On some invariants in numerical semigroups and estimations of the order bound

Anna Oneto; Grazia Tamone

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arXiv · 1002.1744

On some invariants in numerical semigroups and estimations of the order bound

Anna Oneto·Grazia Tamone

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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.

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Anna Oneto, Grazia Tamone. 2010-02-09. On some invariants in numerical semigroups and estimations of the order bound. https://arxiv.org/abs/1002.1744

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