平稳与平衡——椭圆曲线密码体制抗旁信道攻击的策略与手段

Stationarity and Balance—Strategies and Methods of Elliptic Curve Cryptosystem Against Side Channel Attacks

旁信道攻击方法(sidechannelattack)通过对密码系统的一些特殊信息的获取来进行分析与攻击·对于椭圆曲线密码体制,最主要的就是要使标量乘能够抵抗旁信道攻击方式,密码学界的研究者在这方面做了很多具体且细致的工作,从各个不同的角度提出了很多新的算法与方案·综述了椭圆曲线密码体制上抗旁信道攻击的进展情况,以“平稳”与“平衡”作为两条线索,讨论了椭圆曲线密码系统上抗旁信道攻击的各种策略和方案,指出了它们各自的优劣以及适用范围,并在最后探讨了该领域未来研究和发展方向·

Side channel attacks are a recent class of attacks, which use observations such as timings or power consumption measurements in order to obtain information that is supposed to be kept secret and revealed to be very powerful in practice. In elliptic curve cryptosystems, a particular target for side channel attacks is algorithms used for point multiplication. For speeding up elliptic curve scalar multiplication and making it secure against side channel attacks, various methods are proposed using specially chosen elliptic curves, the special presentations of points on the curve, and other techniques. The surveys of the achievements of algorithms and implementations of elliptic curve cryptosystem to defense against side channel attacks based on the two main views of stationarity and balance are presented. The advantage and disadvantage of each method are also pointed out here. Finally, several main directions of future research on this topic are pointed out as well.