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| Presentation | 2022-03-10 09:40 A New Necessary and Sufficient Condition for the Existence of a one-bit Secret Sharing Scheme and Its Applications Ryo Okamura, Hiroki Koga (Univ. Tsukuba)  IT2021-83 ISEC2021-48 WBS2021-51 RCC2021-58 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In a secret sharing scheme, a dealer generates $n$ shares from a secret and distributes the $n$ shares to respective participants. Recently, Bogdanov et al. clarified the conditions of the function $f$ that is equivalent to the existence of a secret sharing scheme for a 1-bit secret. They also obtained a lower bound of the share size by using the discrete Fourier transform. In this paper, we give other conditions, the decodability condition and the security condition, of the function $f$. We show that these conditions are equivalent to Bogdanov's conditions. We also show that the security condition can be expressed in a simple form by using the discrete Fourier transform. In particular, the functions that are equivalent to the $(n,n)$- and the $(n-1,n)$- thresholds scheme for a 1-bit secret are expressed in simple forms in the frequency domain. We discuss the conditions which are equivalent to the existence of a secret sharing scheme of a multiple-valued secret as well. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | secret sharing scheme / general access structure / threshold scheme / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 121, no. 428, IT2021-83, pp. 1-6, March 2022. | |
| Paper # | IT2021-83 | |
| 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 | IT2021-83 ISEC2021-48 WBS2021-51 RCC2021-58 |
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| 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) | A New Necessary and Sufficient Condition for the Existence of a one-bit Secret Sharing Scheme and Its Applications |
| Sub Title (in English) | |
| Keyword(1) | secret sharing scheme |
| Keyword(2) | general access structure |
| Keyword(3) | threshold scheme |
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| 1st Author's Name | Ryo Okamura |
| 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 | 2022-03-10 09:40:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2021-83, ISEC2021-48, WBS2021-51, RCC2021-58 |
| Volume (vol) | vol.121 |
| Number (no) | no.428(IT), no.429(ISEC), no.430(WBS), no.431(RCC) |
| Page | pp.1-6 |
| #Pages | 6 |
| Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) |
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