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Diskretnyi Analiz i Issledovanie Operatsii, 2016, Volume 23, Issue 4, Pages 26–34
DOI: https://doi.org/10.17377/daio.2016.23.533 (Mi da857) 		 
On the embedding of constant-weight codes into perfect codes

A. M. Romanov

Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.17377/daio.2016.23.533
Abstract: We show that each $q$-ary constant-weight code of weight 3, minimum distance 4, and length $m$ can be embedded in a $q$-ary $1$-perfect code of length $n=(q^m-1)/(q-1)$. Bibliogr. 10.
Keywords: Hamming code, nonlinear perfect code, constant-weight code, $i$-component.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00507
Received: 22.03.2016
Revised: 26.04.2016
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 4, Pages 556–559
DOI: https://doi.org/10.1134/S1990478916040128
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. M. Romanov, “On the embedding of constant-weight codes into perfect codes”, Diskretn. Anal. Issled. Oper., 23:4 (2016), 26–34; J. Appl. Industr. Math., 10:4 (2016), 556–559
Citation in format AMSBIB
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\by A.~M.~Romanov
\paper On the embedding of constant-weight codes into perfect codes
\jour Diskretn. Anal. Issled. Oper.
\yr 2016
\vol 23
\issue 4
\pages 26--34
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\crossref{https://doi.org/10.17377/daio.2016.23.533}
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\elib{https://elibrary.ru/item.asp?id=27349042}
\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 4
\pages 556--559
\crossref{https://doi.org/10.1134/S1990478916040128}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84996598549}
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