• DocumentCode
    1507856
  • Title

    A Class of Punctured Simplex Codes Which Are Proper for Error Detection

  • Author

    Baldi, Marco ; Bianchi, Marco ; Chiaraluce, Franco ; Kløve, Torleiv

  • Author_Institution
    Dipt. di Ing. dell´´Inf., Univ. Politec. delle Marche, Ancona, Italy
  • Volume
    58
  • Issue
    6
  • fYear
    2012
  • fDate
    6/1/2012 12:00:00 AM
  • Firstpage
    3861
  • Lastpage
    3880
  • Abstract
    Binary linear [n,k] codes that are proper for error detection are known for many combinations of n and k. For the remaining combinations, existence of proper codes is conjectured. In this paper, a particular class of [n,k] codes is studied in detail. In particular, it is shown that these codes are proper for many combinations of n and k which were previously unsettled.
  • Keywords
    binary codes; error detection codes; linear codes; binary linear code; error detection; punctured simplex code; Electronic mail; Error probability; Generators; Hamming weight; Parity check codes; Polynomials; Vectors; Error detection; proper codes; punctured codes; satisfactory codes; simplex codes; ugly codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2012.2188711
  • Filename
    6194326