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2019-12-30
Yakymenko, I. Z., Kasianchuk, M. M., Ivasiev, S. V., Melnyk, A. M., Nykolaichuk, Ya. M..  2018.  Realization of RSA Cryptographic Algorithm Based on Vector-Module Method of Modular Exponention. 2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET). :550-554.

The improvement of the implementation of the RSA cryptographic algorithm for encrypting / decoding information flows based on the use of the vector-modular method of modular exponential is presented in this paper. This makes it possible to replace the complex operation of modular multiplication with the addition operation, which increases the speed of the RSA cryptosystem. The scheme of algorithms of modular multiplication and modular exponentiation is presented. The analytical and graphical comparison of the time complexities of the proposed and known approaches shows that the use of the vector-modular method reduces the temporal complexity of the modular exponential compared to the classical one.