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ANTS
2004
Springer
106views Algorithms» more  ANTS 2004»
14 years 4 months ago
The Discrete Logarithm in Logarithmic -Class Groups and Its Applications in K-theory
We present an algorithm for the computation of the discrete logarithm in logarithmic -Class Groups. This is applied to the calculation to the -rank of the wild kernel WK2 of a numb...
Sebastian Pauli, Florence Soriano-Gafiuk
ANTS
2004
Springer
93views Algorithms» more  ANTS 2004»
14 years 4 months ago
Nonic 3-adic Fields
We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the ...
John W. Jones, David P. Roberts
ANTS
2004
Springer
112views Algorithms» more  ANTS 2004»
14 years 4 months ago
Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves
We present algorithms for computing the squared Weil and Tate pairings on an elliptic curve and the squared Tate pairing for hyperelliptic curves. The squared pairings introduced i...
Kirsten Eisenträger, Kristin Lauter, Peter L....
GECCO
2004
Springer
14 years 4 months ago
Finding Maximum Cliques with Distributed Ants
In this paper we describe an ant system algorithm (ASMC) for the problem of finding the maximum clique in a given graph. In the algorithm each ant has only local knowledge of the ...
Thang Nguyen Bui, Joseph R. Rizzo
ARCS
2004
Springer
14 years 4 months ago
Ant Colony Optimization for dynamic Traveling Salesman Problems
: This paper addresses the optimization of a dynamic Traveling Salesman Problem using the Ant Colony Optimization algorithm. Ants are social insects with limited skills that live i...
Carlos A. Silva, Thomas A. Runkler