of two nonlinear chaotic systems was proposed, the values of chaotic oscillations generated by the logistic map serve as a dynamic threshold for decision making regarding the value of bits in pseudorandom sequences generated by the Lorentz system; The classical method of M. Baptista of the text information encryption improved by using two chaotic systems, namely the Ressler system and the cubic map; The method of encrypting images on the basis of formed logistic, square and cubic functions of chaotic map of pixel lattice is improved.