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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 425–434 (Mi semr257)  
This article is cited in 2 scientific papers (total in 2 papers)

Research papers

On partitions into affine nonequivalent perfect $q$-ary codes

A. V. Los'ab, F. I. Solov'evaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
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Abstract: It is proved that there exists a partition of the set $F^N_q$ of all $q$-ary vectors of length $N$ into pairwise affine nonequivalent perfect $q$-ary codes of length $N$ with the Hamming distance $3$ for any $N=(q^m-1)/(q-1)$, where $q=p^r,$ $p$ is prime.
Keywords: perfect $q$-ary code, partition into perfect codes, switching, affine nonequivalence of codes.
Received November 4, 2010, published November 18, 2010
Document Type: Article
UDC: 519.72
MSC: 94B25
Language: Russian
Citation: A. V. Los', F. I. Solov'eva, “On partitions into affine nonequivalent perfect $q$-ary codes”, Sib. Èlektron. Mat. Izv., 7 (2010), 425–434
Citation in format AMSBIB
\Bibitem{LosSol10}
\by A.~V.~Los', F.~I.~Solov'eva
\paper On partitions into affine nonequivalent perfect $q$-ary codes
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 425--434
\mathnet{http://mi.mathnet.ru/semr257}
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