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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 4, Pages 45–50 (Mi ppi26)  
This article is cited in 14 scientific papers (total in 14 papers)

Coding Theory

Partitions of an $n$-Cube into Nonequivalent Perfect Codes

S. V. Avgustinovichab, F. I. Solov'evaab, O. Hedenc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
c Royal Institute of Technology
Full-text PDF (716 kB) Citations (14)
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Abstract: We prove that for all $n=2^k-1$, $k\ge5$, there exists a partition of the set of all binary vectors of length $n$ into pairwise nonequivalent perfect binary codes of length $n$ with distance 3.
Received: 09.04.2007
Revised: 13.09.2007
English version:
Problems of Information Transmission, 2007, Volume 43, Issue 4, Pages 310–315
DOI: https://doi.org/10.1134/S0032946007040047
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: S. V. Avgustinovich, F. I. Solov'eva, O. Heden, “Partitions of an $n$-Cube into Nonequivalent Perfect Codes”, Probl. Peredachi Inf., 43:4 (2007), 45–50; Problems Inform. Transmission, 43:4 (2007), 310–315
Citation in format AMSBIB
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    • This publication is cited in the following 14 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:57
    First page:15
     
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