| Presentation | 2015-03-02 Efficient Calculation of Pairing with Supersingular Curve on 2-dimentional Extension Field Akito KUMANO, Yasuyuki NOGAMI, Masaaki SHIRASE, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Yoshida et al. have proposed the vector decomposition problem using supersingular curve whose embedding degree is 2. In order to apply the problem as a trapdoor of cryptosystem, it is necessary to speed up pairing calculations. This paper considers an efficient approach for Tate pairing with a supersingular curve on 2-dimentional extension field. This paper improves both Miller's algorithm and final exponentiation that is required for Tate pairing. In detail, one multiplication in the calculation of Miller's loop is eliminated by using twist map. This paper discusses how efficient the calculation of pairing becomes. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | pairing / supersingular curve |
| Paper # | IT2014-64,ISEC2014-77,WBS2014-56 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2015/2/23(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Efficient Calculation of Pairing with Supersingular Curve on 2-dimentional Extension Field |
| Sub Title (in English) | |
| Keyword(1) | pairing |
| Keyword(2) | supersingular curve |
| 1st Author's Name | Akito KUMANO |
| 1st Author's Affiliation | Okayama University() |
| 2nd Author's Name | Yasuyuki NOGAMI |
| 2nd Author's Affiliation | Okayama University |
| 3rd Author's Name | Masaaki SHIRASE |
| 3rd Author's Affiliation | Future University Hakodate |
| Date | 2015-03-02 |
| Paper # | IT2014-64,ISEC2014-77,WBS2014-56 |
| Volume (vol) | vol.114 |
| Number (no) | 471 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |