Presentation | 2013-05-23 Improvement in Addition formula on Elliptic Curves Yoshitaka NAGAI, Tetsuya IZU, Masaaki SHIRASE, |
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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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Committee | ISEC |
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Conference Date | 2013/5/16(1days) |
Place (in Japanese) | (See Japanese page) |
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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 |
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