Preventing Distinguishability between Multiplication and Squaring Operations
arXiv:2604.26536
Abstract
Scalar multiplication kP is a critical operation in Elliptic Curve Cryptosystems (ECC), often targeted by Side-Channel Analysis (SCA). Despite strategies based on atomic patterns to enhance security, the binary kP algorithms remain susceptible to simple SCA due to energy consumption variations in field multipliers during passing two different or two identical operands. This vulnerability arises independent of the multiplication method used. We implemented and analysed two mitigation techniques: one involving data redirection and another focusing on bus reloading.
presented at the 4th Workshop on Nano Security (at the Design, Automation and Test in Europe Conference 2026)