Abstract. Mazur proved that any element ξ of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in...
We use the algorithmic computation of exact sequences of Abelian groups to compute the complete structure of (ZK /m)∗ for an ideal m of a number field K, as well as ray class gr...
Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
In this paper we study a key exchange protocol similar to the DiffieHellman key exchange protocol, using abelian subgroups of the automorphism group of a non-abelian nilpotent gro...
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 ...
Small-bias, or -biased, spaces have found many applications in complexity theory, coding theory, and derandomization. We generalize the notion of small-bias spaces to the setting ...