有限域F(2^163)上ECDSA算法研究与实现

Research and Implementation of ECDSA over GF(2^163)

椭圆曲线公钥密码算法,以其独特的优越性,日益成为研究热点。文章深入探讨了关于椭圆曲线基域选取、密钥算法快速实现和椭圆曲线数字签名算法(ECDSA)等问题,并采用INFINEON公司的携带域上求模运算的加速协处理模块(DDES-EC2)的智能卡芯片SLE66CX320P,实现了基于有限域上GF(2n)密钥长度为163bits的ECDSA算法,最后经过测试,证明实现是成功的,运行是高效的。该文的研究对于实现安全性更高的长密钥算法及推广我国加密安全产品的应用有着较为实际的意义。

Elliptic curve cryptosystems over a finite field is becoming a key researching for it's unique superiority.In this paper,some theories about the selecting of the finite field for underlying field of the elliptic curve group,algorithms of the elliptic curve cryptosystems,the fast implementation and ECDSA algorithms are deeply discussed,then based on the SLE66CX320P smart card which embedded with the DDES-EC2,implements the 163bit length's ECDSA algorithms over GF(2n),at last through testing,the result shows that this system runs efficiently and correctly.This research is very useful for the implementation of the large length Elliptic Curve Cryptosystems and has a practical significance on the security product application in our country