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International Colloquium on Coding Theory and Applications

Coding Theory 1988: Coding Theory and Applications pp 13–27Cite as

Codes from some Artin-Schreier curves

  • Section I Coding And Algebraic Geometry
  • Conference paper
  • First Online:

  • 198 Accesses

Part of the book series: Lecture Notes in Computer Science ((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. 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.

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  2. H.J. Tiersma: "Remarks on Codes from Hermitian curves" IEEE Transf. Inform. Theory. Vol. IT-33(1987), 605–609.

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Author information

Authors and Affiliations

  1. Université Paul Sabatier UFR de MATHS, 118 Route de Narbonne, 31062, Toulouse cedex

    M. Carral & D. Rotillon

  2. UER de MATHS, Université de Toulouse le Mirail, 5, Allées Antonio Machado, 31058, Toulouse cedex

    A. Thiong Ly

Authors
  1. M. Carral
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  2. D. Rotillon
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  3. A. Thiong Ly
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Editor information

Gérard Cohen Jacques Wolfmann

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© 1989 Springer-Verlag Berlin Heidelberg

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Carral, M., Rotillon, D., Thiong Ly, A. (1989). Codes from some Artin-Schreier curves. In: Cohen, G., Wolfmann, J. (eds) Coding Theory and Applications. Coding Theory 1988. Lecture Notes in Computer Science, vol 388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0019843

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  • DOI: https://doi.org/10.1007/BFb0019843

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51643-9

  • Online ISBN: 978-3-540-46726-7

  • eBook Packages: Springer Book Archive

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