| Presentation | 2007-03-16 A Study on Relation between Orthogonal Design and Dual Codes Yoshifumi UKITA, Toshiyasu MATSUSHIMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in 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. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | design of experiments / parity check matrix / minimum distance / sampling theorem |
| Paper # | IT2006-107,ISEC2006-162,WBS2006-104 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2007/3/9(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Study on Relation between Orthogonal Design and Dual Codes |
| Sub Title (in English) | |
| Keyword(1) | design of experiments |
| Keyword(2) | parity check matrix |
| Keyword(3) | minimum distance |
| Keyword(4) | sampling theorem |
| 1st Author's Name | Yoshifumi UKITA |
| 1st Author's Affiliation | Yokohama College of Commerce() |
| 2nd Author's Name | Toshiyasu MATSUSHIMA |
| 2nd Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 2007-03-16 |
| Paper # | IT2006-107,ISEC2006-162,WBS2006-104 |
| Volume (vol) | vol.106 |
| Number (no) | 595 |
| Page | pp.pp.- |
| #Pages | 6 |
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