• DocumentCode
    2062232
  • Title

    MDS self-dual codes

  • Author

    Kim, Jon-Lark ; Lee, Yoonjin

  • Author_Institution
    Dept. of Math., Nebraska-Lincoln Univ., Lincoln, NE, USA
  • fYear
    2004
  • fDate
    27 June-2 July 2004
  • Firstpage
    526
  • Abstract
    In this paper we develop a complete generalization of the building-up method [J.-L. Kim, (2001)] for the Euclidean and Hermitian self-dual codes over finite fields GF(q). Using this method we construct many new Euclidean and Hermitian self-dual MDS (or near MDS) codes of length up to 12 over various finite fields GF(q), where q=8, 9, 16, 25, 32, 41, 49, 53, 64, 81, and 128.
  • Keywords
    Galois fields; Hermitian matrices; dual codes; Euclidean-Hermitian codes; MDS self-dual codes; building-up method; finite fields; Code standards; Educational institutions; Electronic mail; Galois fields; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
  • Print_ISBN
    0-7803-8280-3
  • Type

    conf

  • DOI
    10.1109/ISIT.2004.1365563
  • Filename
    1365563
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2062232