• DocumentCode
    2934183
  • Title

    The algebraic decoding of the Z4-linear Goethals code

  • Author

    Helleseth, Tor ; Kumar, P. Vijay

  • Author_Institution
    Dept. of Inf., Bergen Univ., Norway
  • fYear
    1995
  • fDate
    17-22 Sep 1995
  • Firstpage
    408
  • Abstract
    The quaternary Goethals code is a Z4-linear code of length 2m which has 2(2m+1-3m-2) codewords and minimum Lee distance 8 for any odd m⩾3. The Gray map of this code is known to be a nonlinear binary (2m+1, 2(2m+1-3m-2), 8) code. The covering radius of the Z4 -linear Goethals code is 6 and we present a complete decoding algorithm for the code
  • Keywords
    algebraic codes; decoding; error correction codes; linear codes; Gray map; Z4-linear code; algebraic decoding; covering radius; minimum Lee distance; quaternary Goethals code; triple error correcting code; Councils; Decoding; Equations; Hamming distance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
  • Conference_Location
    Whistler, BC
  • Print_ISBN
    0-7803-2453-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1995.550395
  • Filename
    550395
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2934183