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

Yoshifumi Ukita, Tomohiko Saito, Toshiyasu Matsushima, Shigeichi Hirasawa

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    3 Citations (Scopus)

    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.

    Original languageEnglish
    Title of host publicationConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
    Pages2665-2670
    Number of pages6
    DOIs
    Publication statusPublished - 2009
    Event2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX
    Duration: 2009 Oct 112009 Oct 14

    Other

    Other2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
    CitySan Antonio, TX
    Period09/10/1109/10/14

    Fingerprint

    Sampling

    Keywords

    • Discrete fourier transform
    • Error-correcting codes
    • Experimental designs
    • Orthogonal designs

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Control and Systems Engineering
    • Human-Computer Interaction

    Cite this

    Ukita, Y., Saito, T., Matsushima, T., & Hirasawa, S. (2009). A note on the relation between a sampling theorem for functions over a GF(q)n domain and linear codes. In Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics (pp. 2665-2670). [5346131] https://doi.org/10.1109/ICSMC.2009.5346131

    A note on the relation between a sampling theorem for functions over a GF(q)n domain and linear codes. / Ukita, Yoshifumi; Saito, Tomohiko; Matsushima, Toshiyasu; Hirasawa, Shigeichi.

    Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics. 2009. p. 2665-2670 5346131.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Ukita, Y, Saito, T, Matsushima, T & Hirasawa, S 2009, A note on the relation between a sampling theorem for functions over a GF(q)n domain and linear codes. in Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics., 5346131, pp. 2665-2670, 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009, San Antonio, TX, 09/10/11. https://doi.org/10.1109/ICSMC.2009.5346131
    Ukita Y, Saito T, Matsushima T, Hirasawa S. A note on the relation between a sampling theorem for functions over a GF(q)n domain and linear codes. In Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics. 2009. p. 2665-2670. 5346131 https://doi.org/10.1109/ICSMC.2009.5346131
    Ukita, Yoshifumi ; Saito, Tomohiko ; Matsushima, Toshiyasu ; Hirasawa, Shigeichi. / A note on the relation between a sampling theorem for functions over a GF(q)n domain and linear codes. Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics. 2009. pp. 2665-2670
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