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2020-04-03
Kuznetsov, Alexandr, Kiian, Anastasiia, Gorbenko, Yurii, Smirnov, Oleksii, Cherep, Oleksandr, Bexhter, Liliia.  2019.  Code-based Pseudorandom Generator for the Post-Quantum Period. 2019 IEEE International Conference on Advanced Trends in Information Theory (ATIT). :204—209.
This paper focuses on research of a provably secure code-based pseudorandom sequence generators whose cryptanalysis problem equals to syndrome decoding (belonging to the NP-complex class). It was found that generated sequences of such well-known Fischer-Stern code-based generator don’t have a maximum period, the actual period is much lower than expected. In our work, we have created a new generator scheme. It retains all advantages of the Fisher-Stern algorithm and provides pseudorandom sequences which are formed with maximum period. Also comparative analysis of proposed generator and popular generators was conducted.
2020-01-20
Krasnobaev, Victor, Kuznetsov, Alexandr, Babenko, Vitalina, Denysenko, Mykola, Zub, Mihael, Hryhorenko, Vlada.  2019.  The Method of Raising Numbers, Represented in the System of Residual Classes to an Arbitrary Power of a Natural Number. 2019 IEEE 2nd Ukraine Conference on Electrical and Computer Engineering (UKRCON). :1133–1138.

Methods for implementing integer arithmetic operations of addition, subtraction, and multiplication in the system of residual classes are considered. It is shown that their practical use in computer systems can significantly improve the performance of the implementation of arithmetic operations. A new method has been developed for raising numbers represented in the system of residual classes to an arbitrary power of a natural number, both in positive and in negative number ranges. An example of the implementation of the proposed method for the construction of numbers represented in the system of residual classes for the value of degree k = 2 is given.