| Presentation | 2003/3/20 Construction of Elliptic Curves with a suitable Embedding Degree Tarou HIRAI, Atsuko MIYAJI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Cryptosystems and signature systems using Weil-Pairing and Tate-Pairing was proposed. These systems require construction of the elliptic curves with a suitable embedding degree. Barreto el. and Morain el. proposed a method, in which a ratio of the size of definition field of elliptic curve to subgroup of elliptic curve order was approximately 2. In this paper, we compare two methods. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Weil-Pairing / Tate-Pairing / embedding degree / constructing elliptic curves / CM method |
| Paper # | IT2002-86,ISEC2002-144,SST2002-192,ITS2002-169 |
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| Conference Information | |
| Committee | ITS |
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| Conference Date | 2003/3/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
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| Paper Information | |
| Registration To | Intelligent Transport Systems Technology (ITS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Construction of Elliptic Curves with a suitable Embedding Degree |
| Sub Title (in English) | |
| Keyword(1) | Weil-Pairing |
| Keyword(2) | Tate-Pairing |
| Keyword(3) | embedding degree |
| Keyword(4) | constructing elliptic curves |
| Keyword(5) | CM method |
| 1st Author's Name | Tarou HIRAI |
| 1st Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology(JAIST)() |
| 2nd Author's Name | Atsuko MIYAJI |
| 2nd Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology(JAIST) |
| Date | 2003/3/20 |
| Paper # | IT2002-86,ISEC2002-144,SST2002-192,ITS2002-169 |
| Volume (vol) | vol.102 |
| Number (no) | 748 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |