Codes from Jacobian surfaces
Information Theory
2015-03-30 v1 Algebraic Geometry
math.IT
Number Theory
Abstract
This paper is concerned with some Algebraic Geometry codes on Jacobians of genus 2 curves. We derive a lower bound for the minimum distance of these codes from an upper "Weil type" bound for the number of rational points on irreducible (possibly singular or non-absolutely irreducible) curves lying on an abelian surface over a finite field.
Keywords
Cite
@article{arxiv.1503.07903,
title = {Codes from Jacobian surfaces},
author = {Safia Haloui},
journal= {arXiv preprint arXiv:1503.07903},
year = {2015}
}