• DocumentCode
    2491166
  • Title

    Kerdock codes over Z4 and their application to designs

  • Author

    Yang, Kyeongcheol ; Helleseth, Tor

  • Author_Institution
    Dept. of Electron. Commun. Eng., Hanyang Univ., Seoul, South Korea
  • fYear
    1998
  • fDate
    16-21 Aug 1998
  • Firstpage
    399
  • Abstract
    We show that the support of the codewords of each type in the Kerdock code of length 2m over Z4 form 3-designs for any add integer m⩾3. In particular, two new infinite families of 3-designs are obtained in this construction for any odd integer m⩾3, whose parameters are v=2m, k=2m-1+2m-2±2(m-3)/2, and λ=k(k-1)(k-2)/2m-2
  • Keywords
    binary codes; nonlinear codes; 3-designs; binary nonlinear Kerdock code; code length; codewords; infinite families; Binary codes; Councils; Galois fields; Informatics; Sufficient conditions; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-7803-5000-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1998.709004
  • Filename
    709004
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2491166