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| Title | A Note on the Relation between a Sampling Theorem for Functions over a $GF(q)^n$ Domain and Linear Codes (in Japanese) |
|---|---|
| Authors | Yoshifumi Ukita 、Tomohiko Saito 、Toshiyasu Matsushima 、Shigeichi Hirasawa |
| Released Year | 2009 |
| Format | International Conference |
| Category | Others |
| Jounal Name | 2009 IEEE Int. Conf. on Systems, Man, and Cybernetics |
| Jounal Page | pp.2665-2670, Texas, USA |
| Published Year | 2009 |
| Published Month | 10 |
| Abstract （English） |
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. |
| Note （English） |
1 |
| Manuscript | |
| Presentation |
