Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2019, Volume 10, Issue 2, Pages 135–144
DOI: https://doi.org/10.4213/mvk291 (Mi mvk291) 		 
Construction of strong elliptic curves suitable for cryptographic applications

A. Yu. Nesterenko

HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE), Moscow, Russia
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DOI: https://doi.org/10.4213/mvk291
Abstract: An algorithm for the construction of elliptic curves satisfying special requirements is presented. The choice of requirements aims to prevent known attacks on the elliptic curve discrete logarithm problem in special cases. The results of practical experiments are discussed, some parameters of concrete elliptic curves are given.
Key words: elliptic curve, discrete logarithm problem, complex multiplication.
Received 06.II.2018
Document Type: Article
UDC: 519.719.2
Language: English
Citation: A. Yu. Nesterenko, “Construction of strong elliptic curves suitable for cryptographic applications”, Mat. Vopr. Kriptogr., 10:2 (2019), 135–144
Citation in format AMSBIB
\Bibitem{Nes19}
\by A.~Yu.~Nesterenko
\paper Construction of strong elliptic curves suitable for cryptographic applications
\jour Mat. Vopr. Kriptogr.
\yr 2019
\vol 10
\issue 2
\pages 135--144
\mathnet{http://mi.mathnet.ru/mvk291}
\crossref{https://doi.org/10.4213/mvk291}
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