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• [P853] A Note on the Relation between a Sampling Theorem for Functions over a GF(q)^n Domain and Linear Codes
  Author(s): Yoshifumi Ukita, Tomohiko Saito, Toshiyasu Matsushima, Shigeichi Hirasawa
  
  

  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.

  
   

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