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 publicationProceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Pages2665-2670
Number of pages6
DOIs
Publication statusPublished - 2009 Dec 1
Event2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 - San Antonio, TX, United States
Duration: 2009 Oct 112009 Oct 14

Publication series

NameConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
ISSN (Print)1062-922X

Other

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

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

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    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 Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009 (pp. 2665-2670). [5346131] (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics). https://doi.org/10.1109/ICSMC.2009.5346131