• DocumentCode
    917506
  • Title

    Long primitive binary BCH codes have distance d \\leq 2n \\ln R^{-1}/\\log n \\cdots

  • Author

    Berlekamp, Elwyn R.

  • Volume
    18
  • Issue
    3
  • fYear
    1972
  • fDate
    5/1/1972 12:00:00 AM
  • Firstpage
    415
  • Lastpage
    426
  • Abstract
    In this paper, we obtain upper and lower bounds on the designed and actual distances of any sequence of extended primitive BCH codes of increasing lengths n and fixed rate R . The results of this paper are based on [1, ch. 12], which gives an exact expression for the rates of any sequence of extended primitive BCH codes of increasing length and fixed ratio of distance/length.
  • Keywords
    BCH codes; Computer errors; Estimation theory; Mathematics; Telephony; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1972.1054818
  • Filename
    1054818