• DocumentCode
    2519477
  • Title

    On self-dual MDS codes

  • Author

    Grass, M. ; Gulliver, T. Aaron

  • Author_Institution
    Inst. for Quantum Opt.&Quantum Inf., Austrian Acad. of Sci., Innsbruck
  • fYear
    2008
  • fDate
    6-11 July 2008
  • Firstpage
    1954
  • Lastpage
    1957
  • Abstract
    We consider the problem for which lengths a self-dual MDS code over Fq exists.We show that for q = 2m, there are self-dual MDS codes for all even lengths up to 2m. Furthermore, self-dual MDS codes of length q + 1 over Fq exist for all odd prime powers q. Additionally, we present some new self-dual MDS codes.
  • Keywords
    dual codes; maximum separable code; self-dual MDS codes; Galois fields; Hamming weight; Linear code; Optical computing; Quantum computing; Reed-Solomon codes; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2008. ISIT 2008. IEEE International Symposium on
  • Conference_Location
    Toronto, ON
  • Print_ISBN
    978-1-4244-2256-2
  • Electronic_ISBN
    978-1-4244-2257-9
  • Type

    conf

  • DOI
    10.1109/ISIT.2008.4595330
  • Filename
    4595330
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2519477