| Presentation | 2001/3/15 Extension Fields by Using (x^ A SAITO, T. HIRAMOTO, T. DANNO, Y. NOGAMI, Y. MORIKAWA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Elliptic Curve Cryptosystem has attracted much attentions as a public-key cryptosystem in next generation, and an extension field has been used as the definition field. The arithmetic speed in extension feild is drastically differentby the selection of characteristic, extension degree or basis, and therefor, it is necessary to pay the attention to this selection. In such meaning, OEF proposed recently is said that it is optimal. In this paper,we propose a class of finite fields which uses {ω, ω^2,…,ω^m} as a basis in order to execute multiplication and inversion faster than OEF, where ω is a zero of (χ^ |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Finite Field / OEF / Multiplication / Frobenius Map / Inversion |
| Paper # | ISEC2000-119 |
| Date of Issue |
| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2001/3/15(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) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Extension Fields by Using (x^ |
| Sub Title (in English) | |
| Keyword(1) | Finite Field |
| Keyword(2) | OEF |
| Keyword(3) | Multiplication |
| Keyword(4) | Frobenius Map |
| Keyword(5) | Inversion |
| 1st Author's Name | A SAITO |
| 1st Author's Affiliation | Faculty of Engineering Okayama University() |
| 2nd Author's Name | T. HIRAMOTO |
| 2nd Author's Affiliation | Faculty of Engineering Okayama University |
| 3rd Author's Name | T. DANNO |
| 3rd Author's Affiliation | Faculty of Engineering Okayama University |
| 4th Author's Name | Y. NOGAMI |
| 4th Author's Affiliation | Faculty of Engineering Okayama University |
| 5th Author's Name | Y. MORIKAWA |
| 5th Author's Affiliation | Faculty of Engineering Okayama University |
| Date | 2001/3/15 |
| Paper # | ISEC2000-119 |
| Volume (vol) | vol.100 |
| Number (no) | 691 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |