Divisor Class Halving Algorithms for Genus Three Hyperelliptic Curves
Divisor Class Halving Algorithms for Genus Three Hyperelliptic Curves作者机构：School of Cyberspace Security Hangzhou Dianzi University School of Mathematical and Statistical Sciences Clemson University
出 版 物：《Chinese Journal of Electronics》 (电子学报(英文))
年 卷 期：2020年第29卷第1期
页 面：97-105页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported by the Key Program of the Nature Science Foundation of Zhejiang Province of China(No.LZ17F020002) the National Natural Science Foundation of China(No.61772166)
主 题：Genus-3 hyperelliptic curve cryptosystem Divisor scalar multiplication Divisor doubling Divisor halving
摘 要：In an(hyper)elliptic curve cryptosystem,the most important operation or the most time-consuming operation is the divisor scalar multiplication which consists of a sequence of doubling(of divisor) and addition(of two divisors). Point halving algorithms for elliptic curve cryptosystem and divisor halving algorithms for genus-2 hyperelliptic curve cryptosystem had been successively put forward to take the place of doubling algorithms for speeding up(hyper)elliptic curve cryptosystem. We present an outline for an algorithm for divisor halving on genus-3 hyperelliptic curves over the binary field and give some explicit formulae for a class of genus-3 *** algorithm improves previously known best doubling algorithms in most cases. A halve-and-add binary method for divisor scalar multiplications is presented.
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