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Paper Abstract and Keywords
Presentation 2007-03-16 08:55
A Study on Relation between Orthogonal Design and Dual Codes
Yoshifumi Ukita (YCC), Toshiyasu Matsushima (Waseda Univ.)
Abstract (in Japanese) (See Japanese page) 
(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) 
(in English) design of experiments / parity check matrix / minimum distance / sampling theorem / / / /  
Reference Info. IEICE Tech. Rep., vol. 106, no. 595, IT2006-107, pp. 131-136, March 2007.
Paper # IT2006-107 
Date of Issue 2007-03-09 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685
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Conference Information
Committee IT ISEC WBS  
Conference Date 2007-03-15 - 2007-03-16 
Place (in Japanese) (See Japanese page) 
Place (in English) Gunma Univ. (Kiryu Campus) 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IT 
Conference Code 2007-03-IT-ISEC-WBS 
Language Japanese 
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  
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1st Author's Name Yoshifumi Ukita  
1st Author's Affiliation Yokohama College of Commerce (YCC)
2nd Author's Name Toshiyasu Matsushima  
2nd Author's Affiliation Waseda University (Waseda Univ.)
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Speaker Author-1 
Date Time 2007-03-16 08:55:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2006-107, ISEC2006-162, WBS2006-104 
Volume (vol) vol.106 
Number (no) no.595(IT), no.597(ISEC), no.599(WBS) 
Page pp.131-136 
#Pages
Date of Issue 2007-03-09 (IT, ISEC, WBS) 


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