摘要
椭圆曲线密码体制有着巨大的发展前景,然而其运算速度限制了它在实际应用中的发展。本文综合分析了仿射坐标系统、影射坐标系统、雅可比坐标系统、五元素雅可比坐标系统在加法和倍点运算上的优缺点,提出了一个改进的雅可比坐标系统,并且建议使用混合的坐标系统来改进椭圆曲线上的加法和倍点运算的速度。
Elliptic cryptosystems have a gargantuan potential in cryptography field,however the operation speed of this system limits its development.This paper analysizes the characteristics of the affine coordinate system,the mapping coordinate system,the Jacobian coordinate systetm and the five element Jacobian coordinate system.Then It brings forward an improving Jacobian coordinate system. and proposes to use mixed coordinated system to improve the operation speed on elliptic curve.
出处
《信息技术》
2004年第9期38-40,44,共4页
Information Technology
