• DocumentCode
    1291127
  • Title

    Optimal double circulant self-dual codes over F4

  • Author

    Gulliver, T. Aaron

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Canterbury Univ., Christchurch, New Zealand
  • Volume
    46
  • Issue
    1
  • fYear
    2000
  • fDate
    1/1/2000 12:00:00 AM
  • Firstpage
    271
  • Lastpage
    274
  • Abstract
    Optimal double circulant self-dual codes over F4 have been found for each length n⩽40. For lengths n⩽14, 20, 22, 24, 28, and 30, these codes are optimal self-dual codes. For length 26, the code attains the highest known minimum weight. For n⩾32, the codes presented provide the highest known minimum weights. The [36,18,12] self-dual code improves the lower bound on the highest minimum weight for a [36,18] linear code
  • Keywords
    Galois fields; dual codes; linear codes; Galois field; highest minimum weight; linear code; optimal double circulant self-dual codes; weight distributions; Galois fields; Linear code; Terminology; Upper bound; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.817526
  • Filename
    817526
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1291127