一个基于超椭圆曲线的代理签名  

A Proxy Signature Scheme Based on Hyper Elliptic Curve Cryptosystems

作　　者：蔡庆华[1] 

机构地区：[1]安庆师范学院计算机与信息学院,安徽安庆246011

出　　处：《计算机技术与发展》2010年第7期160-163,共4页Computer Technology and Development

基　　金：国家自然科学基金(60773128);安徽省自然科学基金(KJ2007B043);安徽省高校青年教师资助项目(2007JQL122)

摘　　要：现有的代理数字签名方案大多基于离散对数问题和大数因子分解问题,其安全性受到较大威胁。为提高安全性,在对现有方案分析后,提出了一种新的代理签名方案。与椭圆曲线相比,超椭圆曲线是一种新的密码体制,具有速度快、基域小的优点。文中将代理签名的思想应用于超椭圆曲线数字签名,提出了一种新的基于超椭圆曲线的代理签名方案,并对方案的复杂性和安全性进行了分析。经过比较,本方案比基于椭圆曲线的方案在安全性上有显著提高,在电子商务中有很好的应用。Up to now all the known proxy digital signature schemes are based on discrete logarithmic problems or big number factorization problems.To strengthen proxy signature security,and analyses of proxy signature scheme in being,this paper proposed a proxy signature scheme based on the hyper elliptic curve cryptography.HECC has a lot of advantages over ECC,it is faster and the basis field is smaller.In this paper,show how to apply the idea of proxy digital signature scheme to HECC and present a new scheme.Furthermore,also analyze the new scheme＇s computation complexity and security problem.This scheme is better than that of elliptic curve cryptography on performance of security.It plays a better role in electronic commerce.

关 键 词：超椭圆曲线密码体制 Jacobian群 代理数字签名 电子商务 除子 亏格 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]