On the parameters of Algebraic Geometry codes related to Arf semigroups

Details On the parameters of Algebraic Geometry codes related to Arf semigroups On the parameters of Algebraic Geometry codes related to Arf semigroups

1999-11-04

arxiv.org/abs/math/9911025v1

Mathematics

Number Theory

12 pages

Scientific paper

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.

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