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Paper Abstract and Keywords
Presentation 2019-03-08 11:40
On the Worst-Case Information Rates of Secret Sharing Schemes for Several Access Structures with Many Participants
Takashi Hisatome, Hiroki Koga (U. Tsukuba) IT2018-120 ISEC2018-126 WBS2018-121
Abstract (in Japanese) (See Japanese page) 
(in English) A secret sharing scheme is a method to share a secret S among participants. Secret sharing schemes are constructed in such a way that only qualified subsets of participants can recover S, while any forbidden subsets of participants obtain no information about S. Recently, Komargodski et al proposed a secret sharing scheme in which a dealer distributes the shares to countably infinite participants in order. However, the worst-case informa- tion rate of the scheme in equals to zero even for a simple threshold access structure. In this paper, we give an example of the access structure with infinite participants such that the worst-case information rate is positive. We analyze the worst-case information rate for the access structure in detail. We also consider the access structure with 2m participants which can be identified with the polygon with 2m vertices, where m ≥ 3 is an arbitrary integer.
Keyword (in Japanese) (See Japanese page) 
(in English) secret sharing scheme / access structure / information rate / / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 477, IT2018-120, pp. 275-280, March 2019.
Paper # IT2018-120 
Date of Issue 2019-02-28 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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 IT2018-120 ISEC2018-126 WBS2018-121

Conference Information
Committee IT ISEC WBS  
Conference Date 2019-03-07 - 2019-03-08 
Place (in Japanese) (See Japanese page) 
Place (in English) University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2019-03-IT-ISEC-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Worst-Case Information Rates of Secret Sharing Schemes for Several Access Structures with Many Participants 
Sub Title (in English)  
Keyword(1) secret sharing scheme  
Keyword(2) access structure  
Keyword(3) information rate  
1st Author's Name Takashi Hisatome  
1st Author's Affiliation University of Tsukuba (U. Tsukuba)
2nd Author's Name Hiroki Koga  
2nd Author's Affiliation University of Tsukuba (U. Tsukuba)
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Date Time 2019-03-08 11:40:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2018-120, ISEC2018-126, WBS2018-121 
Volume (vol) vol.118 
Number (no) no.477(IT), no.478(ISEC), no.479(WBS) 
Page pp.275-280 
Date of Issue 2019-02-28 (IT, ISEC, WBS) 

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