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On the parameters of algebraic-geometry codes related to Arf semigroups

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3 Author(s)
A. Campillo ; Dept. de Algebra y Geometria, Valladolid Univ., Spain ; J. I. Farran ; C. Munuera

We compute the order (or Feng-Rao (1994)) bound on the minimum distance of one-point algebraic-geometry codes CΩ(P, ρtQ), when the Weierstrass semigroup at the point Q is an Arf 91949) semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to these C Ω (P, ρtQ)

Published in:

IEEE Transactions on Information Theory  (Volume:46 ,  Issue: 7 )