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Problemy Peredachi Informatsii, 2022, Volume 58, Issue 3, Pages 58–69
DOI: https://doi.org/10.31857/S0555292322030056 (Mi ppi2375) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Coding Theory

Partitions into perfect codes in the Hamming and Lee metrics

F. I. Solov'eva
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DOI: https://doi.org/10.31857/S0555292322030056
Abstract: We propose new combinatorial constructions of partitions into perfect codes in both the Hamming and Lee metrics. Also, we present a new combinatorial construction method for diameter perfect codes in the Lee metric, which is further developed to a construction of partitions into such codes. For the Lee metric, we improve previously known lower bounds on the number of perfect and diameter perfect codes proposed by Etzion in 2011.
Keywords: perfect code, perfect code in the Hamming metric, perfect code in the Lee metric, diameter perfect code in the Lee metric, partitions, partitions into perfect codes.
Funding agency Grant number
Russian Science Foundation 22-21-00135
The research was carried out at the expense of the Russian Science Foundation, project no. 22 21-00135, https://rscf.ru/en/project/22-21-00135/.
Received: 06.06.2022
Revised: 06.06.2022
Accepted: 24.08.2022
English version:
Problems of Information Transmission, 2022, Volume 58, Issue 3, Pages 254–264
DOI: https://doi.org/10.1134/S003294602203005X
Bibliographic databases:
Document Type: Article
UDC: 621.391.1 : 519.725
Language: Russian
Citation: F. I. Solov'eva, “Partitions into perfect codes in the Hamming and Lee metrics”, Probl. Peredachi Inf., 58:3 (2022), 58–69; Problems Inform. Transmission, 58:3 (2022), 254–264
Citation in format AMSBIB
\Bibitem{Sol22}
\by F.~I.~Solov'eva
\paper Partitions into perfect codes in the Hamming and Lee metrics
\jour Probl. Peredachi Inf.
\yr 2022
\vol 58
\issue 3
\pages 58--69
\mathnet{http://mi.mathnet.ru/ppi2375}
\edn{https://elibrary.ru/EAJWAD}
\transl
\jour Problems Inform. Transmission
\yr 2022
\vol 58
\issue 3
\pages 254--264
\crossref{https://doi.org/10.1134/S003294602203005X}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Проблемы передачи информации Problems of Information Transmission
     
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