›› 2012, Vol. 25 ›› Issue (4): 16-.

• 论文 • 上一篇    下一篇

基于边信道原子的椭圆曲线标量乘算法

王宏,朱峰   

  1. (西安通信学院 二系,陕西 西安 710106)
  • 出版日期:2012-04-15 发布日期:2012-04-17
  • 作者简介:王宏(1979—),男,硕士。研究方向:信息安全。

Research on Algorithm for Elliptic Curve Scalar Multiplication Based on Side-Channel Atomicity

 WANG Hong, ZHU Feng   

  1. (No.2 Department,Xi'an Communication Institute,Xi'an 710106,China)
  • Online:2012-04-15 Published:2012-04-17

摘要:

提出了一种能够抵抗简单能量分析攻击的边信道原子结构,减少了椭圆曲线密码体制中标量乘的倍点和点加运算次数,从而节省了运算时间,最后通过调用Crypto++库函数,对于NIST提供的160 bit素域上椭圆曲线编程实现算法,发现此算法的效率比Montgomery Ladder算法提高了37.6%。

关键词: 椭圆曲线密码, 标量乘, 边信道攻击, 边信道原子

Abstract:

This article brings forward an SPA(Simple Power Analysis)-resisting side-channel atomicity that can reduce the frequency of point doubling and point addition thus saving computation time.By exploiting Crypto++ Library we implement our scalar multiplication algorithm for elliptic curve based in 160 bit prime field given by NIST and find that our algorithm is 37.6% faster than Montgomery Ladder algorithm.

Key words: elliptic curve cryptography;scalar multiplication;side-channel attack;side-channel atomicity

中图分类号: 

  • TP301.6