| Presentation | 2009-07-03 Accelerating Cross Twisted Ate Pairing with Ordinary Pairing Friendly Curve of Composite Order That Has Two Large Prime Factors Yumi SAKEMI, Kazushi NISHII, Tetsuya IZUTA, Tatsuya YUASA, 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, pairing-based cryptographic applications such as ID-based cryptography have received much attention. On the other hand, RSA cryptography has been widely used and is defined over a certain composite order as the modulus. In detail, it generally needs to be a product of two large prime numbers. In order to apply RSA-based techniques to pairing-based cryptography, the authors have proposed a method for generating ordinary pairing-friendly curves of such a composite order especially when the embedding degree k is equal to 3 and the order of curve is given as a polynomial of degree 2 with an integer variable. Then, as the next problem, its pairing calculation needs to be efficiently carried out. This paper shows the implementation of cross twisted Ate pairing using the obtained composite order curve and some experimental results. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | pairing / composite order / ordinary pairing-friendly elliptic curve |
| Paper # | ISEC2009-25,SITE2009-17,ICSS2009-39 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2009/6/25(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) | Accelerating Cross Twisted Ate Pairing with Ordinary Pairing Friendly Curve of Composite Order That Has Two Large Prime Factors |
| Sub Title (in English) | |
| Keyword(1) | pairing |
| Keyword(2) | composite order |
| Keyword(3) | ordinary pairing-friendly elliptic curve |
| 1st Author's Name | Yumi SAKEMI |
| 1st Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University() |
| 2nd Author's Name | Kazushi NISHII |
| 2nd Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| 3rd Author's Name | Tetsuya IZUTA |
| 3rd Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| 4th Author's Name | Tatsuya YUASA |
| 4th Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| 5th Author's Name | Yasuyuki NOGAMI |
| 5th Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| 6th Author's Name | Yoshitaka MORIKAWA |
| 6th Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| Date | 2009-07-03 |
| Paper # | ISEC2009-25,SITE2009-17,ICSS2009-39 |
| Volume (vol) | vol.109 |
| Number (no) | 113 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |