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Problemy Peredachi Informatsii, 2002, Volume 38, Issue 2, Pages 3–18 (Mi ppi1305)  
This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a Hamming Space

I. I. Dumer, M. S. Pinsker, V. V. Prelov
Full-text PDF (949 kB) Citations (4)
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Abstract: The problem of optimizing (finding the maximin of) the difference between the entropy functions of two $n$-dimensional vectors under special restrictions on their components is solved. This optimum gives the main term of the asymptotics for the $\varepsilon$-entropy of an ellipsoid in a Hamming space as the dimension of the space grows.
Received: 27.11.2001
English version:
Problems of Information Transmission, 2002, Volume 38, Issue 2, Pages 99–112
DOI: https://doi.org/10.1023/A:1020054525528
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: I. I. Dumer, M. S. Pinsker, V. V. Prelov, “An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a Hamming Space”, Probl. Peredachi Inf., 38:2 (2002), 3–18; Problems Inform. Transmission, 38:2 (2002), 99–112
Citation in format AMSBIB
\Bibitem{DumPinPre02}
\by I.~I.~Dumer, M.~S.~Pinsker, V.~V.~Prelov
\paper An Optimization Problem Related to the Computation of the Epsilon-entropy of an Ellipsoid in a~Hamming Space
\jour Probl. Peredachi Inf.
\yr 2002
\vol 38
\issue 2
\pages 3--18
\mathnet{http://mi.mathnet.ru/ppi1305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2101272}
\zmath{https://zbmath.org/?q=an:1025.94005}
\transl
\jour Problems Inform. Transmission
\yr 2002
\vol 38
\issue 2
\pages 99--112
\crossref{https://doi.org/10.1023/A:1020054525528}
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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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