| Presentation | 2018-03-08 Constructions of the (3,n) and (4,n) Threshold Visual Cryptography Using Combinatorial Designs and Their Performance Evaluation Kotaro Okada, Hiroki Koga, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A $(t,n)$-threshold visual cryptography scheme ($(t,n)$-VCS) is a kind of secret sharing schemes for digital images. In this scheme, a secret image is encoded to $n$ shares and is recovered from superimposition of arbitrary $t$ shares, while no information on a secret image is revealed from any collection of less than $t$ shares. In several previous studies, the structures called block designs appear as the results of optimization of the $(t,n)$-VCS. In this study, we focus on this connection between the VCS and block designs and propose constructions of the $(3,n)$ and $(4,n)$-VCS using the incident matrices of block designs. We also discuss the conditions for the block designs under which the relative differences of the obtained $(3,n)$ and $(4,n)$-VCS are maximized. We compare the maximized optimal relative differences with the optimal relative differences obtained by using a linear programming scheme. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | visual cryptography scheme / $(t,n)$-VCS / block design / BIBD |
| Paper # | IT2017-109,ISEC2017-97,WBS2017-90 |
| Date of Issue | 2018-03-01 (IT, ISEC, WBS) |
| Conference Information | |
| Committee | WBS / IT / ISEC |
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| Conference Date | 2018/3/8(2days) |
| 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 |
| Chair | Fumiaki Maehara(Waseda Univ.) / Masayoshi Ohashi(Fukuoka Univ.) / Kazuto Ogawa(NHK) |
| Vice Chair | Masanori Hamamura(Kochi Univ. of Tech.) / Fumie Ono(NICT) / Jun Muramatsu(NTT) / Atsushi Fujioka(Kanagawa Univ.) / Shiho Moriai(NICT) |
| Secretary | Masanori Hamamura(Mitsubishi Electric) / Fumie Ono(Ibaraki Univ.) / Jun Muramatsu(Yokohama College of Commerce) / Atsushi Fujioka(UEC) / Shiho Moriai(Tohoku Univ.) |
| Assistant | Akira Nakamura(Tokyo Univ. of Science) / Ryohei Nakamura(National Defense Academy) / Sigeaki Kuzuoka(wakayama univ.) / Keita Emura(NICT) / Yuichi Komano(TOSHIBA) / Yuuji Suga(IIJ) |
| Paper Information | |
| Registration To | Technical Committee on Wideband System / Technical Committee on Information Theory / Technical Committee on Information Security |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Constructions of the (3,n) and (4,n) Threshold Visual Cryptography Using Combinatorial Designs and Their Performance Evaluation |
| Sub Title (in English) | |
| Keyword(1) | visual cryptography scheme |
| Keyword(2) | $(t,n)$-VCS |
| Keyword(3) | block design |
| Keyword(4) | BIBD |
| 1st Author's Name | Kotaro Okada |
| 1st Author's Affiliation | University of Tsukuba(Univ. of Tsukuba) |
| 2nd Author's Name | Hiroki Koga |
| 2nd Author's Affiliation | University of Tsukuba(Univ. of Tsukuba) |
| Date | 2018-03-08 |
| Paper # | IT2017-109,ISEC2017-97,WBS2017-90 |
| Volume (vol) | vol.117 |
| Number (no) | IT-487,ISEC-488,WBS-489 |
| Page | pp.pp.37-42(IT), pp.37-42(ISEC), pp.37-42(WBS), |
| #Pages | 6 |
| Date of Issue | 2018-03-01 (IT, ISEC, WBS) |