【摘要】 介绍了椭圆曲线及其相关知识以及目前椭圆曲线密码体制研究的三大热点:椭圆曲线上的快速点加运算、椭圆曲线密码体制的安全性分析、安全椭圆曲线的产生,最后给出了一个典型的椭圆曲线密码体制的实例.反映了椭圆曲线密码体制的发展状况以及当前面临的问题,阐述了该领域的最新发展方向.更多还原

【Abstract】 In this paper, the concepts of elliptic curve and their related knowledge are introduced briefly. Then,three focuses on the elliptic curve in the present are given:fast algorithm of point add of elliptic curve cryptosystem, analysis of elliptic curve cryptosystem in the security,generation of secure elliptic curve. At last, a kind of typical example of elliptic curve cryptosystem is raised. As a summary, the status of the elliptic curve cryptosystem and the problems that this cryptosystem face now are reflected. And the newest development in this area are covered.更多还原