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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 1, Pages 32–38 (Mi ppi4)  
This article is cited in 15 scientific papers (total in 15 papers)

Coding Theory

On $\mathbb Z_4$-Linear Codes with Parameters of Reed–Muller Codes

F. I. Solov'eva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (866 kB) Citations (15)
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Abstract: For any pair of integers $r$ and $m$, $0\le r\le m$, we construct a class of quaternary linear codes whose binary images under the Gray map are codes with the parameters of the classical $r$th-order Reed–Muller code $RM(R,m)$.
Received: 28.03.2006
Revised: 12.10.2006
English version:
Problems of Information Transmission, 2007, Volume 43, Issue 1, Pages 26–32
DOI: https://doi.org/10.1134/S0032946007010048
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: F. I. Solov'eva, “On $\mathbb Z_4$-Linear Codes with Parameters of Reed–Muller Codes”, Probl. Peredachi Inf., 43:1 (2007), 32–38; Problems Inform. Transmission, 43:1 (2007), 26–32
Citation in format AMSBIB
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    • This publication is cited in the following 15 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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