| Presentation | 2012-05-18 A Note on Efficient Software Implementation of the Scalar Multiplication over Barreto-Naehrig Curves Tadanori TERUYA, Naoki KANAYAMA, Eiji OKAMOTO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we describe a design of efficient software implementation of the scalar multiplication over the subgroup, which is characterized as the p-th Frobenius endomorphism and the p-scalar multiplication are identical, of Barreto-Naehrig curves defined over prime field with characteristic p. We implement the simultaneous multiple point multiplication based on the Gallant-Lambert-Vanstone method, and optimize the integer decomposition and the scalar multiplication based on the calculation times of the field arithmetic. We achieved 40% of calculation time of the binary method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | scalar multiplication / Barreto-Naehrig curve / software implementation |
| Paper # | ISEC2012-3 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2012/5/11(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) | A Note on Efficient Software Implementation of the Scalar Multiplication over Barreto-Naehrig Curves |
| Sub Title (in English) | |
| Keyword(1) | scalar multiplication |
| Keyword(2) | Barreto-Naehrig curve |
| Keyword(3) | software implementation |
| 1st Author's Name | Tadanori TERUYA |
| 1st Author's Affiliation | Faculty of Engineering, Information and Systems, University of Tsukuba() |
| 2nd Author's Name | Naoki KANAYAMA |
| 2nd Author's Affiliation | Faculty of Engineering, Information and Systems, University of Tsukuba |
| 3rd Author's Name | Eiji OKAMOTO |
| 3rd Author's Affiliation | Faculty of Engineering, Information and Systems, University of Tsukuba |
| Date | 2012-05-18 |
| Paper # | ISEC2012-3 |
| Volume (vol) | vol.112 |
| Number (no) | 39 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |