| Presentation | 2009-12-16 GLV Method for Non-Supersingular Paring-Friendly Curves of Embedding Degree 1 Shoichi TAKEUCHI, Tetsuya IZUTA, Yumi SAKEMI, Kazushi NISHII, Yasuyuki NOGAMI, Yoshitaka MORIKAWA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Recently, some pairing-based cryptographies that uses a non-supersingular pairing-friendly curve whose order has large prime factors as RSA does have been proposed. Since it generally takes a lot of calculation time for generating such a composite order pairing-friendly curve, several efficient methods have been also proposed. Then, using such a special pairing-friendly curve, pairing-based cryptographies will be implemented with not only pairing calculations but also scalar multiplications and exponentiations over a certain finite field. This paper first introduces a non-supersingular pairing-friendly curve of embedding degree 1 whose order has two large prime factors as RSA does. Then, it is shown that GLV method and multi scalar multiplication are efficiently applied for accelerating a scalar multiplication. After that, some experimental results are shown. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | pairing / embedding degree 1 / non-supersingular pairing friendly elliptic curve / GLV method |
| Paper # | ISEC2009-76 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2009/12/9(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) | GLV Method for Non-Supersingular Paring-Friendly Curves of Embedding Degree 1 |
| Sub Title (in English) | |
| Keyword(1) | pairing |
| Keyword(2) | embedding degree 1 |
| Keyword(3) | non-supersingular pairing friendly elliptic curve |
| Keyword(4) | GLV method |
| 1st Author's Name | Shoichi TAKEUCHI |
| 1st Author's Affiliation | Communication Network Engineering, Faculty of Engineering, Okayama University() |
| 2nd Author's Name | Tetsuya IZUTA |
| 2nd Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| 3rd Author's Name | Yumi SAKEMI |
| 3rd Author's Affiliation | Communication Network Engineering, Faculty of Engineering, Okayama University |
| 4th Author's Name | Kazushi NISHII |
| 4th Author's Affiliation | Communication Network Engineering, Faculty of Engineering, Okayama University |
| 5th Author's Name | Yasuyuki NOGAMI |
| 5th Author's Affiliation | Communication Network Engineering, Faculty of Engineering, Okayama University |
| 6th Author's Name | Yoshitaka MORIKAWA |
| 6th Author's Affiliation | Communication Network Engineering, Faculty of Engineering, Okayama University |
| Date | 2009-12-16 |
| Paper # | ISEC2009-76 |
| Volume (vol) | vol.109 |
| Number (no) | 337 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |