• DocumentCode
    2568539
  • Title

    A note on the relation between a sampling theorem for functions over a GF(q)n domain and linear codes

  • Author

    Ukita, Yoshifumi ; Saito, Tomohiko ; Matsushima, Toshiyasu ; Hirasawa, Shigeichi

  • Author_Institution
    Dept. of Manage. Inf., Yokohama Coll. of Commerce, Yokohama, Japan
  • fYear
    2009
  • fDate
    11-14 Oct. 2009
  • Firstpage
    2665
  • Lastpage
    2670
  • Abstract
    In this paper, we generalize the sampling theorem for bandlimited functions over the Boolean domain to a sampling theorem for bandlimited functions over a GF(q)n domain. We also present a theorem for the relation between the parity check matrix of a linear code and any distinct error vectors. Lastly, we clarify the relation between the sampling theorem for functions over a GF (q)n domain and linear codes.
  • Keywords
    bandlimited signals; linear codes; matrix algebra; parity check codes; signal sampling; Boolean domain; bandlimited function; distinct error vectors; linear codes; parity check matrix; sampling theorem; Boolean functions; Cybernetics; Design for experiments; Educational institutions; Frequency; Linear code; Parity check codes; Sampling methods; Signal sampling; Vectors; discrete Fourier transform; error-correcting codes; experimental designs; orthogonal designs;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
  • Conference_Location
    San Antonio, TX
  • ISSN
    1062-922X
  • Print_ISBN
    978-1-4244-2793-2
  • Electronic_ISBN
    1062-922X
  • Type

    conf

  • DOI
    10.1109/ICSMC.2009.5346131
  • Filename
    5346131
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2568539