Abstract
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.
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References
H.Bauer, B.Ganter, F.Hergert: Algebraic techniques for nonlinear codes. TH Darmstadt, Preprint-Nr. 609 (1981).
F.Hergert: Beiträge zur Theorie nichtlinearer Fehler-korrigierender Codes. Diplomarbeit TH Darmstadt (1980) (unpublished).
F.J.MacWilliams, N.J.A.Sloane: The theory of error-correcting codes. North-Holland Publ. Comp. (1978).
J.L.Vasil'ev: On nongroup close-packed codes. Probl.Kibernet., 8 (1962).
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© 1982 Springer-Verlag
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Hergert, F. (1982). The equivalence classes of the Vasil'ev codes of length 15. In: Jungnickel, D., Vedder, K. (eds) Combinatorial Theory. Lecture Notes in Mathematics, vol 969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062993
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DOI: https://doi.org/10.1007/BFb0062993
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