Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2011, Volume 2, Issue 4, Pages 49–74
DOI: https://doi.org/10.4213/mvk43 (Mi mvk43) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Natural metrics and their properties. P. 1. Submetrics and overmetrics

B. A. Pogorelova, M. A. Pudovkinab

a Academy of Cryptography of Russian Federation, Moscow
b National Nuclear Research University, Moscow
Full-text PDF (1167 kB) Citations (3)
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DOI: https://doi.org/10.4213/mvk43
Abstract: Criteria for integer-valued function $\mu\colon X\times X\to\{0,1,\dots\}$ to be a metric (where $X$ is a finite set) are given. Notions of submetric, overmetric, natural and canonical metrics are introduced. Classification of metrics admitting no more than 5 values is constructed, some of their submetrics and overmetrics are described.
Key words: discrete spaces, discrete metrics, characterization of metrics.
Received 22.IV.2010
Document Type: Article
UDC: 519.719.1
Language: Russian
Citation: B. A. Pogorelov, M. A. Pudovkina, “Natural metrics and their properties. P. 1. Submetrics and overmetrics”, Mat. Vopr. Kriptogr., 2:4 (2011), 49–74
Citation in format AMSBIB
\Bibitem{PogPud11}
\by B.~A.~Pogorelov, M.~A.~Pudovkina
\paper Natural metrics and their properties. P.~1. Submetrics and overmetrics
\jour Mat. Vopr. Kriptogr.
\yr 2011
\vol 2
\issue 4
\pages 49--74
\mathnet{http://mi.mathnet.ru/mvk43}
\crossref{https://doi.org/10.4213/mvk43}
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  • https://www.mathnet.ru/eng/mvk/v2/i4/p49
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    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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