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Paper Abstract and Keywords
Presentation 2022-03-10 10:05
On the Optimal Construction of a Visual Cryptography Scheme with Multiple Access Structures
Raiki Ioki, Hiroki Koga (Tsukuba Univ.) IT2021-84 ISEC2021-49 WBS2021-52 RCC2021-59
Abstract (in Japanese) (See Japanese page) 
(in English) A visual cryptography scheme (VCS) is a secret sharing scheme for digital images. In a VCS, two $n×m$ Boolean matrices, called basis matrices, are used to generate $n$ images, called shares, from a black-white secret image. Since $m$ subpixels in each share are generated from one pixel in a secret image, the $n$ shares become $m$ times larger than a secret image. Hence, minimization of $m$ is quite important. In this paper, we consider a VCS that enables secret sharing of $q$ multiple secret images under $q$ access structures. We give a construction of $2^q$ basis matrices with the minimum $m$. We solve a certain integer programming problem for the minimization of $m$. It is also shown that $2^q$ basis matrices can be explicitly constructed recursively for certain $q$ access structures which are closely related to a multipartite graph.
Keyword (in Japanese) (See Japanese page) 
(in English) visual cryptography scheme / access structures / pixel expansion / integer programming / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 428, IT2021-84, pp. 7-12, March 2022.
Paper # IT2021-84 
Date of Issue 2022-03-03 (IT, ISEC, WBS, RCC) 
ISSN 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)
Download PDF IT2021-84 ISEC2021-49 WBS2021-52 RCC2021-59

Conference Information
Committee IT ISEC RCC WBS  
Conference Date 2022-03-10 - 2022-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Joint Meeting of ISEC, IT, RCC, and WBS 
Paper Information
Registration To IT 
Conference Code 2022-03-IT-ISEC-RCC-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Optimal Construction of a Visual Cryptography Scheme with Multiple Access Structures 
Sub Title (in English)  
Keyword(1) visual cryptography scheme  
Keyword(2) access structures  
Keyword(3) pixel expansion  
Keyword(4) integer programming  
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1st Author's Name Raiki Ioki  
1st Author's Affiliation University of Tsukuba (Tsukuba Univ.)
2nd Author's Name Hiroki Koga  
2nd Author's Affiliation University of Tsukuba (Tsukuba Univ.)
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Speaker Author-1 
Date Time 2022-03-10 10:05:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2021-84, ISEC2021-49, WBS2021-52, RCC2021-59 
Volume (vol) vol.121 
Number (no) no.428(IT), no.429(ISEC), no.430(WBS), no.431(RCC) 
Page pp.7-12 
#Pages 6 
Date of Issue 2022-03-03 (IT, ISEC, WBS, RCC) 

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