| Presentation | 1996/7/26 Fundamental Studies on Schoof's Algorithm Yuichi FUTA, Yasuo MAEDA, Ryuichi SAKAI, Masao KASAHARA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The order of the group formed by rational points on an elliptic curve is an important parameter for cryptosystems with elliptic curves. In this paper, we discuss a method for calculating the order of any elliptic curves. One can calculate the order by using the Schoof's algorithm. We present a new algorithm based on Schoof's algorithm. This algorithm takes a shorter time, if the eigenvalues of the Frobenius endmorphism exist. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curve / Frobenius endmorphism / torsion Polynomial |
| Paper # | IT96-25 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 1996/7/26(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 Theory (IT) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Fundamental Studies on Schoof's Algorithm |
| Sub Title (in English) | |
| Keyword(1) | elliptic curve |
| Keyword(2) | Frobenius endmorphism |
| Keyword(3) | torsion Polynomial |
| 1st Author's Name | Yuichi FUTA |
| 1st Author's Affiliation | Dept. of Electronics and Information Science,Faculty of Engineering and Design, Kyoto Institute of Technology() |
| 2nd Author's Name | Yasuo MAEDA |
| 2nd Author's Affiliation | Dept. of Electronics and Information Science,Faculty of Engineering and Design, Kyoto Institute of Technology |
| 3rd Author's Name | Ryuichi SAKAI |
| 3rd Author's Affiliation | Dept. of Apllied Electronics, Osaka Electric and Communication University |
| 4th Author's Name | Masao KASAHARA |
| 4th Author's Affiliation | Dept. of Electronics and Information Science,Faculty of Engineering and Design, Kyoto Institute of Technology |
| Date | 1996/7/26 |
| Paper # | IT96-25 |
| Volume (vol) | vol.96 |
| Number (no) | 203 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |