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» Euclid's algorithm and the Lanczos method over finite fields
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MOC
1998
97views more  MOC 1998»
13 years 4 months ago
Euclid's algorithm and the Lanczos method over finite fields
Abstract. This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially w...
Jeremy Teitelbaum
ASIACRYPT
2000
Springer
13 years 9 months ago
Weil Descent of Elliptic Curves over Finite Fields of Characteristic Three
The paper shows that some of elliptic curves over finite fields of characteristic three of composite degree are attacked by a more effective algorithm than Pollard’s ρ method...
Seigo Arita
ICCS
2004
Springer
13 years 10 months ago
Velocity Field Modelling for Pollutant Plume Using 3-D Adaptive Finite Element Method
Air pollution models usually start from the computation of the velocity field of a fluid. In this paper, we present a model for computing that field based on the contribution of...
Gustavo Montero, Rafael Montenegro, José Ma...
MOC
2000
111views more  MOC 2000»
13 years 4 months ago
Voronoi's algorithm in purely cubic congruence function fields of unit rank 1
The first part of this paper classifies all purely cubic function fields over a finite field of characteristic not equal to 3. In the remainder, we describe a method for computing ...
Renate Scheidler, Andreas Stein
ASIACRYPT
2006
Springer
13 years 8 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...