| Presentation | 2007-03-15 Efficient Elliptic Curve Scalar Multiplication with triple bases Kenji MIZOSOE, Atsuko MIYAJI, Toshiaki KAMEI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The operation that becomes the center of ECC is an arithmetic calculation of scalar multiplication dP to point P on an elliptic curve and secret key d regardless of decoding the cipher text or generating the signature. And the point addition is defined by ECADD where different point are added (P+Q) and ECDBL where a point is doubled (2P). Scalar multiplication can be divided to 2 kinds, one is called "Fixed points scalar multiplication using a table where has pre-computed points, and the other is named "Random points scalar multiplication". In this paper, we proposed new algorithm with triple bases without pre-computation. In many scalar multiplication algorithms, a base number 2 is used widely. So the operation 2P, 2P+Q are taken repeatedly. We added the operation 3P+Q proposed by Ciet et.al. and new formulae 5P±Q, 5P±2Q, then we got a realization of a speedy scalar multiplication in Affine coordinate. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Elliptic Curve / Scalar Multiplication for random points / Base number |
| Paper # | IT2006-75,ISEC2006-130,WBS2006-72 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2007/3/8(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) | Efficient Elliptic Curve Scalar Multiplication with triple bases |
| Sub Title (in English) | |
| Keyword(1) | Elliptic Curve |
| Keyword(2) | Scalar Multiplication for random points |
| Keyword(3) | Base number |
| 1st Author's Name | Kenji MIZOSOE |
| 1st Author's Affiliation | Japan Advanced Institute of Science and Technology() |
| 2nd Author's Name | Atsuko MIYAJI |
| 2nd Author's Affiliation | Japan Advanced Institute of Science and Technology |
| 3rd Author's Name | Toshiaki KAMEI |
| 3rd Author's Affiliation | Japan Advanced Institute of Science and Technology |
| Date | 2007-03-15 |
| Paper # | IT2006-75,ISEC2006-130,WBS2006-72 |
| Volume (vol) | vol.106 |
| Number (no) | 596 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |