| Presentation | 2009-09-25 A Study on Higher Order Difference Operation for Calculating a Large Number of Elliptic Curve Scalar Multiples Tomoko K. MATSUSHIMA, Yoshitaka SAGARA, Nobuhide SAKURAGI, Osamu ASHIHARA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Efficient elliptic curve arithmetic is crucial for cryptosystems based on elliptic curves. Such cryptosystems often require computing a scalar multiple kP of a base point P. In this paper, we propose an effective algorithm to compute a large number of scalar multiples simultaneously for a given point P on an elliptic curve. The algorithm adopts the higher order difference operation, in each step of which sort and differencing operations are carried out. We evaluate the performance of our algorithm. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curves / scalar multiplication / higher order difference operation / sort |
| Paper # | ISEC2009-40 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2009/9/18(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 | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Study on Higher Order Difference Operation for Calculating a Large Number of Elliptic Curve Scalar Multiples |
| Sub Title (in English) | |
| Keyword(1) | elliptic curves |
| Keyword(2) | scalar multiplication |
| Keyword(3) | higher order difference operation |
| Keyword(4) | sort |
| 1st Author's Name | Tomoko K. MATSUSHIMA |
| 1st Author's Affiliation | Department of Information Systems Engineering, Polytechnic University() |
| 2nd Author's Name | Yoshitaka SAGARA |
| 2nd Author's Affiliation | Graduate School of Engineering, Polytechnic University |
| 3rd Author's Name | Nobuhide SAKURAGI |
| 3rd Author's Affiliation | Department of Information Systems Engineering, Polytechnic University / |
| 4th Author's Name | Osamu ASHIHARA |
| 4th Author's Affiliation | |
| Date | 2009-09-25 |
| Paper # | ISEC2009-40 |
| Volume (vol) | vol.109 |
| Number (no) | 207 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |