Integer addition is a universal building block, and applications such as quad-precision floating-point or elliptic curve cryptography now demand precisions well beyond 64 bits. Thi...
Florent de Dinechin, Hong Diep Nguyen, Bogdan Pasc...
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...
For AES 128 security level there are several natural choices for pairing-friendly elliptic curves. In particular, as we will explain, one might choose curves with k = 9 or curves w...
This paper presents a new approach to precompute all odd points [3]P, [5]P, . . . , [2k - 1]P, k 2 on an elliptic curve over Fp. Those points are required for the efficient evalua...