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A [32,17,14]-geometric code coming from a singular curve

Un Code Geometrique Sur F16 de Parametres [32,17,14] Construit a Partir D'Une Courbe Singuliere

  • Coding And Algebraic Geometry
  • Conference paper
  • First Online:
Coding Theory and Applications (Coding Theory 1986)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 311))

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Abstract

Using a generalization to singular curves of GOPPA construction for geometric codes [G], we construct a code with the above parameters.

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References

  1. W. FULTON. — “Algebraic Curves”; Lectures Notes, Benjamin, 1969.

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  2. V.D. GOPPA. — “Algebraico-Geometric Codes”; Math. USSR, Izvestiga, 21, 1983.

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  3. D. LE BRIGAND-J.J. RISLER. — “Algorithme de BRILL-NOETHER et Codes de GOPPA”; to appear in Bull. SMF.

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  4. J.P. SERRE. — Résumé du Cours de l'année 1984–1985; Annuaire du Collège de France, Paris, 1985.

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Authors and Affiliations

  1. Equipe Analyse Complexe et Géométrie, UA213, Université P. et M. CURIE, 45-46, 5ième étage, 4 place Jussieu, 75252, Paris Cedex 05

    D. Le Brigand

Authors
  1. D. Le Brigand
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Editor information

G. Cohen P. Godlewski

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© 1988 Springer-Verlag Berlin Heidelberg

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Le Brigand, D. (1988). A [32,17,14]-geometric code coming from a singular curve. In: Cohen, G., Godlewski, P. (eds) Coding Theory and Applications. Coding Theory 1986. Lecture Notes in Computer Science, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19368-5_11

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  • DOI: https://doi.org/10.1007/3-540-19368-5_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19368-5

  • Online ISBN: 978-3-540-39243-9

  • eBook Packages: Springer Book Archive

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