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On the structure of non-full-rank perfect $q$-ary codes

  • Published:2011-05 Issue:2 Volume:5 Page:149-156
  • ISSN:1930-5346
  • Container-title:Advances in Mathematics of Communications
  • language:en
  • Short-container-title:AMC

Author:

Krotov Denis,Heden Olof

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

Reference11 articles.

1. Rook domains, Latin squares, and error-distributing codes,;S. W. Golomb;IEEE Trans. Inf. Theory,1964

2. On the classification of perfect binary $1$-error correcting codes,;O. Heden;preprint,2002

3. Combining construction of perfect binary codes,;D. S. Krotov;Probl. Inf. Transm.,2000

4. On reconstructing reducible $n$-ary quasigroups and switching subquasigroups,;D. S. Krotov;Quasigroups Relat. Syst.,2008

5. "Discrete Mathematics Using Latin Squares,'';C. F. Laywine;Wiley,1998

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2. An enumeration of 1-perfect ternary codes;Discrete Mathematics;2023-07

3. On partitions into perfect codes in Hamming metric;Proceedings of Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications";2022

4. On non-full-rank perfect codes over finite fields;Designs, Codes and Cryptography;2018-06-07

5. The extended 1-perfect trades in small hypercubes;Discrete Mathematics;2017-10
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