| Montgomery-形式椭圆曲线构造方法研究 |
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| 引用本文： | 鲍皖苏,丁宝,汪翔. Montgomery-形式椭圆曲线构造方法研究[J]. 微计算机信息, 2006, 22(6): 20-21 |
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| 作者姓名： | 鲍皖苏 丁宝 汪翔 |
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| 作者单位： | 450004,河南郑州解放军信息工程大学电子技术学院 |
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| 基金项目： | 河南省杰出青年科学基金 |
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| 摘 要： | 本文将广义Mersenne素数与Montgomery-形式椭圆曲线的CM(复乘)构造方法有机结合,并在构造过程中充分运用了预计算,和原有方法相比,既提高了挑选曲线的速度,又提高了公钥密码体制实现的效率。
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| 关 键 词： | 复乘 Montgomery-形式椭圆曲线 广义Mersenne素数 |
| 文章编号： | 1008-0570(2006)02-3-0020-02 |
| 修稿时间： | 2005-07-01 |
Reseaches on construction of Montgomery-form Elliptic Curves |
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| Bao,Wansu,Ding,Bao,Wang,Xiang. Reseaches on construction of Montgomery-form Elliptic Curves[J]. Control & Automation, 2006, 22(6): 20-21 |
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| Authors: | Bao Wansu Ding Bao Wang Xiang |
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| Abstract: | In this paper we combine the generalized Mersenne prime and the CM method to construct Montgomery-form elliptic curves, besides it sufficiently use pre-computation, compared with the former method, the new method not only improves the speed of selecting curves, but also improves the efficiency of the public key cryptosystems. |
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| Keywords: | complex multiplication Montgomery-form elliptic curve generalized Mersenne prime |
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