Pievniev V. Methodological foundations for monitoring and ensuring the integrity of information in information communication systems.

The object of research - the processes of control and ensuring the integrity of information during the processing, transmission and storage of information in info communication systems (ICS). The purpose of the research is to increase the resource efficiency of modern control technologies and ensure the integrity of information (II) in ICS by developing and implementing methods, tools and information technology (IT) through and continuous monitoring and recovery. Research methods - mathematical modeling, systems of analysis, steganography and stegoanalysis, information security theory, efficiency, complex systems, sets, numbers and fields, probability and Boolean algebra, optimization and parallelization, experimental planning, IDEF methodology. Results - solved the current scientific problem of developing an integrated approach to information integrity in ICS, to eliminate the objective contradiction between the existence of global network and cloud technologies, that enable distributed processing and storage of information, on the one hand, and the imperfection of existing methods and means of its guaranteed protection against unauthorized or accidental distortions, on the other. Novelty - for the first time developed: elements of the theory of pseudo-prime numbers; mathematical model of information security; methods for checking numbers for simplicity; the method of factorization with parallelization; the method of ensuring the integrity of information, which in contrast to the known is based on the procedures of steganography; improved: a method of ensuring the integrity of information; received further development: methodological bases of control and ensuring the integrity of information; method of control and provision of II, which, unlike the known ones, is based on the integrated use of noise-tolerant coding methods, methods for determining prime numbers and steganographic methods. Degree of implementation - implemented at the State Research and Production Enterprise "Communard Association", at the State Enterprise "Southern State Design and Research Institute of Aviation Industry", at the Eastern Commercial Court of Appeal, at the National Technical University "Kharkiv Polytechnic Institute", at the National Aerospace University. M.E. Zhukovsky "KHAI". Industry - II support systems when using IT.