Abstract. We present a general technique for the efficient computation of pairings on supersingular Abelian varieties. This formulation, which we call the eta pairing, generalises ...
Paulo S. L. M. Barreto, Steven D. Galbraith, Colm ...
Abstract. We show that finding an efficiently computable injective homomorphism from the XTR subgroup into the group of points over GF(p2 ) of a particular type of supersingular e...
This paper proposes candidate one-way functions constructed with a certain type of endomorphisms on non-supersingular elliptic curves and presents several pieces of evidence of the...
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...
This paper describes the design of a fast multi-core library for the cryptographic Tate pairing over supersingular elliptic curves. For the computation of the reduced modified Tat...