周期为2p2 的四阶二元广义分圆序列的线性复杂度

杜小妮; 王国辉; 魏万银

doi:10.11999/JEIT150180

周期为2p2 的四阶二元广义分圆序列的线性复杂度

doi: 10.11999/JEIT150180

基金项目:

国家自然科学基金(61202395, 61462077, 61262057)和教育部新世纪优秀人才支持计划基金(NCET-12-0620)

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- 文章访问数: 1440
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- 被引次数: 0
出版历程
- 收稿日期: 2015-02-02
- 修回日期: 2015-07-01
- 刊出日期: 2015-10-19

Linear Complexity of Binary Generalized Cyclotomic Sequences of Order Four with Period2p2

Funds:

The National Natural Science Foundation of China (61202395, 61462077, 61262057, 61562077)

摘要

摘要: 该文基于分圆理论，构造了一类周期为2p2的四阶二元广义分圆序列。利用有限域上多项式分解理论研究序列的极小多项式和线性复杂度。结果表明，该序列具有良好的线性复杂度性质，能够抗击B-M算法的攻击。是密码学意义上性质良好的伪随机序列。
- 流密码 /
- 广义分圆序列 /
- 线性复杂度 /
- 极小多项式
Abstract: Based on the theory of generalized cyclotomic, a new class of binaey generalized cyclotomic sequences of order four with period2p2 is established. Using the theory of polynomial factor over finite field, the linear complexity and minimal polynomial of the new sequences are researched. Results show that the sequences has larger linear complexity and can resist the attack by B-M algorithm. It is a good sequence from the viewpoint of cryptography.
- Stream ciphers /
- Generalized cyclotomic sequence /
- Linear complexity /
- Minimal polynomial

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参考文献(20)

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