Codes from Jacobian surfaces

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.

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Cite this paper

@article{Haloui2015CodesFJ, title={Codes from Jacobian surfaces}, author={Safia Haloui}, journal={CoRR}, year={2015}, volume={abs/1503.07903} }