• DocumentCode
    940218
  • Title

    Covering radius---Survey and recent results

  • Author

    Cohen, Gerard D. ; Karpovsky, Mark G. ; Mattson, H.F., Jr. ; Schatz, James R.

  • Volume
    31
  • Issue
    3
  • fYear
    1985
  • fDate
    5/1/1985 12:00:00 AM
  • Firstpage
    328
  • Lastpage
    343
  • Abstract
    All known results on covering radius are presented, as well as some new results. There are a number of upper and lower bounds, including asymptotic results, a few exact determinations of covering radius, some extensive relations with other aspects of coding theory through the Reed-Muller codes, and new results on the least covering radius of any linear [n,k] code. There is also a recent result on the complexity of computing the covering radius.
  • Keywords
    Bibliographies; Block coding; Binary codes; Block codes; Data compression; Distortion measurement; Helium; Lattices; Length measurement; Nonlinear distortion; Reed-Solomon codes; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1985.1057043
  • Filename
    1057043
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=940218