• DocumentCode
    989755
  • Title

    Binary GCD algorithm for computing error locator polynomials in Reed-Solomon decoding

  • Author

    Argüello, F.

  • Author_Institution
    Dept. of Electron. & Comput. Sci., Univ. of Santiago, Santiago de Compostela, Spain
  • Volume
    41
  • Issue
    13
  • fYear
    2005
  • fDate
    6/23/2005 12:00:00 AM
  • Firstpage
    754
  • Lastpage
    755
  • Abstract
    The binary GCD algorithm, discovered by Stein, is an alternative to the Euclidean algorithm for computing the greatest common divisor of two integers. In this work, the binary GCD algorithm is applied to Reed-Solomon decoding and a novel iterative algorithm for computing error locator polynomials is proposed. Compared to Euclidean-based algorithms, this algorithm exhibits some speed and area advantages.
  • Keywords
    Reed-Solomon codes; error correction codes; iterative decoding; polynomials; Euclidean algorithm; Reed-Solomon decoding; binary GCD algorithm; error locator polynomials; greatest common divisor; iterative algorithm;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:20050769
  • Filename
    1459884