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Paper Abstract and Keywords
Presentation 2017-05-23 14:50
A Construction of a Progressive (3,n)-Threshold Visual Cryptography Scheme Using a BIBD and Its Optimality
Koutaro Okada, Hiroki Koga (Univ. of Tsukuba) IT2017-15 EMM2017-15
Abstract (in Japanese) (See Japanese page) 
(in English) In the $(t,n)$-threshold visual cryptography scheme ($(t,n)$-VCS for short), a secret black-white image is encoded to $n$ black-white images called shares.
In the $(t,n)$-VCS while no information on a secret image is revealed from any collection of less than $t$ shares, the secret image is reproduced by superimposing arbitrary $t$ shares.
In particular, in a certain class of $(t,n)$-VCS called the progressive $(t,n)$-VCS ($(t,n)$-PVCS), quality of the reproduced image obtained by superimposing more than $t$ shares improves as the number of the superimposed shares increases.
In this paper we first formulate a linear programming problem to maximize the relative difference $alpha_n$ of the $n$ superimposed shares.
We show that for the case of $t=3$ the structure of a certain BIBD appears in the basis matrices obtained from the linear programming problem.
Next, we propose a construction of a $(3,n)$-PVCS using the adjacent matrix of a BIBD and discuss conditions under which the obtained basis matrices becomes optimal.
Keyword (in Japanese) (See Japanese page) 
(in English) visual cryptography / visual secret sharing scheme / linear programming / BIBD / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 39, IT2017-15, pp. 85-90, May 2017.
Paper # IT2017-15 
Date of Issue 2017-05-15 (IT, EMM) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee EMM IT  
Conference Date 2017-05-22 - 2017-05-23 
Place (in Japanese) (See Japanese page) 
Place (in English) Yamagata University(Yonezawa Campus) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information Security, Information Theory, Information Hiding, etc. 
Paper Information
Registration To IT 
Conference Code 2017-05-EMM-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Construction of a Progressive (3,n)-Threshold Visual Cryptography Scheme Using a BIBD and Its Optimality 
Sub Title (in English)  
Keyword(1) visual cryptography  
Keyword(2) visual secret sharing scheme  
Keyword(3) linear programming  
Keyword(4) BIBD  
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1st Author's Name Koutaro 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 2017-05-23 14:50:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2017-15, EMM2017-15 
Volume (vol) vol.117 
Number (no) no.39(IT), no.40(EMM) 
Page pp.85-90 
#Pages 6 
Date of Issue 2017-05-15 (IT, EMM) 

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