| Presentation | 2008-05-16 A Study on Higher Order Differnce Operation for Elliptic Curve Scalar Multiplication Using Path Table Tomoko K. MATSUSHIMA, Yoshitaka SAGARA, Osamu ASHIHARA, |
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| 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. Recently, some papers have proposed efficient algorithms to compute λP ± μQ directly for small integers λ and μ from given points P and Q. The authors have already developed some programs to find the path with the minimum cost for each scalar multiplication kP under the condition that several operations of λP ± μQ can be used. We have also developed the minimum-cost path-table of scalar multiples kP for 1 ≦ k ≦ k_ |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curves / scalar multiplication / addition chains / power tree / path table / higher order difference operation |
| Paper # | ISEC2008-11 |
| Date of Issue |
| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2008/5/9(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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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 Differnce Operation for Elliptic Curve Scalar Multiplication Using Path Table |
| Sub Title (in English) | |
| Keyword(1) | elliptic curves |
| Keyword(2) | scalar multiplication |
| Keyword(3) | addition chains |
| Keyword(4) | power tree |
| Keyword(5) | path table |
| Keyword(6) | higher order difference operation |
| 1st Author's Name | Tomoko K. MATSUSHIMA |
| 1st Author's Affiliation | Information Systems Engineering Dept., Polytechnic Univ.() |
| 2nd Author's Name | Yoshitaka SAGARA |
| 2nd Author's Affiliation | Information Systems Engineering Dept., Polytechnic Univ. |
| 3rd Author's Name | Osamu ASHIHARA |
| 3rd Author's Affiliation | Information Systems Engineering Dept., Polytechnic Univ. |
| Date | 2008-05-16 |
| Paper # | ISEC2008-11 |
| Volume (vol) | vol.108 |
| Number (no) | 38 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |