• DocumentCode
    1355735
  • Title

    Translates of linear codes over Z4

  • Author

    Bonnecaze, Alexis ; Duursma, Iwan M.

  • Author_Institution
    13S Lab., Sophia-Antipolis, France
  • Volume
    43
  • Issue
    4
  • fYear
    1997
  • fDate
    7/1/1997 12:00:00 AM
  • Firstpage
    1218
  • Lastpage
    1230
  • Abstract
    We give a method to compute the complete weight distribution of translates of linear codes over Z4. The method follows known ideas that have already been used successfully by others for Hamming weight distributions. For the particular case of quaternary Preparata codes, we obtain that the number of distinct complete weights for the dual Preparata codes and the number of distinct complete coset weight enumerators for the Preparata codes are both equal to ten, independent of the code length
  • Keywords
    Galois fields; dual codes; linear codes; Z4 linear codes; code length; complete weight distribution; distinct complete coset weight enumerators; distinct complete weights; dual Preparata codes; quaternary Preparata codes; Australia; Binary codes; Cities and towns; Distributed computing; Geometry; Hamming weight; Laboratories; Lattices; Linear code; Modular construction;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.605585
  • Filename
    605585
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1355735