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Paper Abstract and Keywords
Presentation 2018-03-08 11:40
Constructions of the (3,n) and (4,n) Threshold Visual Cryptography Using Combinatorial Designs and Their Performance Evaluation
Kotaro Okada, Hiroki Koga (Univ. of Tsukuba) IT2017-109 ISEC2017-97 WBS2017-90
Abstract (in Japanese) (See Japanese page) 
(in English) A $(t,n)$-threshold visual cryptography scheme ($(t,n)$-VCS) is a kind of secret sharing schemes for digital images.
In this scheme, a secret image is encoded to $n$ shares and is recovered from superimposition of arbitrary $t$ shares, while no information on a secret image is revealed from any collection of less than $t$ shares.
In several previous studies, the structures called block designs appear as the results of optimization of
the $(t,n)$-VCS.
In this study, we focus on this connection between the VCS and block designs and propose constructions of the $(3,n)$ and $(4,n)$-VCS using the incident matrices of block designs.
We also discuss the conditions for the block designs under which the relative differences of the obtained $(3,n)$ and $(4,n)$-VCS are maximized.
We compare the maximized optimal relative differences with the optimal relative differences
obtained by using a linear programming scheme.
Keyword (in Japanese) (See Japanese page) 
(in English) visual cryptography scheme / $(t,n)$-VCS / block design / BIBD / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 487, IT2017-109, pp. 37-42, March 2018.
Paper # IT2017-109 
Date of Issue 2018-03-01 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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Conference Information
Committee WBS IT ISEC  
Conference Date 2018-03-08 - 2018-03-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Katsusika Campas, Tokyo University of Science 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2018-03-WBS-IT-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Constructions of the (3,n) and (4,n) Threshold Visual Cryptography Using Combinatorial Designs and Their Performance Evaluation 
Sub Title (in English)  
Keyword(1) visual cryptography scheme  
Keyword(2) $(t,n)$-VCS  
Keyword(3) block design  
Keyword(4) BIBD  
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1st Author's Name Kotaro Okada  
1st Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
2nd Author's Name Hiroki Koga  
2nd Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
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Speaker Author-1 
Date Time 2018-03-08 11:40:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2017-109, ISEC2017-97, WBS2017-90 
Volume (vol) vol.117 
Number (no) no.487(IT), no.488(ISEC), no.489(WBS) 
Page pp.37-42 
#Pages
Date of Issue 2018-03-01 (IT, ISEC, WBS) 


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