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On nonbinary codes with fixed distance

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Algebraic Coding (Algebraic Coding 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 573))

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Abstract

We consider nonbinary codes with growing length and fixed distance. Linear double-error correcting codes over an arbitrary field GF(q) with length n = qm and r ⩽ 2(m + 1) + [m/3] check symbols are constructed. Codes with greater distances are also studied.

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References

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Authors and Affiliations

  1. Institute for Problems of Information Transmission, Ermolovoy 19, GSP-4, 101447, Moscow, U.S.S.R.

    Ilya I. Dumer

Authors
  1. Ilya I. Dumer
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Editor information

Gérard Cohen Antoine Lobstein Gilles Zémor Simon Litsyn

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© 1992 Springer-Verlag Berlin Heidelberg

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Dumer, I.I. (1992). On nonbinary codes with fixed distance. In: Cohen, G., Lobstein, A., Zémor, G., Litsyn, S. (eds) Algebraic Coding. Algebraic Coding 1991. Lecture Notes in Computer Science, vol 573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034342

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  • DOI: https://doi.org/10.1007/BFb0034342

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55130-0

  • Online ISBN: 978-3-540-46739-7

  • eBook Packages: Springer Book Archive

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