| Presentation | 2013-07-19 Application of Efficient Forms of Elliptic Curves to Ate-like Pairings Takanori YASUDA, Tsuyoshi TAKAGI, Kouichi SAKURAI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The Weierstrass form is often used as a realization of elliptic curves. In the pairing-based cryptography, many algorithms for calculating pairings perform on this form. On the other hand, alternative forms of elliptic curves exist. These forms sometimes allow for more efficient computation on elliptic curves. In this paper, we improve the Ate-like pairings, which are defined only on Weierstrass form, such that it can be treated on alternative forms. The improvement is basically due to change of elliptic curve on which pairing is defined. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Pairing-based cryptography / Ate-pairing / Optimal ate-pairing / elliptic curves |
| Paper # | ISEC2013-44,SITE2013-39,ICSS2013-49,EMM2013-46 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2013/7/11(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) | Application of Efficient Forms of Elliptic Curves to Ate-like Pairings |
| Sub Title (in English) | |
| Keyword(1) | Pairing-based cryptography |
| Keyword(2) | Ate-pairing |
| Keyword(3) | Optimal ate-pairing |
| Keyword(4) | elliptic curves |
| 1st Author's Name | Takanori YASUDA |
| 1st Author's Affiliation | Institute of Systems, Information Technologies and Nanotechnologies() |
| 2nd Author's Name | Tsuyoshi TAKAGI |
| 2nd Author's Affiliation | Institute of Mathematics of Industry, Kyushu University |
| 3rd Author's Name | Kouichi SAKURAI |
| 3rd Author's Affiliation | Institute of Systems, Information Technologies and Nanotechnologies:Department of Informatics, Kyushu University |
| Date | 2013-07-19 |
| Paper # | ISEC2013-44,SITE2013-39,ICSS2013-49,EMM2013-46 |
| Volume (vol) | vol.113 |
| Number (no) | 135 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |