The equivalence classes of the Vasil'ev codes of length 15

  • Ferdinand Hergert
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 969)


In this paper we determine the equivalence classes of the perfect Vasilev codes of length 15: There exist 19 non equivalent Vasil'ev codes (including the Hamming code). If we restrict the equivalence transformations to permutations of coordinates we get 64 different Vasil'ev codes.


Equivalence Class Normal Form Binary Code Linear Code Equivalence Transformation 
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  1. [1]
    H.Bauer, B.Ganter, F.Hergert: Algebraic techniques for nonlinear codes. TH Darmstadt, Preprint-Nr. 609 (1981).Google Scholar
  2. [2]
    F.Hergert: Beiträge zur Theorie nichtlinearer Fehler-korrigierender Codes. Diplomarbeit TH Darmstadt (1980) (unpublished).Google Scholar
  3. [3]
    F.J.MacWilliams, N.J.A.Sloane: The theory of error-correcting codes. North-Holland Publ. Comp. (1978).Google Scholar
  4. [4]
    J.L.Vasil'ev: On nongroup close-packed codes. Probl.Kibernet., 8 (1962).Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Ferdinand Hergert
    • 1
  1. 1.Technische Hochschule Darmstadt Fachbereich Mathematik - AG 1DarmstadtW. Germany

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