Hardware/Software Co-Design Implementations of Elliptic Curve Cryptosystems
Turki F. Al-Somani, Esam Ali Khan, Ahmad M. Qamar-ul-I, Hilal Houssain · Information Technology Journal · 2009
This paper presents a survey of hardware/software co-design implementations of elliptic curve cryptosystems. A critical study of the underlying finite field, the representation basis, and the partitioning schemes of these implementations is conducted. The study shows that all implementations are implemented over binary fields GF(2 m) and the implementations that use polynomial basis are more than implementations that use normal basis for finite field arithmetic. The study also shows that the best partitioning scheme, among the surveyed implementations, 1 implements the finite field arithmetic on hardware and the remaining operations of the Elliptic Curve Cryptosystem (ECC) on software.