| Z4上周期为2p2的四元广义分圆序列的线性复杂度 |
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| 引用本文： | 杜小妮,赵丽萍,王莲花.Z4上周期为2p2的四元广义分圆序列的线性复杂度[J].电子与信息学报,2018,40(12):2992-2997. |
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| 作者姓名： | 杜小妮 赵丽萍 王莲花 |
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| 基金项目： | 国家自然科学基金(61462077, 61772022)，安徽省自然科学基金(1608085MF143)，上海市自然科学基金(16ZR1411200) |
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| 摘 要： | 该文根据特征为4的Galois环理论，在Z4上利用广义分圆构造出一类新的周期为2p2(p为奇素数)的四元序列，并且给出了它的线性复杂度。结果表明，该序列具有良好的线性复杂度性质，能够抗击Berlekamp-Massey (B-M)算法的攻击，是密码学意义上性质良好的伪随机序列。
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| 关 键 词： | 流密码 四元序列 线性复杂度 广义分圆类 Galois 环 |
| 收稿时间： | 2018-02-11 |
Linear Complexity of Quaternary Sequences over Z4 Derived from Generalized Cyclotomic Classes Modulo 2p2 |
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| Xiaoni DU,Liping ZHAO,Lianhua WANG.Linear Complexity of Quaternary Sequences over Z4 Derived from Generalized Cyclotomic Classes Modulo 2p2[J].Journal of Electronics & Information Technology,2018,40(12):2992-2997. |
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| Authors: | Xiaoni DU Liping ZHAO Lianhua WANG |
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| Affiliation: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | Based on the theory of Galois rings of characteristic 4, a new class of quaternary sequences with period 2p2 is established over Z4 using generated cyclotomy, where p is an odd prime. The linear complexity of the new sequences is determined. Results show that the sequences have larger linear complexity and resist the attack by Berlekamp-Massey (B-M) algorithm. It is a good sequence from the viewpoint of cryptography. |
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