• DocumentCode
    1254282
  • Title

    On the weight hierarchy of Goethals codes over Z4

  • Author

    Yang, Kyeongcheol ; Helleseth, Tor

  • Author_Institution
    Dept. of Electron. Eng., Hanyang Univ., Seoul, South Korea
  • Volume
    44
  • Issue
    1
  • fYear
    1998
  • fDate
    1/1/1998 12:00:00 AM
  • Firstpage
    304
  • Lastpage
    307
  • Abstract
    The rth generalized Hamming weight dr(m,j) of the Goethals code 𝒢m(j) of length 2m over Z4 is considered in this correspondence. In the case that m⩾3 is an odd integer, dr(m,j) is exactly determined for r=0.5, 1, 1.5, 2, 2.5, and 3.0. For a composite m, we give an upper bound dr (m,j) using the lifting technique
  • Keywords
    Galois fields; linear codes; Galois rings; Goethals codes; Z4 linear codes; generalized Hamming weight; lifting technique; upper bound; weight hierarchy; Binary codes; Councils; Galois fields; Hamming weight; Informatics; Information theory; Linear code; Parity check codes; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.651055
  • Filename
    651055
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1254282