| Presentation | 2017-05-12 A Note on the Numbers of Cards Required to Make Copied Commitments Daiki Miyahara, Yu-ichi Hayashi, Takaaki Mizuki, Hideaki Sone, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Card-based cryptography performs secure multi-party computation with black and red cards. Usually, a Boolean value is encoded based on the order of a black card and a red card; such a pair of face-down cards is called a commitment to the corresponding bit. A copy protocol makes $n$ commitments from an input commitment. This paper shows lower bounds on the numbers of cards for performing copy. Specifically, we show that it is impossible to construct a copy protocol with $2n$ cards. Furthermore, we show that there is no finite-runtime copy protocol with $2n+1$ cards. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Card-Based Cryptography / Secure Multi-Party Computation / Deck of Cards / Card games |
| Paper # | ISEC2017-3 |
| Date of Issue | 2017-05-05 (ISEC) |
| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2017/5/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Masahiro Mambo(Kanazawa Univ.) |
| Vice Chair | Kazuto Ogawa(NHK) / Atsushi Fujioka(Kanagawa Univ.) |
| Secretary | Kazuto Ogawa(Toshiba) / Atsushi Fujioka(Tohoku Univ.) |
| Assistant | Toshihiro Ohigashi(Tokai Univ.) / Yuuji Suga(IIJ) / Atsuo Inomata(Tokyo Denki Univ.) |
| Paper Information | |
| Registration To | 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) | A Note on the Numbers of Cards Required to Make Copied Commitments |
| Sub Title (in English) | |
| Keyword(1) | Card-Based Cryptography |
| Keyword(2) | Secure Multi-Party Computation |
| Keyword(3) | Deck of Cards |
| Keyword(4) | Card games |
| 1st Author's Name | Daiki Miyahara |
| 1st Author's Affiliation | Tohoku University(Tohoku Univ.) |
| 2nd Author's Name | Yu-ichi Hayashi |
| 2nd Author's Affiliation | Nara Institute of Science and Technology(NAIST) |
| 3rd Author's Name | Takaaki Mizuki |
| 3rd Author's Affiliation | Tohoku University(Tohoku Univ.) |
| 4th Author's Name | Hideaki Sone |
| 4th Author's Affiliation | Tohoku University(Tohoku Univ.) |
| Date | 2017-05-12 |
| Paper # | ISEC2017-3 |
| Volume (vol) | vol.117 |
| Number (no) | ISEC-25 |
| Page | pp.pp.15-22(ISEC), |
| #Pages | 8 |
| Date of Issue | 2017-05-05 (ISEC) |