分析了一种运用平衡点加一倍点操作抗边信道攻击的椭圆曲线标量乘法。方法虽然使点加和倍点的功耗不可区分,但是当标量用二进制表示时,标量乘法的运算功耗仍有边信息泄露。对标量乘算法的传统功耗攻击主要集中在点加运算和倍点运算之间的功耗差异上,文中将攻击点转移到标量乘算法中for语句和if语句之间的功耗差异上,并成功对平衡点加一倍点操作后的标量乘功耗曲线实现了简单功耗攻击。
This paper analysis a kind of methods to resist side channel attacks using the operation to balance point ad- dition and doubling on scalar multiplication in elliptic curve. Although this operation makes no distinguish information of point addition and doubling, we can still get scalar information when it is shown in binary. Traditional power at- tack mainly concentrated in the distinguish between point addition and doubling, but this paper transferred attention to the differences by power consumption between statement and , and through SPA attack , successfully get the Key information from the power curve of scalar multiplication in elliptic curve after point addition and doubling.