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arxiv: math/9911025 · v1 · submitted 1999-11-04 · 🧮 math.NT · cs.IT· math.AG· math.IT

On the parameters of Algebraic Geometry codes related to Arf semigroups

classification 🧮 math.NT cs.ITmath.AGmath.IT
keywords codesalgebraicgeometryrelatedsemigroupboundcomputedeveloped
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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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