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Title: Efficient application of the residue number system in elliptic cryptography
Authors: Babenko, M. G.
Бабенко, М. Г.
Redvanov, A. S.
Редванов, А. С.
Keywords: Arithmetic operations;Weighted number system;Cryptography;Doubling points;Elliptic curve;Residue number system (RNS);Numbering systems;Public key cryptography
Issue Date: 2022
Publisher: Springer Science and Business Media Deutschland GmbH
Citation: Babenko, M., Redvanov, A., Djurabaev, A. Efficient application of the residue number system in elliptic cryptography // Lecture Notes in Electrical Engineering. - 2022. - Том 857 LNEE. - Стр.: 474 - 486. - DOI10.1007/978-3-030-94202-1_44
Series/Report no.: Lecture Notes in Electrical Engineering
Abstract: The article is devoted to the study of the efficiency of arithmetic operations with points of an elliptic curve using the residue number system. Based on the obtained data, it was found that the use of the residue number system with moduli of a special type from the operations with an elliptic curve from NIST FIPS 186 allows gaining 7.72% for the operation of addition and 7.50% for the operation of doubling points of an elliptic curve on average.
Appears in Collections:Статьи, проиндексированные в SCOPUS, WOS

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