| Presentation | 1997/7/18 Efficient elliptic curve exponentiation(I) Atsuko Miyaji, Takatoshi Ono, Henri Cohen, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Elliptic curve cryptosystems, proposed by Koblitz([8]) and Miller([11]), can be constructed over a smaller definition field than the ElGamal cryptosystems([5]) or the RSA cryptosystems([16]). This is why elliptic curve cryptosystems have begun to attract notice. There are mainly two types in elliptic curve cryptosystems, elliptic curves E over F_<2^r> and E over F_p. However, there has not been reported fast implementation over E/F_p. Some current systems based on ElGamal or RSA may often use modulo arithmetic over F_p. Therefore it is convenient to construct fast elliptic curve cryptosystems over F_p. In this paper, we investigate how to implement elliptic curve cryptosystems on E/F_p. We also present the running time of elliptic curve cryptosystems based on E/F_p. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curve / exponentiation |
| Paper # | ISEC97-16 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 1997/7/18(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 Security (ISEC) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Efficient elliptic curve exponentiation(I) |
| Sub Title (in English) | |
| Keyword(1) | elliptic curve |
| Keyword(2) | exponentiation |
| 1st Author's Name | Atsuko Miyaji |
| 1st Author's Affiliation | Multimedia Development Center Matsushita Electric Industrial Co., LTD.() |
| 2nd Author's Name | Takatoshi Ono |
| 2nd Author's Affiliation | Matsushita Information Systems Research Laboratory Nagoya Co., Ltd. |
| 3rd Author's Name | Henri Cohen |
| 3rd Author's Affiliation | Universite Bordeaux |
| Date | 1997/7/18 |
| Paper # | ISEC97-16 |
| Volume (vol) | vol.97 |
| Number (no) | 181 |
| Page | pp.pp.- |
| #Pages | 12 |
| Date of Issue | |