摘要： 对二元域上基于Brier-Joye公式的Elgamal椭圆曲线密码体制的安全性进行了分析，给出了抵抗碰撞点攻击的方法，介绍了Brier-Joye公式抵抗信道攻击的椭圆曲线选择标准。

关键词: 侧信道攻击, 碰撞点, 异常点, Elgamal型椭圆曲线密码, Brier-Joye公式

Abstract: This paper analyzes the security of Elgamal elliptic curve cryptosystem with Brier-Joye formula on binary fields, proposes some countermeasures to collision-point attack and gives standards of choosing elliptic curves to resist side channel attack, which make the Brier-Joye formula work well.

Key words: Side channel attack, Collision point, Exceptional point, Elgamal elliptic curve cryptosystem, Brier-Joye formula.