浅析椭圆曲线密码体制

Introduction of Elliptic Curve Cryptography

椭圆曲线上的公钥密码体制能够提供与其他公钥密码体制相同的安全性,而使用的密钥长度却要短的多。介绍了椭圆曲线密码体制的数学基础,及其应用模型,并为计算椭圆曲线的阶提出了一个有效的算法。

Elliptic curve groups is advantageous because it can provide equivalent security as the oth-er group but with smaller key sizes,a nd faster computation times.This paper introduce the math basis of Elliptic curve cryptography,and it' s cryptosystems,then provide a valid method to compute the order of Elliptic curve.