| Presentation | 2010-12-15 Higher Degree Traces for Rational Point Groups of Non Symmetric Ordinary Pairings Yasuyuki NOGAMI, Shoichi TAKEUCHI, Tomoko MATSUSHIMA, Satoshi UEHARA, 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 cryptographies have received attentions. A part of its security is based on elliptic curve discrete logarithm problem (ECDLP). Though ECDLP itself has been survived from several attacking methods such as ρ method, those especially on pairing-friendly curves. This research especially deals with non super-singular subfield elliptic curves. Then, it is introduced that norms and traces of coordinates make collision-based attacks on such curves more efficient. In order to make the collision-detecting process theoretically unique, it is shown that higher degree traces play an important role. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | collision of points / norms / traces / higher degree traces |
| Paper # | ISEC2010-65 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2010/12/8(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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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) | Higher Degree Traces for Rational Point Groups of Non Symmetric Ordinary Pairings |
| Sub Title (in English) | |
| Keyword(1) | collision of points |
| Keyword(2) | norms |
| Keyword(3) | traces |
| Keyword(4) | higher degree traces |
| 1st Author's Name | Yasuyuki NOGAMI |
| 1st Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University() |
| 2nd Author's Name | Shoichi TAKEUCHI |
| 2nd Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| 3rd Author's Name | Tomoko MATSUSHIMA |
| 3rd Author's Affiliation | Polytechnic University |
| 4th Author's Name | Satoshi UEHARA |
| 4th Author's Affiliation | Faculty of Environmental Engineering, The University of Kitakyushu |
| 5th Author's Name | Yoshitaka MORIKAWA |
| 5th Author's Affiliation | Graduate school of Nature Science and Technology, Okayama University |
| Date | 2010-12-15 |
| Paper # | ISEC2010-65 |
| Volume (vol) | vol.110 |
| Number (no) | 337 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |