• DocumentCode
    810967
  • Title

    Algebraic decoding of (103, 52, 19) and (113, 57, 15) quadratic residue codes

  • Author

    Truong, Trieu-Kien ; Chang, Yaotsu ; Chen, Yan-Haw ; Lee, C.-D.

  • Author_Institution
    Dept. of Appl. Math., I-Shou Univ., Taiwan
  • Volume
    53
  • Issue
    5
  • fYear
    2005
  • fDate
    5/1/2005 12:00:00 AM
  • Firstpage
    749
  • Lastpage
    754
  • Abstract
    In this paper, two algebraic decoders for the (103, 52, 19) and (113, 57, 15) quadratic residue codes, which have lengths greater than 100, are presented. The results have been verified by software simulation that programs in C++ language have been executed to check possible error patterns of both quadratic residue codes.
  • Keywords
    C++ language; algebraic codes; binary codes; decoding; residue codes; C++ language; algebraic decoding; error pattern; quadratic residue code; Communications Society; Computer errors; Councils; Decoding; Flowcharts; Helium; Mathematics; Modulation coding; Polynomials; Terminology; Inverse-free Berlekamp–Massey (BM) algorithm; irreducible generator polynomial; quadratic residue codes; unknown syndromes;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOMM.2005.847147
  • Filename
    1431115