• DocumentCode
    1190192
  • Title

    A modified Blahut algorithm for decoding Reed-Solomon codes beyond half the minimum distance

  • Author

    Egorov, Sergey ; Markarian, Garik ; Pickavance, Keith

  • Author_Institution
    Dept. of Comput. Eng., Kursk State Tech. Univ., Russia
  • Volume
    52
  • Issue
    12
  • fYear
    2004
  • Firstpage
    2052
  • Lastpage
    2056
  • Abstract
    A modification of the Blahut algorithm is proposed for decoding of Reed-Solomon codes beyond half the minimum distance. An effective method is offered for the searching of unknown discrepancies needed for analytical continuation of the Berlekamp-Massey algorithm through two additional iterations. This reduces the search time by 2(q-1)n/((n+t+1)(n-t)) times, compared with the Blahut algorithm. An architecture of a searcher for unknown discrepancies is given. The coding gain of the proposed algorithm is shown for some practical codes.
  • Keywords
    Reed-Solomon codes; computational complexity; iterative decoding; Berlekamp-Massey algorithm; Reed-Solomon code decoding; modified Blahut algorithm; Algorithm design and analysis; Communications Society; Conferences; Error correction; Error correction codes; Galois fields; Information systems; Iterative decoding; Mobile communication; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOMM.2004.838673
  • Filename
    1369613