An Energy-Efficient Dual-Field Elliptic Curve Cryptography Processor for Internet of Things Applications
Ling‐Yu Yeh, Po‐Jen Chen, Chen-Chun Pai, Tsung-Te Liu
Abstract
This brief presents an energy-efficient elliptic curve cryptography (ECC) processor for Internet of Things (IoT) security applications. The proposed processor supports dual-field computations, and employs various design techniques across the algorithm, architecture, and arithmetic circuit levels to minimize power and energy consumption. The proposed elliptic curve point multiplication (ECPM) algorithm employs signed binary representation (SBR) with the m-ary method to reduce both area and energy consumption, while avoiding attack from simple power analysis (SPA). In addition, the proposed hybrid modular arithmetic architecture effectively increases the hardware utilization to reduce both area and energy cost. Finally, the proposed processor uses an energy-efficient data flow to further minimize memory overhead for group operations. The proposed ECC processor achieves 51.6% and 50.5% lower energy consumption for each GF(p) and GF(2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</sup> ) ECPM operation, respectively, when compared to state-of-the-art ECC designs.