• DocumentCode
    809283
  • Title

    New List Decoding Algorithms for Reed–Solomon and BCH Codes

  • Author

    Wu, Yingquan

  • Volume
    54
  • Issue
    8
  • fYear
    2008
  • Firstpage
    3611
  • Lastpage
    3630
  • Abstract
    In this paper, we devise a rational curve fitting algorithm and apply it to the list decoding of Reed-Solomon and Bose-Chaudhuri-Hocquenghen (BCH) codes. The resulting list decoding algorithms exhibit the following significant properties.
  • Keywords
    Reed-Solomon codes; binary codes; curve fitting; decoding; error correction codes; BCH codes; Bose-Chaudhuri-Hocquenghen codes; Reed-Solomon codes; binary codes; error correction capability; list decoding algorithms; rational curve fitting algorithm; Binary codes; Curve fitting; Decoding; Error correction codes; Galois fields; Magnetic materials; Memory; Optical materials; Satellite communication; Wireless communication; Berlekamp algorithm; Berlekamp–Massey algorithm; Johnson bound; Reed–Solomon codes; binary Bose–Chaudhuri–Hocquenghen (BCH) codes; list decoding; rational curve-fitting algorithm;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2008.926355
  • Filename
    4567605