Presentation | 2009-09-25 An Implementation of Tate Pairing with Non-Supersingular Curves of Embedding degree 1 Tetsuya IZUTA, Yumi SAKEMI, Kazushi NISHII, Shoichi TAKEUCHI, Yasuyuki NOGAMI, Yoshitaka MORIKAWA, |
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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 it 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, pairing friendly curve needs to have such a composite order. This paper focuses on some non-supersingular pairing friendly curves whose order r has two large prime factors and embedding degree k is equal to 1. This paper shows some experimental results on generating such a composite order curve and Tate pairing. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | pairing / embedding degree 1 / non-supersingular pairing friendly elliptic curve |
Paper # | ISEC2009-48 |
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Conference Information | |
Committee | ISEC |
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Conference Date | 2009/9/18(1days) |
Place (in Japanese) | (See Japanese page) |
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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) | An Implementation of Tate Pairing with Non-Supersingular 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 |
1st Author's Name | Tetsuya IZUTA |
1st Author's Affiliation | Communication Network Engineering, Faculty of Engineering, Okayama University() |
2nd Author's Name | Yumi SAKEMI |
2nd Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
3rd Author's Name | Kazushi NISHII |
3rd Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
4th Author's Name | Shoichi TAKEUCHI |
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 | 2009-09-25 |
Paper # | ISEC2009-48 |
Volume (vol) | vol.109 |
Number (no) | 207 |
Page | pp.pp.- |
#Pages | 6 |
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