Analysis of 2-Isogeny Properties of Generalized Form Edwards Curves

被引：0
|
作者：
Bessalov, Anatoly [1 ]
Kovalchuk, Lyudmila [2 ]
Sokolov, Volodymyr [1 ]
Skladannyi, Pavlo [1 ]
Radivilova, Tamara [3 ]
机构：
[1] Borys Grinchenko Kyiv Univ, Kiev, Ukraine
[2] Natl Tech Univ Ukraine, Igor Sikorsky Kyiv Polytech Inst, Kiev, Ukraine
[3] Kharkiv Natl Univ Radio Elect, Kharkiv, Ukraine
来源：
CYBERSECURITY PROVIDING IN INFORMATION AND TELECOMMUNICATION SYSTEMS (CPITS 2020) | 2020年 / 2746卷
关键词：
Generalized Edwards Form Curve; Complete Edwards Curve; Twisted Edwards Curve; Quadratic Edwards Curve; Curve Order; Points Order; Addition of Points; Isomorphism; Isogeny;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：1 / 13
页数：13
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