Let E be a non-supersingular elliptic curve over a finite field Fq. At CRYPTO 2009, Icart introduced a deterministic function Fq → E(Fq) which can be computed efficiently, and ...
FPGAs are an attractive platform for elliptic curve cryptography hardware. Since field multiplication is the most critical operation in elliptic curve cryptography, we have studi...
In this paper we propose a very simple and efficient encoding function from Fq to points of a hyperelliptic curve over Fq of the form H : y2 = f(x) where f is an odd polynomial. Hy...
Recently, and contrary to the common belief, Rivest and Silverman argued that the use of strong primes is unnecessary in the RSA cryptosystem. This paper analyzes how valid this as...
Marc Joye, Jean-Jacques Quisquater, Tsuyoshi Takag...
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...