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| Title | A Study on Relation between Orthogonal Design and Dual Codes (in Japanese) |
|---|---|
| Authors | Yoshifumi Ukita 、Toshiyasu Matsushima |
| Released Year | 2006 |
| Format | Conference |
| Category | Knowledge information processing |
| Jounal Name | IEICE technical report |
| Jounal Page | vol.106, no.597, IT2006-107, pp.131-136 |
| Published Year | 2007 |
| Published Month | 3 |
| Abstract （English） |
In this paper, it is shown that a theorem about the relation between linearly independence of columns of parity check matrix and each codeword. Next, by using this theorem, we give a sampling theorem using orthogonal design defined by dual codes for functions over the Boolean domain. Moreover, we show that we can prove the sampling theorem by using the condition for the frequency bandwidth of the original function and one of the shifted functions not to have a common part. Lastly, we reveal the relation between the result given by this paper and error-correcting codes. |
| Note （English） |
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| Presentation |
