• DocumentCode
    2730287
  • Title

    New codes with the same weight distributions as the Goethals codes and the Delsarte-Goethals codes

  • Author

    Helleseth, Tor ; Kumar, P. Vijay ; Shanbhag, Abhijit G.

  • Author_Institution
    Dept. of Inf., Bergen Univ., Norway
  • fYear
    1995
  • fDate
    17-22 Sep 1995
  • Firstpage
    274
  • Abstract
    The Goethals code is a binary nonlinear code of length 2m+1 which has 22m+1-3m-2 codewords and minimum Hamming distance 8 for any odd m⩾3. We construct new codes over Z4 such that their Gray maps lead to codes with the same weight distribution as the Goethals codes and the Delsarte-Goethals codes
  • Keywords
    binary sequences; codes; Delsarte-Goethals codes; Goethals codes; Gray maps; binary nonlinear code; code length; minimum Hamming distance; weight distributions; Binary codes; Councils; Hamming distance; Hamming weight; Informatics; Linear code; Parity check codes;
  • 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.1995.535789
  • Filename
    535789
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2730287