Two-Point Codes on Norm-Trace Curves

  • Authors:
  • Carlos Munuera;Guilherme C. Tizziotti;Fernando Torres

  • Affiliations:
  • Dept. of Applied Mathematics, University of Valladolid, Castilla, Spain 47012;IMECC-UNICAMP, Campinas-SP, Brasil 13083-970;IMECC-UNICAMP, Campinas-SP, Brasil 13083-970

  • Venue:
  • ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
  • Year:
  • 2008

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Abstract

We determine the Weierstrass semigroup of a pair of rational points on Norm-Trace curves. We use this semigroup to improve the lower bound on the minimum distance of two-point algebraic geometry codes arising from these curves.