• DocumentCode
    927048
  • Title

    Some results related to generalized Varshamov-Gilbert bounds (Corresp.)

  • Author

    Deza, Mikhail ; Hoffman, Frederick

  • Volume
    23
  • Issue
    4
  • fYear
    1977
  • fDate
    7/1/1977 12:00:00 AM
  • Firstpage
    517
  • Lastpage
    518
  • Abstract
    Two generalizations of the Varshamov-Gilbert bound for error-correcting and error-detecting codes are developed. Sufficient intrinsic conditions are given for classes of linear codes over GF (q) to include "good" codes, and these classes are related to other known classes. A lower bound on the maximal order of subspaces contained in subsets of certain finite vector spaces is given and related to a bound on error-detecting codes.
  • Keywords
    Error-correcting codes; Error-detecting codes; Additive noise; Bismuth; Error correction codes; Linear code; Sufficient conditions; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1977.1055736
  • Filename
    1055736