Modular equations for hyperelliptic curves - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Mathematics of Computation Year : 2005

Modular equations for hyperelliptic curves

Abstract

We define modular equations describing the l-torsion subgroups of the Jacobian of a hyperelliptic curve. Over a finite base field, we prove factorization properties that extend the well-known results used in Atkin's improvement of Schoof's genus 1 point counting algorithm.
Fichier principal
Vignette du fichier
eqmod2.pdf (316.8 Ko) Télécharger le fichier

Dates and versions

inria-00000627 , version 1 (10-11-2005)

Identifiers

  • HAL Id : inria-00000627 , version 1

Cite

Pierrick Gaudry, Eric Schost. Modular equations for hyperelliptic curves. Mathematics of Computation, 2005, 74, pp.429-454. ⟨inria-00000627⟩
135 View
211 Download

Share

Gmail Facebook Twitter LinkedIn More