• DocumentCode
    2991561
  • Title

    Self-dual codes using the building-up construction

  • Author

    Kim, Jon-Lark ; Lee, Yoonjin

  • Author_Institution
    Dept. of Math., Univ. of Louisville, Louisville, KY, USA
  • fYear
    2009
  • fDate
    June 28 2009-July 3 2009
  • Firstpage
    2400
  • Lastpage
    2402
  • Abstract
    The building-up construction for self-dual codes was developed by the authors over finite fields GF(q) when q is a power of 2 or q ¿ 1 (mod 4). In this paper, we complete the building-up construction for self-dual codes over GF(q) with q ¿ 3 (mod 4). For example, we construct new 945 extremal self-dual ternary [32, 16, 9] codes, each of which has a trivial automorphism group.
  • Keywords
    computational complexity; dual codes; building-up construction; self-dual codes; trivial automorphism group; Code standards; Error correction; Error correction codes; Galois fields; Lattices; Mathematics; Power generation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2009. ISIT 2009. IEEE International Symposium on
  • Conference_Location
    Seoul
  • Print_ISBN
    978-1-4244-4312-3
  • Electronic_ISBN
    978-1-4244-4313-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2009.5206010
  • Filename
    5206010
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2991561