• DocumentCode
    877668
  • Title

    Simple algorithms for BCH decoding

  • Author

    Hong, Jonathan ; Vetterli, Martin

  • Author_Institution
    Dept. of Electr. Eng., Columbia Univ., New York, NY, USA
  • Volume
    43
  • Issue
    8
  • fYear
    1995
  • fDate
    8/1/1995 12:00:00 AM
  • Firstpage
    2324
  • Lastpage
    2333
  • Abstract
    Proposes some simple algorithms for decoding BCH codes. The authors show that the pruned FFT is an effective method for evaluating syndromes and for finding the roots of error-locator polynomials. They show that a simple variation of the basic Gaussian elimination procedure can be adapted to compute the error-locator polynomial efficiently for codes with small designed distance. Finally, they give a procedure for computing the error values that has half the complexity of the Forney algorithm
  • Keywords
    BCH codes; cyclic codes; decoding; error analysis; fast Fourier transforms; polynomials; BCH decoding; Forney algorithm; Gaussian elimination procedure; algorithms; error values; error-locator polynomials; pruned FFT; syndromes; Application software; Codes; Communications Society; Computer errors; Decoding; Equations; Nonlinear filters; Polynomials; Power generation; Senior members;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/26.403765
  • Filename
    403765