Faster isogeny computation on twisted Hessian curves

被引：0

作者：

Tao, Zheng ^{[1
]}

Hu, Zhi ^{[1
]}

Zhou, Zijian ^{[2
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

[2] Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410083, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 444卷

基金：

中国国家自然科学基金;

关键词：

Twisted Hessian curves; Isogenies; Scalar multiplication; Computation;

D O I：

10.1016/j.amc.2022.127823

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Isogenies between elliptic curves have been the subject of recent study due to their sig-nificance in the post quantum cryptosystem based on isogeny. Various methods for faster isogeny computation have been proposed on different elliptic curve models. In this paper, we generalize a w-coordinate system to twisted Hessian curves. Based on the w-coordinate system, the computation of scalar multiplication and isogeny on twisted Hessian curves could be notably simplified.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：9

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