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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 1, Pages 27–35 (Mi ppi1256)  
This article is cited in 6 scientific papers (total in 6 papers)

Coding Theory

On transitive partitions of an $n$-cube into codes

F. I. Solov'evaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Full-text PDF (596 kB) Citations (6)
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Abstract: We present methods to construct transitive partitions of the set $E^n$ of all binary vectors of length $n$ into codes. In particular, we show that for all $n=2k-1$, $k\ge 3$, there exist transitive partitions of $E^n$ into perfect transitive codes of length $n$.
Received: 18.01.2008
Revised: 26.09.2008
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 1, Pages 23–31
DOI: https://doi.org/10.1134/S0032946009010037
Bibliographic databases:
Document Type: Article
UDC: 621.391.15:514
Language: Russian
Citation: F. I. Solov'eva, “On transitive partitions of an $n$-cube into codes”, Probl. Peredachi Inf., 45:1 (2009), 27–35; Problems Inform. Transmission, 45:1 (2009), 23–31
Citation in format AMSBIB
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\pages 23--31
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    • This publication is cited in the following 6 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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    References:60
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