橢圓曲線密碼系統純量乘法之雙基底數系中抵擋旁道攻擊之策略

Abstract

In this paper, we review a number of methods to calculate the scalar multiplications, including the DBNS that has been gaining popularity in recent years. We review the side channel attacks that can break the cryptosystems by gaining some side channel information from the physical implementation of the cryptosystems. We propose a new algorithm with three schemes that apply the side channel atomicity using Lopez & Dahab coordinates to avoid the side channel attacks. The new algorithm we provided is about 30% faster than the algorithm previously used with Jacobian coordinates.