| Presentation | 2002/7/12 Efficient exponentiation of Montgomery-type elliptic curves (2) Yuichi FUTA, Motoji OHMORI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The Montgomery-type elliptic curve is known for their faster arithmetic than the Weierstrass-type elliptic curve. The dominant operation of Elliptic Curve Cryptosystem(ECC) is scalar multiplication of points on an elliptic curve, and it usually includes scalar multiplication of a fixed base point of ECC. For Weierstrass-type elliptic curves, accelerating methods, using the pre-computed table of scalar multiplication of the fixed point, are widely studied. However, such a scheme does not naturally expand to the Montgomery-type elliptic curve. In this paper, we propose fast scalar multiplication methods on Montgomery-type elliptic curves using pre-computed table for the first time. Our method is 1.6 times as fast as the known method for Montgomery-type elliptic curves. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curve / Montgomery-type elliptic curve / exponentiation / fixed point |
| Paper # | ISEC2002-51 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2002/7/12(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 | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Efficient exponentiation of Montgomery-type elliptic curves (2) |
| Sub Title (in English) | |
| Keyword(1) | elliptic curve |
| Keyword(2) | Montgomery-type elliptic curve |
| Keyword(3) | exponentiation |
| Keyword(4) | fixed point |
| 1st Author's Name | Yuichi FUTA |
| 1st Author's Affiliation | Multimedia Development Center, Matsushita Electric Industrial Co., Ltd.() |
| 2nd Author's Name | Motoji OHMORI |
| 2nd Author's Affiliation | Multimedia Development Center, Matsushita Electric Industrial Co., Ltd. |
| Date | 2002/7/12 |
| Paper # | ISEC2002-51 |
| Volume (vol) | vol.102 |
| Number (no) | 212 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |