Document Type

Article

Publication Date

4-7-2010

Department 1

Mathematics

Abstract

Let Χ denote the hyperelliptic curve y2 = xp - x over a field F of characteristic p. The automorphism group of Χ is G = PSL(2, p). Let D be a G-invariant divisor on Χ(F). We compute explicit F-bases for the Riemann-Roch space of D in many cases as well as G-module decompositions. AG codes with good parameters and large automorphism group are constructed as a result. Numerical examples using GAP and SAGE are also given.

DOI

10.1504/IJICOT.2010.032545

Version

Post-Print

Required Publisher's Statement

This article was originally published on the publisher's website: https://www.inderscienceonline.com/doi/abs/10.1504/IJICOT.2010.032545

Available for download on Wednesday, July 15, 2020

Share

COinS