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Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves |
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| Authors: | Steven D. Galbraith Xibin Lin Michael Scott |
| Affiliation: | 1. Mathematics Department, Auckland University, Private Bag 92019, Auckland, 1142, New Zealand 2. School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, 510275, P.R. China 3. School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland |
| Abstract: | Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant–Lambert–Vanstone (GLV) method. Iijima, Matsuo, Chao and Tsujii gave such homomorphisms for a large class of elliptic curves by working over mathbbFp2{mathbb{F}}_{p^{2}}. We extend their results and demonstrate that they can be applied to the GLV method. |
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