• DocumentCode
    905223
  • Title

    Maximum distance q -nary codes

  • Author

    Singleton, Richard C.

  • Volume
    10
  • Issue
    2
  • fYear
    1964
  • fDate
    4/1/1964 12:00:00 AM
  • Firstpage
    116
  • Lastpage
    118
  • Abstract
    A q -nary error-correcting code with N = q^{k} code words of length n = k + r can have no greater minimum distance d than r+1 . The class of codes for which d = r+1 is studied first in general, then with the restriction that the codes be linear. Examples and construction methods are given to show that these codes exist for a number of values of q, k , and r .
  • Keywords
    Error-correcting codes; Binary codes; Error correction codes; Reed-Solomon codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1964.1053661
  • Filename
    1053661