Two-point AG codes from one of the Skabelund maximal curves

Leonardo Landi, Marco Timpanella, Lara Vicino

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Abstract

In this paper, we investigate two-point Algebraic Geometry codes associated to the Skabelund maximal curve constructed as a cyclic cover of the Suzuki curve. In order to estimate the minimum distance of such codes, we make use of the generalized order bound introduced by P. Beelen and determine certain two-point Weierstrass semigroups of the curve.
Original languageEnglish
JournalIEEE Transactions on Information Theory
Volume70
Issue number7
Pages (from-to)4792-4798
ISSN0018-9448
DOIs
Publication statusPublished - 2024

Keywords

  • AG codes
  • Codes
  • Galois fields
  • Geometry
  • Indexes
  • Skabelund curve
  • Surveys
  • Terminology
  • Upper bound
  • order bound
  • two-point Weierstrass semigroup
  • two-point code

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