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On the dimension of Goppa codes

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract

A lower bound for the dimension of geometric BCH codes (i.e. subfield subcodes of Goppa codes) has been given by M. Wirtz [7]. We prove that this bound is actually exact for “small” enough divisorG.

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References

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Authors and Affiliations

  1. Equipe C.N.R.S. Arithmétique et Théorie de l'Information, U.F.R. de Mathématiques, Université Paris 7, F-75231, Paris Cedex 05, France

    François Rodier

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  1. François Rodier
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Rodier, F. On the dimension of Goppa codes. AAECC 3, 263–267 (1992). https://doi.org/10.1007/BF01294836

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  • DOI: https://doi.org/10.1007/BF01294836

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