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The Second and Third Generalized Hamming Weights of Algebraic Geometry Codes

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2643))

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Abstract

Motivated by cryptographical applications, the second and third generalized Hamming weights of AG codes arising from general curves are studied. This construction includes some of the most important AG codes: Hermitian Codes, elliptic codes, etc.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Basque Country, Apartado 644, 48080, Bilbao, Spain

    Domingo Ramirez-Alzola

Authors
  1. Domingo Ramirez-Alzola
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Hawaii, 2540 Dole Street, Holmes Hall 455, Honolulu, HI, 96822, USA

    Marc Fossorier

  2. Department of Mathematics, The Technical University of Denmark, Bldg. 303, DK-2800, Lyngby, Denmark

    Tom Høholdt

  3. IRIT - Université Paul Sabatier, 31602, Toulouse cédex, France

    Alain Poli

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Ramirez-Alzola, D. (2003). The Second and Third Generalized Hamming Weights of Algebraic Geometry Codes. In: Fossorier, M., Høholdt, T., Poli, A. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2003. Lecture Notes in Computer Science, vol 2643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44828-4_18

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  • DOI: https://doi.org/10.1007/3-540-44828-4_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40111-7

  • Online ISBN: 978-3-540-44828-0

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