• DocumentCode
    1245084
  • Title

    A simple algorithm for decoding Reed-Solomon codes and its relation to the Welch-Berlekamp algorithm

  • Author

    Fedorenko, Sergei V.

  • Author_Institution
    Dept. of Distributed Comput. & Networking, St. Petersburg State Polytech. Univ., St. Petersburg
  • Volume
    51
  • Issue
    3
  • fYear
    2005
  • fDate
    3/1/2005 12:00:00 AM
  • Firstpage
    1196
  • Lastpage
    1198
  • Abstract
    A simple and natural Gao algorithm for decoding algebraic codes is described. Its relation to the Welch-Berlekamp and Euclidean algorithms is given
  • Keywords
    Reed-Solomon codes; algebraic codes; decoding; Euclidean algorithms; Reed-Solomon codes; Welch-Berlekamp-decoding algorithm; algebraic codes; key equation; natural Gao algorithm; remainder decoding; Algebra; Computer science; Cryptography; Decoding; Error correction codes; Galois fields; Information theory; Notice of Violation; Polynomials; Reed-Solomon codes; Decoding algorithm; Euclidean algorithm; RS codes; Welch–Berlekamp algorithm; decoding Reed–Solomon (RS) codes; key equation; remainder decoding;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.842738
  • Filename
    1397958