New properties of the Edwards form elliptic curve over a prime field

Бессалов, Анатолій Володимирович and Цыганкова, Оксана Валентиновна (2015) New properties of the Edwards form elliptic curve over a prime field Радиотехника (180). pp. 137-148. ISSN 0485-8972

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Abstract

Updating of the addition law of Edwards's curve points over a simple field is offered. 3 theorems of properties of the big order point-coordinates and degenerate pair of twisted curves are proved. The algorithm of reconstruction of all unknown points kP of Edwards curve is offered, if only at 1/8 parts of points is known.

Item Type: Article
Uncontrolled Keywords: elliptic curve; Edwards curve; curve order; points order; Legendre symbol; square; non-square; twisted curves
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 09:42
Last Modified: 21 Dec 2017 09:42
URI: http://elibrary.kubg.edu.ua/id/eprint/22335

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