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ANTS
2010
Springer
241views Algorithms» more  ANTS 2010»
14 years 3 months ago
Explicit Coleman Integration for Hyperelliptic Curves
Jennifer S. Balakrishnan, Robert W. Bradshaw, Kira...
ANTS
2010
Springer
257views Algorithms» more  ANTS 2010»
14 years 3 months ago
On the Use of the Negation Map in the Pollard Rho Method
Joppe W. Bos, Thorsten Kleinjung, Arjen K. Lenstra
ANTS
2010
Springer
263views Algorithms» more  ANTS 2010»
14 years 3 months ago
Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...
John Voight
ANTS
2010
Springer
252views Algorithms» more  ANTS 2010»
14 years 3 months ago
Pairing the Volcano
Sorina Ionica, Antoine Joux
ANTS
2010
Springer
265views Algorithms» more  ANTS 2010»
14 years 3 months ago
Factoring Polynomials over Local Fields II
Sebastian Pauli
ANTS
2010
Springer
274views Algorithms» more  ANTS 2010»
14 years 3 months ago
Learning with Errors over Rings
Oded Regev
ANTS
2010
Springer
248views Algorithms» more  ANTS 2010»
14 years 3 months ago
Huff's Model for Elliptic Curves
Abstract. This paper revisits a model for elliptic curves over Q introduced by Huff in 1948 to study a diophantine problem. Huff's model readily extends over fields of odd cha...
Marc Joye, Mehdi Tibouchi, Damien Vergnaud
ANTS
2010
Springer
216views Algorithms» more  ANTS 2010»
14 years 3 months ago
Efficient Pairing Computation with Theta Functions
In this paper, we present a new approach based on theta functions to compute Weil and Tate pairings. A benefit of our method, which does not rely on the classical Miller's alg...
David Lubicz, Damien Robert