基于智能卡的椭圆曲线数字签名算法的实现

Implementation of elliptic curve digital signature arithmetic based on smart card

椭圆曲线算法只需要较小长度的密钥就可以获得较高的安全性 ,因此非常适合用智能卡来实现椭圆曲线数字签名算法 .首先介绍了智能卡提供的硬件加速模块的特点 ,为提高椭圆曲线数字签名算法的执行速度 ,采用射影坐标代替仿射坐标来表示椭圆曲线 .最后给出了椭圆曲线数字签名算法的执行时间 ,结果表明 ,该算法能够有效地工作 ,与RSA和DSA算法相比 。

Elliptic curve digital signature arithmetic can achieve high security by a shorten key. It is very suitable to realize this arithmetic by smart card. The characteristics of hardware accelerator was introduced. In order to increase the executive speed of arithmetic, projective coordinates is adopted in stead of affine coordinates. The executive time was provided. The result indicates that the arithmetic can work availably, and comparing with RSA and DSA, the executive time of arithmetic is reduced greatly.