Analysis of 2-Isogeny Properties of Generalized Form Edwards Curves

Bessalov, Anatoly and Kovalchuk, L. and Sokolov, V. Y. and Skladannyi, Pavlo and Radivilova, T. (2020) Analysis of 2-Isogeny Properties of Generalized Form Edwards Curves Cybersecurity Providing in Information and Telecommunication Systems, 2746. pp. 1-13. ISSN 1613-0073

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Abstract

The analysis of the 2-isogeny existence conditions of generalized Edwards form curves over a prime field, including complete, quadratic, and twisted Edwards curves, is presented. An overview of the properties of these three classes of curves is given. Generalization of the results known for the classes of complete and quadratic curves to the class of twisted Edwards curves is obtained. A modified law of point’s addition is used to correctly determine the isogeny degree.

Item Type: Article
Additional Information: EID: 2-s2.0-85096935822
Uncontrolled Keywords: generalized Edwards form curve; complete Edwards curve; twisted Edwards curve; quadratic Edwards curve; curve order; points order; addition of points; isomorphism; isogeny
Subjects: Статті у наукометричних базах > Scopus
Divisions: Факультети > Факультет інформаційних технологій та управління > Кафедра інформаційної та кібернетичної безпеки
Depositing User: Volodymyr Sokolov
Date Deposited: 21 Dec 2020 16:02
Last Modified: 21 Dec 2020 16:02
URI: http://elibrary.kubg.edu.ua/id/eprint/33908

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