• DocumentCode
    1458542
  • Title

    Double circulant self-dual codes over Z2k

  • Author

    Gulliver, T. Aaron ; Harada, Masaaki

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Canterbury Univ., Christchurch, New Zealand
  • Volume
    44
  • Issue
    7
  • fYear
    1998
  • fDate
    11/1/1998 12:00:00 AM
  • Firstpage
    3105
  • Lastpage
    3123
  • Abstract
    Recently there has been tremendous interest in self-dual codes over finite rings, specifically the rings Z2k. In this paper, we investigate double circulant self-dual codes over Z2k for small k and short lengths. In particular, we give a classification of the extremal double circulant codes. Using invariant theory, a basis for the space of invariants to which the Hamming weight enumerators belong is given for self-dual codes over Z6, Z8, Z10 , and Z12
  • Keywords
    Galois fields; dual codes; Hamming weight enumerators; Z2k rings; double circulant self-dual codes; extremal double circulant codes; finite rings; invariant theory; Additives; Binary codes; Hamming weight; Information theory; Lattices;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.737540
  • Filename
    737540
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1458542