• DocumentCode
    936548
  • Title

    The covering radius of the (2^{15}, 16) Reed-Muller code is at least 16276

  • Author

    Patterson, N.J. ; Wiedemann, Douglas H.

  • Volume
    29
  • Issue
    3
  • fYear
    1983
  • fDate
    5/1/1983 12:00:00 AM
  • Firstpage
    354
  • Lastpage
    356
  • Abstract
    Two interesting cosets of the first-order Reed-Muller code of block length 2^{15} are described. They provide counterexamples to a conjecture on the covering radius.
  • Keywords
    Reed-Muller coding; Computer aided software engineering; Functional analysis; Galois fields; Hamming distance; Poles and towers; Seminars; Writing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1983.1056679
  • Filename
    1056679