| Presentation | 2009-05-22 A Consideration on Generating Ordinary Pairing Friendly Curve of Composite Order That Has Two Large Prime Factors Kazushi NISHII, Yumi SAKEMI, Yasuyuki NOGAMI, Yoshitaka MORIKAWA, |
|---|---|
| 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, pairing-friendly elliptic curve also needs to have such a composite order. This paper proposes a method for generating ordinary pairing-friendly curves of such a composite order especially when the embedding degree k is equal to 3, the discriminant is equal to 3, in addition the elliptic curve is given in the form of y^2=x^3+a, a∈F_p. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | pairing / composite order / ordinary curve |
| Paper # | ISEC2009-8 |
| Date of Issue |
| Conference Information | |
| Committee | ISEC |
|---|---|
| Conference Date | 2009/5/15(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Information Security (ISEC) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Consideration on Generating 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 curve |
| 1st Author's Name | Kazushi NISHII |
| 1st Author's Affiliation | Graduate school of Nature Science and Technology, 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 | Yasuyuki NOGAMI |
| 3rd Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| 4th Author's Name | Yoshitaka MORIKAWA |
| 4th Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| Date | 2009-05-22 |
| Paper # | ISEC2009-8 |
| Volume (vol) | vol.109 |
| Number (no) | 42 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |