Hardware Implementation of Elliptic Curve Cryptography Over Binary Field
This paper presents high-performance Elliptic Curve Cryptography (ECC) architecture over binary field, based on the Montgomery scalar multiplication algorithm. The word-serial finite field Arithmetic Unit (AU) is proposed with the optimized operation scheduling and bit-parallel modular reduction. With a dedicated squarer, the 163-bit point scalar multiplication with coordinate conversion can be done in 20.9Î¼s by the design of one AU, and can be further improved to 11.1Î¼s by the one of three AUs, both using 0.13Î¼m CMOS technology. The comparison with other ECC designs justifies the effectiveness of the proposed architecture in terms of performance and area-time efficiency.