| Presentation | 2001/7/18 Fast Simultaneous Scalar Multiplication on Elliptic Curve with Montgomery Form Toru AKISHITA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose the new method to compute x-coordinate of kP+lQ simultaneously on the elliptic curve with Montgomery form over GF(p).To compute x-coordinate of kP+lQ is required in ECDSA signature verification.The proposed method is about 25% faster than the method using Montgomery scalar multiplication and the recovery of Y-coordinate of kP, lQ.Also, our method requires about as large computational cost as Weierstrass simultaneous scalar multiplication using mixed coordinates and NAF. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic curve with Montgomery form / ECDSA / simultaneous scalar multiplication / prime field |
| Paper # | ISEC2001-32 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2001/7/18(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) | Fast Simultaneous Scalar Multiplication on Elliptic Curve with Montgomery Form |
| Sub Title (in English) | |
| Keyword(1) | elliptic curve with Montgomery form |
| Keyword(2) | ECDSA |
| Keyword(3) | simultaneous scalar multiplication |
| Keyword(4) | prime field |
| 1st Author's Name | Toru AKISHITA |
| 1st Author's Affiliation | Internet Laboratories, Sony Corporation() |
| Date | 2001/7/18 |
| Paper # | ISEC2001-32 |
| Volume (vol) | vol.101 |
| Number (no) | 214 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |