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| Presentation | 2021-03-04 15:20 A Consideration on Evolving Secret Sharing Schemes using Linear Codes Hiroki Toriumi, Nozomi Miya, Hajime Jinushi (Aoyama Gakuin Univ.)  IT2020-132 ISEC2020-62 WBS2020-51 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Shamir's $(k, n)$ threshold scheme is realized by linear codes on a finite field. This scheme requires that an upper bounds on the number of shares is known in advance. Even if a crude upper bound $n$ is known in advance, it is preferable to have shares as small as possible than this bound on $n$. Komargodski et al. proposed an evolving-$k$ threshold scheme, in which unbounded number of shares can be generated. Shamir's $(k, n)$ threshold scheme realized by linear codes can be extended to evolving-$k$ threshold scheme by using linear codes on some finite fields of larger order. We propose and discuss such a construction for evolving-$k$ threshold scheme. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | secret sharing scheme / $(k, n)$-threshold scheme / finite fields / linear codes / evolving-$k$ threshold scheme / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 410, IT2020-132, pp. 123-127, March 2021. | |
| Paper # | IT2020-132 | |
| Date of Issue | 2021-02-25 (IT, ISEC, WBS) | |
| 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 | IT2020-132 ISEC2020-62 WBS2020-51 |
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| Conference Information | |
| Committee | WBS IT ISEC |
| Conference Date | 2021-03-04 - 2021-03-05 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Joint Meeting of WBS, IT, and ISEC |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2021-03-WBS-IT-ISEC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Consideration on Evolving Secret Sharing Schemes using Linear Codes |
| Sub Title (in English) | |
| Keyword(1) | secret sharing scheme |
| Keyword(2) | $(k, n)$-threshold scheme |
| Keyword(3) | finite fields |
| Keyword(4) | linear codes |
| Keyword(5) | evolving-$k$ threshold scheme |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Hiroki Toriumi |
| 1st Author's Affiliation | Aoyama Gakuin University (Aoyama Gakuin Univ.) |
| 2nd Author's Name | Nozomi Miya |
| 2nd Author's Affiliation | Aoyama Gakuin University (Aoyama Gakuin Univ.) |
| 3rd Author's Name | Hajime Jinushi |
| 3rd Author's Affiliation | Aoyama Gakuin University (Aoyama Gakuin Univ.) |
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| Speaker | Author-2 |
| Date Time | 2021-03-04 15:20:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2020-132, ISEC2020-62, WBS2020-51 |
| Volume (vol) | vol.120 |
| Number (no) | no.410(IT), no.411(ISEC), no.412(WBS) |
| Page | pp.123-127 |
| #Pages | 5 |
| Date of Issue | 2021-02-25 (IT, ISEC, WBS) |
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