• DocumentCode
    1155166
  • Title

    General Error Locator Polynomials for Binary Cyclic Codes With t \\le 2 and n < 63

  • Author

    Orsini, Emmanuela ; Sala, Massimiliano

  • Author_Institution
    Dipt. di Matematica, Milan Univ.
  • Volume
    53
  • Issue
    3
  • fYear
    2007
  • fDate
    3/1/2007 12:00:00 AM
  • Firstpage
    1095
  • Lastpage
    1107
  • Abstract
    In this paper, we show that a recently proposed algorithm for decoding cyclic codes may be applied efficiently to all binary cyclic codes with tles2 and n<63. This is accomplished by providing structure theorems for the codes in this range and classifying the relevant cases
  • Keywords
    binary codes; cyclic codes; decoding; polynomials; binary cyclic codes; decoding; general error locator polynomial; Computer errors; Cryptography; Decoding; Degradation; Equations; Error correction codes; Informatics; Linear code; Mathematics; Polynomials; Cyclic codes; Gröbner bases; decoding procedure;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.889465
  • Filename
    4106137