Problemy Peredachi Informatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/ppi1305
  • https://www.mathnet.ru/eng/ppi/v38/i2/p3
    • 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
    Statistics & downloads:
    Abstract page:384
    Full-text PDF :114
    References:62
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024