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Problemy Peredachi Informatsii, 2004, Volume 40, Issue 1, Pages 6–14 (Mi ppi119)  
This article is cited in 11 scientific papers (total in 11 papers)

Coding Theory

On Multifold MDS and Perfect Codes That Are Not Splittable into Onefold Codes

D. S. Krotov, V. N. Potapov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (921 kB) Citations (11)
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Abstract: The union of $l$ disjoint MDS (or perfect) codes with distance 2 (respectively, 3) is always an $l$-fold MDS (perfect) code. The converse is shown to be incorrect. Moreover, if $k$ is a multiple of 4 and $n+1\geq 16$ is a power of two, then a $k/2$-fold $k$-ary MDS code of length $m\geq 3$ and an $(n+1)/8$-fold perfect code of length $n$ exist from which no MDS (perfect) code can be isolated.
Received: 20.12.2002
Revised: 13.05.2003
English version:
Problems of Information Transmission, 2004, Volume 40, Issue 1, Pages 5–12
DOI: https://doi.org/10.1023/B:PRIT.0000024875.79605.fc
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: D. S. Krotov, V. N. Potapov, “On Multifold MDS and Perfect Codes That Are Not Splittable into Onefold Codes”, Probl. Peredachi Inf., 40:1 (2004), 6–14; Problems Inform. Transmission, 40:1 (2004), 5–12
Citation in format AMSBIB
\Bibitem{KroPot04}
\by D.~S.~Krotov, V.~N.~Potapov
\paper On Multifold MDS and Perfect Codes That Are Not Splittable into Onefold Codes
\jour Probl. Peredachi Inf.
\yr 2004
\vol 40
\issue 1
\pages 6--14
\mathnet{http://mi.mathnet.ru/ppi119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099015}
\zmath{https://zbmath.org/?q=an:1083.94022}
\transl
\jour Problems Inform. Transmission
\yr 2004
\vol 40
\issue 1
\pages 5--12
\crossref{https://doi.org/10.1023/B:PRIT.0000024875.79605.fc}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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