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

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

2010-02-09

arxiv.org/abs/1002.1744v1

Computer Science

Information Theory

Scientific paper

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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