• DocumentCode
    780768
  • Title

    Algebraic decoding of (71, 36, 11), (79, 40, 15), and (97, 49, 15) quadratic residue codes

  • Author

    Chang, Yaotsu ; Truong, Trieu-Kien ; Reed, Irving S. ; Cheng, H.Y. ; Lee, C.-D.

  • Author_Institution
    Dept. of Appl. Math., I-Shou Univ., Kaohsiung, Taiwan
  • Volume
    51
  • Issue
    9
  • fYear
    2003
  • Firstpage
    1463
  • Lastpage
    1473
  • Abstract
    Recently, a new algebraic decoding algorithm for quadratic residue (QR) codes was proposed by Truong et al. Using that decoding scheme, we now develop three decoders for the QR codes with parameters (71, 36, 11), (79, 40, 15), and (97, 49, 15), which have not been decoded before. To confirm our results, an exhaustive computer simulation has been executed successfully.
  • Keywords
    binary codes; cyclic codes; decoding; matrix algebra; polynomials; residue codes; Berlekamp-Massey algorithm; algebraic decoding; binary codes; cyclic codes; error-locator polynomial; matrices; quadratic residue codes; Communications Society; Computer simulation; Councils; Decoding; Hardware; Mathematics; Nonlinear equations; Polynomials; Search methods;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOMM.2003.816994
  • Filename
    1231644
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=780768