• DocumentCode
    2062739
  • Title

    Asymptotics of the ϵ-entropy for a certain class of ellipsoids in a Hamming space

  • Author

    Prelov, Viacheslav V. ; Van der Meulen, Edward C.

  • Author_Institution
    Inst. for Inf. Transmission Problems, Acad. of Sci., Moscow, Russia
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    464
  • Abstract
    The asymptotic behavior of the ε-entropy of ellipsoids in an n-dimensional Hamming space whose coefficients take only two different values is investigated as n → ∞. Explicit expressions for the main terms of the asymptotic representation for the ε-entropy of such ellipsoids are obtained under different relations between ε and parameters defining these ellipsoids.
  • Keywords
    entropy; information theory; Hamming space; asymptotic behavior; ellipsoid; epsilon-entropy; n-dimensional space; Ellipsoids; Entropy; Equations; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
  • Print_ISBN
    0-7803-7501-7
  • Type

    conf

  • DOI
    10.1109/ISIT.2002.1023736
  • Filename
    1023736
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2062739