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.
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页数：9
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