• DocumentCode
    1145620
  • Title

    The simplex codes and other even-weight binary linear codes for error correction

  • Author

    Helleseth, Tor ; Kløve, Torleiv ; Levenshtein, Vladimir I.

  • Author_Institution
    Dept. of Inf., Bergen Univ., Norway
  • Volume
    50
  • Issue
    11
  • fYear
    2004
  • Firstpage
    2818
  • Lastpage
    2823
  • Abstract
    The probability of correct decoding on the binary-symmetric channel is studied. In particular, a class of codes with the same lengths and dimensions as the linear simplex codes, but with larger probability of correct decoding for all parameters p, 0 < p < 1/2, is given.
  • Keywords
    Reed-Muller codes; binary codes; decoding; error correction codes; linear codes; probability; Reed-Muller codes; binary-symmetric channel; correct decoding probability; error correction; even-weight binary linear codes; simplex codes; Combinatorial mathematics; Cryptography; Decoding; Electrons; Error correction; Error correction codes; Gaussian channels; Information theory; Linear code; Seminars; Error correction; Reed–Muller codes; linear codes; simplex codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.836708
  • Filename
    1347370