Research methods of analysis of cryptographic information security systems in classical and quantum computing models with the additional data and operating conditions

Models for non-Markov SP networks that use several different S-blocks in one encryption round are built, and algorithms for calculating upper bounds for differential probabilities are specified. The criteria for the practical selection of ARX cryptographic primitives with certain properties based on the automatic evaluation of stability are developed. The cryptanalysis of the new blockchain encryption standard of Ukraine "Kalina" and separate units of the blockchain encryption standard of the Republic of Belarus STB 34.101.31-2011 "BeLT" has been carried out. A modification of the cubic attack on the SIMECK cipher using information from the side channel was made. The complexity of group operations for twisted Edwards curves and the expediency of developing a new national standard of Ukraine based on the Edwards curves were obtained. Four models of the attacker, depending on its computing capabilities, quantum computing and access to the oracle, which calculates the studied cryptographic transformation, are constructed. The criterion for the effective partial solution of the generalized symmetric decomposition problem in the post-quantum model of calculations is developed. Formal models of the communication system and the attacker in terms of kleptography, ways to identify potential kleptographic mechanisms and methods of eliminating or reducing hidden channels have been developed.