Publication: Computing in Finite Fields
Дата
2022
Авторы
Kozlov, A. A.
Chugunkov, I. V.
Gatilova, L. D.
Ivanov, M. A.
Kliuchnikova, B. V.
Salikov, E. A.
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© 2022 IEEE.The mathematical apparatus of Galois field theory is used in coding theory, cryptography, stochastic informatics. The paper considers algorithms for multiplying field elements, while paying attention to both table multiplication and multiplication on the fly; algorithms for calculating multiplicative inversion. The solution to the problem of finding primitive elements of the field GF (pn) is discussed. The questions of extension of finite fields are considered. Numerical examples of the operation of all considered algorithms are given.
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Computing in Finite Fields / Kozlov, A.A. [et al.] // Proceedings of the 2022 Conference of Russian Young Researchers in Electrical and Electronic Engineering, ElConRus 2022. - 2022. - P. 273-276. - 10.1109/ElConRus54750.2022.9755751