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» Numerical Uniformization of Hyperelliptic Curves
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ISSAC
1995
Springer
174views Mathematics» more  ISSAC 1995»
14 years 2 months ago
Numerical Uniformization of Hyperelliptic Curves
Abstract. In this paper we derive an algorithm that computes, for a given algebraic hyperelliptic plane curve C of genus p, p > 1, defined by a polynomial y2 = (x−λ1) · · ...
Klaus-Dieter Semmler, Mika Seppälä
ASIACRYPT
2001
Springer
14 years 3 months ago
An Extension of Kedlaya's Point-Counting Algorithm to Superelliptic Curves
We present an algorithm for counting points on superelliptic curves yr = f(x) over a finite field Fq of small characteristic different from r. This is an extension of an algorit...
Pierrick Gaudry, Nicolas Gürel
WAIFI
2007
Springer
127views Mathematics» more  WAIFI 2007»
14 years 5 months ago
The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic
We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq2 , where q is some power of an odd prime. Our extractor, for a given poi...
Reza Rezaeian Farashahi, Ruud Pellikaan
ASIACRYPT
2006
Springer
14 years 2 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...
GECCO
2007
Springer
159views Optimization» more  GECCO 2007»
14 years 2 months ago
Uniform sampling of local pareto-optimal solution curves by pareto path following and its applications in multi-objective GA
Although multi-objective GA (MOGA) is an efficient multiobjective optimization (MOO) method, it has some limitations that need to be tackled, which include unguaranteed uniformity...
Ken Harada, Jun Sakuma, Shigenobu Kobayashi, Isao ...