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ANTS
1998
Springer
112views Algorithms» more  ANTS 1998»
13 years 11 months ago
Unit Computation in Purely Cubic Function Fields of Unit Rank 1
Abstract. This paper describes a method for computing the fundamental unit and regulator of a purely cubic congruence function field of unit
Renate Scheidler, Andreas Stein
ANTS
2004
Springer
95views Algorithms» more  ANTS 2004»
13 years 11 months ago
Using Primitive Subgroups to Do More with Fewer Bits
Abstract. This paper gives a survey of some ways to improve the efficiency of discrete log-based cryptography by using the restriction of scalars and the geometry and arithmetic of...
Karl Rubin, Alice Silverberg
ANTS
2008
Springer
99views Algorithms» more  ANTS 2008»
13 years 9 months ago
Point Counting on Singular Hypersurfaces
We discuss how one can extend to hypersurfaces with isolated singularities the methods of Gerkmann, Abbott-Kedlaya-Roe and Lauder for counting points on smooth hypersurfaces.
Remke Kloosterman
ANTS
2008
Springer
83views Algorithms» more  ANTS 2008»
13 years 9 months ago
Enumeration of Totally Real Number Fields of Bounded Root Discriminant
We enumerate all totally real number fields F with root discriminant F 14. There are 1229 such fields, each with degree [F : Q] 9. In this article, we consider the following prob...
John Voight
ALIFE
2002
13 years 7 months ago
Ant Colony Optimization and Stochastic Gradient Descent
In this paper, we study the relationship between the two techniques known as ant colony optimization (aco) and stochastic gradient descent. More precisely, we show that some empir...
Nicolas Meuleau, Marco Dorigo