• DocumentCode
    1522648
  • Title

    On the non Z4-linearity of certain good binary codes

  • Author

    Fields, Joe ; Gaborit, Philippe

  • Author_Institution
    Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA
  • Volume
    45
  • Issue
    5
  • fYear
    1999
  • fDate
    7/1/1999 12:00:00 AM
  • Firstpage
    1674
  • Lastpage
    1677
  • Abstract
    In this correspondence we prove that any extremal doubly-even self-dual linear binary code of length 48 is not Z4-linear. We also show that the putative extremal doubly-even self-dual linear binary codes of lengths 72 and 96 with minimum weight, respectively, 16 and 20, cannot be constructed as the Gray images of linear codes over Z4
  • Keywords
    binary codes; dual codes; linear codes; Gray images; extremal doubly-even self-dual linear binary code; non Z4-linearity; Binary codes; Computer science; Decoding; Error correction; Error correction codes; Hamming distance; Hamming weight; Linear code; Mathematics; Statistics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.771242
  • Filename
    771242
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1522648