Isomorphism of not supersingular curves over fields charaktreistik 2 and Edwards's curves with one parameter

Бессалов, Анатолій Володимирович and Дихтенко, Алиса Анатольевна (2014) Isomorphism of not supersingular curves over fields charaktreistik 2 and Edwards's curves with one parameter Радіотехника (176). pp. 88-93.

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Abstract

Affine and projective representations of an elliptic curve in the form of Edwards over the fields F^2m are considered. Estimates of complexity of performance of group operations in projective coordinates are given. Living conditions of not supersingular curve, an isomorphic curve of Edwards with one parameter d are received. For the known standard curves meeting these conditions Edwards's curves are found isomorphic it.

Item Type: Article
Uncontrolled Keywords: expanded field of the characteristic 2; not supersingular curve; Edwards's curve; Koblits's curve; group law;
Subjects: Articles in journals > Фахові (входять до переліку фахових, затверджений МОН)
Divisions: Institutes > Institute of Society > Chair of Information Technologies and Mathematics > Chair of Computer Science
Depositing User: професор Анатолій Володимирович Бессалов
Date Deposited: 08 Oct 2015 06:18
Last Modified: 15 Dec 2017 11:03
URI: http://elibrary.kubg.edu.ua/id/eprint/9920

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