| Binary Sequences from a Pair of Elliptic Curves |
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| 引用本文： | CHEN Zhixiong ZHANG Ning XIAO Guozhen. Binary Sequences from a Pair of Elliptic Curves[J]. 武汉大学学报:自然科学英文版, 2006, 11(6): 1511-1515. DOI: 10.1007/BF02831809 |
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| 作者姓名： | CHEN Zhixiong ZHANG Ning XIAO Guozhen |
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| 作者单位： | [1]State Key Laboratory of Integrated Service Network, Xidian University, Xi＇an 710071, Shaanxi, China [2]Department of Mathematics, Putian University, Putian 351100, Fujian, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （60473028）, the Natural Science Foundation of Fujian Province （A0540011）, the Science and Technology Foundation of Fujian Educational Committee （JA04264） and the Science and Technology Foundation of Putian City （2005804） |
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| 摘 要： | A family of binary sequences were constructed by using an elliptic curve and its twisted curves over finite fields. It was shown that these sequences possess ＂good＂ cryptographie properties of 0-1 distribution, long period and large linear complexity. The results indicate that such se quences provide strong potential applications in cryptography.
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| 关 键 词： | 伪随机序列 椭圆曲线 流密码 密码术 |
| 文章编号： | 1007-1202（2006）06-1511-05 |
| 收稿时间： | 2006-04-21 |
Binary sequences from a pair of elliptic curves |
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| Chen Zhixiong,Zhang Ning,Xiao Guozhen. Binary sequences from a pair of elliptic curves[J]. Wuhan University Journal of Natural Sciences, 2006, 11(6): 1511-1515. DOI: 10.1007/BF02831809 |
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| Authors: | Chen Zhixiong Zhang Ning Xiao Guozhen |
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| Affiliation: | (1) State Key Laboratory of Integrated Service Network, Xidian University, 710071 Xi'an, Shaanxi, China;(2) Department of Mathematics, Putian University, 851100 Putian, Fujian, China |
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| Abstract: | A family of binary sequences were constructed by using an elliptic curve and its twisted curves over finite fields. It was shown that these sequences possess “good” cryptographic properties of 0–1 distribution, long period and large linear complexity. The results indicate that such sequences provide strong potential applications in cryptography. Foundation item: Supported by the National Natural Science Foundation of China (60473028), the Natural Science Foundation of Fujian Province (A0540011), the Science and Technology Foundation of Fujian Educational Committee (JA04264) and the Science and Technology Foundation of Putian City (2005S04) Biography: CHEN Zhixiong (1972), male, Ph. D. candidate, Leeturer of Putian University, research direction: cryptography. |
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| Keywords: | pseudo-random sequences elliptic curves stream ciphers elliptic curve cryptography |
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