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Codes from some Artin-Schreier curves

  • M. Carral
  • D. Rotillon
  • A. Thiong Ly
Section I Coding And Algebraic Geometry
Part of the Lecture Notes in Computer Science book series (LNCS, volume 388)

Abstract

Parameters and generator matrices are given for the codes obtained by applying Goppa's algebraic-geometric construction method to some Artin-Schreier curves over Fq where q = p2 s for some s∈N. Some results on automorphisms of these codes are given.

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References

  1. [1]
    J.H. Van Lint and T.A. Springer: "Generalized Reed-Solomon codes from algebraic geometry" IEEE Trans. Inform. Theory, Vol. IT-33(1987), 305–309.CrossRefGoogle Scholar
  2. [2]
    H.J. Tiersma: "Remarks on Codes from Hermitian curves" IEEE Transf. Inform. Theory. Vol. IT-33(1987), 605–609.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • M. Carral
    • 1
  • D. Rotillon
    • 1
  • A. Thiong Ly
    • 2
  1. 1.Université Paul Sabatier UFR de MATHSToulouse cedex
  2. 2.UER de MATHSUniversité de Toulouse le MirailToulouse cedex

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