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Problemy Peredachi Informatsii, 2018, Volume 54, Issue 1, Pages 54–62 (Mi ppi2259)  
This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

On metric dimension of nonbinary Hamming spaces

G. A. Kabatianskya, V. S. Lebedevb

a Skolkovo Institute of Science and Technology, Moscow, Russia
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (182 kB) Citations (4)
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Abstract: For $q$-ary Hamming spaces we address the problem of the minimum number of points such that any point of the space is uniquely determined by its (Hamming) distances to them. It is conjectured that for a fixed $q$ and growing dimension $n$ of the Hamming space this number asymptotically behaves as $2n/\log_qn$. We prove this conjecture for $q=3$ and $q=4$; for $q=2$ its validity has been known for half a century.
Funding agency Grant number
Russian Science Foundation 14-50-00150
The research was carried out at the Institute for Information Transmission Problems of the Russian Academy of Sciences at the expense of the Russian Science Foundation, project no. 14-50-00150.
Received: 10.12.2017
Revised: 25.12.2017
English version:
Problems of Information Transmission, 2018, Volume 54, Issue 1, Pages 48–55
DOI: https://doi.org/10.1134/S0032946018010040
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: G. A. Kabatiansky, V. S. Lebedev, “On metric dimension of nonbinary Hamming spaces”, Probl. Peredachi Inf., 54:1 (2018), 54–62; Problems Inform. Transmission, 54:1 (2018), 48–55
Citation in format AMSBIB
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\paper On metric dimension of nonbinary Hamming spaces
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\pages 54--62
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\vol 54
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    • This publication is cited in the following 4 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:34
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