| Presentation | 2008-02-28 A Study on Efficient Scalar Multiplication for Elliptic Curve Cryptosystems Naoya TERASHIMA, Tomoko K. MATSUSHIMA, 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 propose efficient algorithms to compute λP±μQ directly for small integers λ and μ from given points P and Q. We develop 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 with relatively small costs. We have construct the minimum-cost path table in which the maximum number of k (k_ |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curves / scalar multiplication / addition chains / power tree / path table |
| Paper # | IT2007-41,ISEC2007-138,WBS2007-72 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2008/2/21(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 Efficient Scalar Multiplication for Elliptic Curve Cryptosystems |
| Sub Title (in English) | |
| Keyword(1) | elliptic curves |
| Keyword(2) | scalar multiplication |
| Keyword(3) | addition chains |
| Keyword(4) | power tree |
| Keyword(5) | path table |
| 1st Author's Name | Naoya TERASHIMA |
| 1st Author's Affiliation | Information Systems Engineering Dept., Polytechnic Univ.() |
| 2nd Author's Name | Tomoko K. MATSUSHIMA |
| 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 | 2008-02-28 |
| Paper # | IT2007-41,ISEC2007-138,WBS2007-72 |
| Volume (vol) | vol.107 |
| Number (no) | 500 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |