An algorithm for selection of a canonic curve isomorphic to the Edwards curve over a prime field

Бессалов, Анатолій Володимирович and Дихтенко, Алиса Анатольевна and Циганкова, Оксана Валентиновна (2014) An algorithm for selection of a canonic curve isomorphic to the Edwards curve over a prime field Радиотехника (175). pp. 195-198.

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Abstract

An algorithm is proposed to obtain a canonical elliptic curve with two points of order four which is isomorphic to an Edwards curve over the prime field. Average estimation is calculated for a number of such curves with non-zero values of the curve parameters a and b. It is proved that for large-characteristic fields a rate of such curves is close to1/4.

Item Type: Article
Uncontrolled Keywords: canonical elliptic curve; Edwards curve; curve twist; curve parameters; isomorphism; quadratic residue; quadratic non-residue
Subjects: Статті у наукометричних базах > Scopus
Divisions: Факультети > Факультет інформаційних технологій та управління > Кафедра інформаційних технологій і математичних дисциплін
Depositing User: професор Анатолій Володимирович Бессалов
Date Deposited: 21 Dec 2017 09:13
Last Modified: 21 Dec 2017 09:13
URI: http://elibrary.kubg.edu.ua/id/eprint/22332

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