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ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
14 years 1 months ago
Visualizing Elements of Sha[3] in Genus 2 Jacobians
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...
Nils Bruin, Sander R. Dahmen
MOC
1998
93views more  MOC 1998»
13 years 9 months ago
Computing ray class groups, conductors and discriminants
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
CORR
2006
Springer
129views Education» more  CORR 2006»
13 years 9 months ago
The Diffie-Hellman Key Exchange Protocol and non-abelian nilpotent groups
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...
Ayan Mahalanobis
DCC
2007
IEEE
14 years 9 months ago
Efficient pairing computation on supersingular Abelian varieties
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 ...
APPROX
2009
Springer
156views Algorithms» more  APPROX 2009»
14 years 4 months ago
Small-Bias Spaces for Group Products
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 ...
Raghu Meka, David Zuckerman