| Presentation | 2019-03-08 On the Worst-Case Information Rates of Secret Sharing Schemes for Several Access Structures with Many Participants Takashi Hisatome, Hiroki Koga, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | secret sharing scheme / access structure / information rate |
| Paper # | IT2018-120,ISEC2018-126,WBS2018-121 |
| Date of Issue | 2019-02-28 (IT, ISEC, WBS) |
| Conference Information | |
| Committee | IT / ISEC / WBS |
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| Conference Date | 2019/3/7(2days) |
| 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 |
| Chair | Jun Muramatsu(NTT) / Atsushi Fujioka(Kanagawa Univ.) / Minoru Okada(NAIST) |
| Vice Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) / Shiho Moriai(NICT) / Shoichi Hirose(Univ. of Fukui) / Koji Ohuchi(Shizuoka Univ.) / Kenichi Takizawa(NICT) |
| Secretary | Tadashi Wadayama(Nagano Pref Inst. of Tech.) / Shiho Moriai(UEC) / Shoichi Hirose(Tokai Univ.) / Koji Ohuchi(NICT) / Kenichi Takizawa(Ibaraki Univ.) |
| Assistant | Takahiro Yoshida(Yokohama College of Commerce) / Kazunari Omote(Tsukuba Univ.) / Yuuji Suga(IIJ) / Ryohei Nakamura(National Defense Academy) / Duong Quang Thang(NAIST) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Wideband System |
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| Language | JPN |
| 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) |
| Date | 2019-03-08 |
| Paper # | IT2018-120,ISEC2018-126,WBS2018-121 |
| Volume (vol) | vol.118 |
| Number (no) | IT-477,ISEC-478,WBS-479 |
| Page | pp.pp.275-280(IT), pp.275-280(ISEC), pp.275-280(WBS), |
| #Pages | 6 |
| Date of Issue | 2019-02-28 (IT, ISEC, WBS) |