• DocumentCode
    1305981
  • Title

    Decoding of Hermitian codes: the key equation and efficient error evaluation

  • Author

    O´Sullivan, Michael E.

  • Author_Institution
    Dept. of Math., Nat. Univ. of Ireland, Cork, Ireland
  • Volume
    46
  • Issue
    2
  • fYear
    2000
  • fDate
    3/1/2000 12:00:00 AM
  • Firstpage
    512
  • Lastpage
    523
  • Abstract
    This paper presents a generalization of the key equation to Hermitian codes. The syndrome is interpreted as a power series and the product of this power series with a locator polynomial gives the error evaluator polynomial. The computation of the evaluator polynomial may be done iteratively using a modified version of a previously published computationally efficient algorithm for computing locator polynomials
  • Keywords
    algebraic geometric codes; decoding; polynomials; series (mathematics); Hermitian codes; algebraic geometric codes; computationally efficient algorithm; decoding; efficient error evaluation; error evaluator polynomial; key equation; locator polynomial; power series; syndrome; Computational geometry; Cost accounting; Equations; H infinity control; Hardware; Information theory; Iterative algorithms; Iterative decoding; Mathematics; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.825814
  • Filename
    825814