| Presentation | 2013-05-23 Improvement in Addition formula on Elliptic Curves Yoshitaka NAGAI, Tetsuya IZU, Masaaki SHIRASE, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is important to speed up scalar multiplication in elliptic curve cryptosystem and then various speeding-up techniques have been proposed. This paper shows that the cost of scalar multiplication of a base point on an elliptic curve given by Weierstrass form over a prime field is reduced using a bijective transform so that x coordinate = ±y coordinate of the base point. In fact, the cost of scalar multiplication is reduced by 2～5% in projective, Jacobian, and modified Jacobian coordinates. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curve cryptosystem / scalar multiplication / speeding up / bijective transform |
| Paper # | ISEC2013-7 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2013/5/16(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) | Improvement in Addition formula on Elliptic Curves |
| Sub Title (in English) | |
| Keyword(1) | elliptic curve cryptosystem |
| Keyword(2) | scalar multiplication |
| Keyword(3) | speeding up |
| Keyword(4) | bijective transform |
| 1st Author's Name | Yoshitaka NAGAI |
| 1st Author's Affiliation | Future University Hakodate() |
| 2nd Author's Name | Tetsuya IZU |
| 2nd Author's Affiliation | FUJITSU LABORATORIES Ltd. |
| 3rd Author's Name | Masaaki SHIRASE |
| 3rd Author's Affiliation | Future University Hakodate |
| Date | 2013-05-23 |
| Paper # | ISEC2013-7 |
| Volume (vol) | vol.113 |
| Number (no) | 53 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |