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International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes

AAECC 2001: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes pp 159–171Cite as

On Hyperbolic Codes

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2227))

Abstract

We give a new description of the so-called hyperbolic codes from which the minimum distance and the generator matrix are easily determined. We also give a method for the determination of the dimension of the codes and finally some results on the weight hierarchy are presented.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Aalborg University, Frederik Bajersvej 7G, DK-9220, Aalborg Ø, Denmark

    Olav Geil

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

    Tom Høholdt

Authors
  1. Olav Geil
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  2. Tom Høholdt
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Editor information

Editors and Affiliations

  1. Department of Mathematics, RMIT University, GPO Box 2476V, 3001, Melbourne, Australia

    Serdar Boztaş

  2. Department of Computing, Macquarie University, 2109, NSW, Australia

    Igor E. Shparlinski

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© 2001 Springer-Verlag Berlin Heidelberg

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Geil, O., Høholdt, T. (2001). On Hyperbolic Codes. In: Boztaş, S., Shparlinski, I.E. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2001. Lecture Notes in Computer Science, vol 2227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45624-4_17

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  • DOI: https://doi.org/10.1007/3-540-45624-4_17

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42911-1

  • Online ISBN: 978-3-540-45624-7

  • eBook Packages: Springer Book Archive

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