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 |
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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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 |
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secret sharing scheme |
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access structure |
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information rate |
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1st Author's Name |
Takashi Hisatome |
1st Author's Affiliation |
University of Tsukuba (U. Tsukuba) |
2nd Author's Name |
Hiroki Koga |
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University of Tsukuba (U. Tsukuba) |
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Speaker |
Author-1 |
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 |
#Pages |
6 |
Date of Issue |
2019-02-28 (IT, ISEC, WBS) |