| Satoh的算法及其mathematica语言的实现 |
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| 引用本文： | 郭艾侠. Satoh的算法及其mathematica语言的实现[J]. 安庆师范学院学报(自然科学版), 2002, 8(1): 7-9. DOI: 10.3969/j.issn.1007-4260.2002.01.003 |
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| 作者姓名： | 郭艾侠 |
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| 作者单位： | 广州大学,数学与信息安全研究所,广东广州,510000 |
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| 摘 要： | 椭圆曲线在密码学中有很多应用,因而计算一条椭圆曲线上的点的个数问题在密码学的应用上非常关键.本文主要介绍计算有限域上一条椭圆曲线的点的个数的Satoh 算法,进而利用该算法寻求安全椭圆曲线.本文还简单介绍利用mathematica语言实现此算法的一些问题处理.
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| 关 键 词： | Satoh算法 椭圆曲线 典范提升 |
| 文章编号： | 1007-4260(2002)01-0007-03 |
| 修稿时间： | 2001-09-29 |
Satoh Algorithm and Its Imple in Mathematica |
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| GUO Ai-xia. Satoh Algorithm and Its Imple in Mathematica[J]. Journal of Anqing Teachers College(Natural Science Edition), 2002, 8(1): 7-9. DOI: 10.3969/j.issn.1007-4260.2002.01.003 |
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| Authors: | GUO Ai-xia |
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| Abstract: | There are many important applications for elliptic curves in the cryptology,and counting points on elliptic curves is vital.This article introduces an algorithm on counting points of an elliptic curves of a defined field.Satoh Algorithm,and then trys to find a security elliptic curves in the algorithm.The article also introduces some methods to deal with the questions in the course of implementation. |
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| Keywords: | Satoh algorithm elliptic curves canonical lift |
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