On the parameters of Algebraic Geometry codes related to Arf semigroups
Number Theory
2007-07-16 v1 Information Theory
Algebraic Geometry
math.IT
Abstract
In this paper we compute the order (or Feng-Rao) bound on the minimum distance of one-point algebraic geometry codes, when the Weierstrass semigroup at the point Q is an Arf semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to those.
Keywords
Cite
@article{arxiv.math/9911025,
title = {On the parameters of Algebraic Geometry codes related to Arf semigroups},
author = {A. Campillo and J. I. Farran and C. Munuera},
journal= {arXiv preprint arXiv:math/9911025},
year = {2007}
}
Comments
12 pages