Havrylova A. Models and methods of integrity and authenticity control based on the UMAC cascade algorithm

The dissertation study is devoted to the topical issues of developing new and improving existing models and methods for ensuring the integrity and authenticity of information circulating in cyberspace in the post-quantum period. In the conditions of the rapid growth of computing capabilities for breaking cryptographic algorithms, there is a need for the development and practical implementation of algorithms for ensuring security services – integrity and authenticity. To ensure security services (integrity and authenticity), hashing and digital signature algorithms are usually used, but the analysis conducted by NIST specialists in 2020 indicates that the existing algorithms in the post-quantum cryptoperiod will not provide the required level of security and may be broken. Cyber threats can be implemented through weaknesses in hashing algorithms. There are a number of approaches to creating hash codes to increase the crypto-resistance of transmitted messages, but practical studies allow us to talk about the imperfection of existing hashing options in terms of the speed of their formation and the degree of crypto-resistance. To eliminate this shortcoming, it is proposed to use a pseudo-random layer with cryptographically stable algorithms. But none of the known algorithms provides stability to quantum computers