In this paper, a thorough bottom-up optimization process (field, point and scalar arithmetic) is used to speed up the computation of elliptic curve point multiplication and report ...
For an integer w ≥ 2, a radix 2 representation is called a width-w nonadjacent form (w-NAF, for short) if each nonzero digit is an odd integer with absolute value less than 2w−...
This paper proposes a new method to compute Elliptic Curve Cryptography in Galois Fields GF(p). The method incorporates pipelining to utilize the benefit of both parallel and seri...
Adnan Abdul-Aziz Gutub, Mohammad K. Ibrahim, Ahmad...
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...