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| Paper Abstract and Keywords | ||
| Presentation | 2018-03-08 11:15 Construction of Secret Sharing Schemes with Small Thresholds for Countably Infinite Participants Takashi Hisatome, Hiroki Koga (Univ. Tsukuba)  IT2017-108 ISEC2017-96 WBS2017-89 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In Shamir's (k, n)-threshold scheme, given a secret S a dealer generates n shares by using a random polynomial of degree k-1 over a finite field Fq. While S is recovered from arbitrary collection of more than or equal to k shares, no information about S is revealed from any collection of less than k shares. In Shamir's scheme the number of shares is at most q-1. Recently, Komargodski et al give a construction of a secret sharing scheme called the evolving k-THR in which for a given secret S a dealer can generate countably infinite shares with the property similar to Shamir's (k,n)-threshold scheme. In this paper, we propose new simple constructions of the evolving 3-THR and 4-THR and evaluate the sizes of the shares. In particular, we prove that the size of the share of the t-th participant can be reduced to O((log log t)^2) in the evolving 3-THR. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | secret sharing schemes / evolving k-THRs / / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 487, IT2017-108, pp. 31-36, March 2018. | |
| Paper # | IT2017-108 | |
| Date of Issue | 2018-03-01 (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) | |
| Download PDF | IT2017-108 ISEC2017-96 WBS2017-89 |
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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) | Construction of Secret Sharing Schemes with Small Thresholds for Countably Infinite Participants |
| Sub Title (in English) | |
| Keyword(1) | secret sharing schemes |
| Keyword(2) | evolving k-THRs |
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| 1st Author's Name | Takashi Hisatome |
| 1st Author's Affiliation | University of Tsukuba (Univ. Tsukuba) |
| 2nd Author's Name | Hiroki Koga |
| 2nd Author's Affiliation | University of Tsukuba (Univ. Tsukuba) |
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| Speaker | Author-1 |
| Date Time | 2018-03-08 11:15:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2017-108, ISEC2017-96, WBS2017-89 |
| Volume (vol) | vol.117 |
| Number (no) | no.487(IT), no.488(ISEC), no.489(WBS) |
| Page | pp.31-36 |
| #Pages | 6 |
| Date of Issue | 2018-03-01 (IT, ISEC, WBS) |
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