On some invariants in numerical semigroups and estimations of the order bound
Information Theory
2010-02-10 v1 Discrete Mathematics
Commutative Algebra
math.IT
Abstract
We study suitable parameters and relations in a numerical semigroup S. When S is the Weierstrass semigroup at a rational point P of a projective curve C, we evaluate the Feng-Rao order bound of the associated family of Goppa codes. Further we conjecture that the order bound is always greater than a fixed value easily deduced from the parameters of the semigroup: we also prove this inequality in several cases.
Keywords
Cite
@article{arxiv.1002.1744,
title = {On some invariants in numerical semigroups and estimations of the order bound},
author = {Anna Oneto and Grazia Tamone},
journal= {arXiv preprint arXiv:1002.1744},
year = {2010}
}