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 |
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Committee | ISEC |
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Conference Date | 2008/5/9(1days) |
Place (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 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 |