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Problemy Peredachi Informatsii, 2016, Volume 52, Issue 3, Pages 92–96 (Mi ppi2214)  

This article is cited in 2 scientific papers (total in 2 papers)

Coding Theory

On perfect codes that do not contain Preparata-like codes

D. S. Krotov, A. Yu. Vasil'eva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (149 kB) Citations (2)
References:
Abstract: We show that for every length of the form $4^k-1$ there exists a binary $1$-perfect code that does not contain any Preparata-like code.
Funding agency Grant number
Russian Science Foundation 14-11-00555
The research was carried out at the expense of the Russian Science Foundation, project no. 14-11-00555.
Received: 30.12.2015
Revised: 10.03.2016
English version:
Problems of Information Transmission, 2016, Volume 52, Issue 3, Pages 284–288
DOI: https://doi.org/10.1134/S0032946016030066
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: D. S. Krotov, A. Yu. Vasil'eva, “On perfect codes that do not contain Preparata-like codes”, Probl. Peredachi Inf., 52:3 (2016), 92–96; Problems Inform. Transmission, 52:3 (2016), 284–288
Citation in format AMSBIB
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\pages 92--96
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Linking options:
  • https://www.mathnet.ru/eng/ppi2214
  • https://www.mathnet.ru/eng/ppi/v52/i3/p92
  • This publication is cited in the following 2 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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    Abstract page:241
    Full-text PDF :48
    References:37
    First page:9
     
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