• DocumentCode
    894182
  • Title

    Decoding of redundant residue polynomial codes using Euclid´s algorithm

  • Author

    Shiozaki, Akira

  • Author_Institution
    Fac. of Eng., Osaka Electro-Commun. Univ., Japan
  • Volume
    34
  • Issue
    5
  • fYear
    1988
  • fDate
    9/1/1988 12:00:00 AM
  • Firstpage
    1351
  • Lastpage
    1354
  • Abstract
    A decoding method is proposed for the redundant residue polynomial codes, a class that includes Reed-Solomon codes. The method is based on properties of Euclid´s algorithm. The advantage of the method is that the computation of both the error-locator polynomial and the error-evaluator polynomial needed in conventional decoding methods can be avoided. The method is suitable for decoding concatenated codes whose outer codes are redundant residue polynomial codes, since they are easily decoded by ignoring erasures detected in the inner codes
  • Keywords
    codes; decoding; polynomials; Euclid; Reed-Solomon codes; concatenated codes; decoding method; erasures; error-evaluator polynomial; error-locator polynomial; redundant residue polynomial codes; Combinatorial mathematics; Computer science; Concatenated codes; Decoding; Error correction codes; Galois fields; Gaussian processes; Graph theory; Polynomials; Reed-Solomon codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.21269
  • Filename
    21269