| 广义自缩序列b(ak-2)和b(ak+2)的最小周期 |
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| 引用本文： | 周建钦. 广义自缩序列b(ak-2)和b(ak+2)的最小周期[J]. 苏州科技学院学报(自然科学版), 2007, 24(2): 59-64 |
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| 作者姓名： | 周建钦 |
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| 作者单位： | 安徽工业大学,计算机学院,安徽,马鞍山,243002 |
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| 摘 要： | 讨论了b（ak-3），b（ak-2），…，b（ak＋2），b（ak＋3）等广义自缩序列的最小周期，通过选择适当的比特串并分析其个数的奇偶性，在大多数情形下证明了它们的最小周期达到最大，即2^n-1。
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| 关 键 词： | 序列密码 m-序列 广义自缩序列 最小周期 |
| 文章编号： | 1672-0687（2006）02-D059-06 |
| 修稿时间： | 2006-10-30 |
Least Periods of Generalized Self-Shrinking Sequences b(ak-2)and b(ak+2) |
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| ZHOU Jian-qin. Least Periods of Generalized Self-Shrinking Sequences b(ak-2)and b(ak+2)[J]. Journal of University of Science and Technology of Suzhou, 2007, 24(2): 59-64 |
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| Authors: | ZHOU Jian-qin |
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| Affiliation: | Dept. of Computer Science, Anhui University of Technology, Maanshan 243002, China |
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| Abstract: | This paper discusses the least periods of generalized self-shrinking sequences b(ak-3),b(ak-2),..., b(ak+2),b(ak+3),...,etc.By selecting suitable bit strings and analysing the numbers of their occurrences,the author proves that in most cases their least periods reach the maximum,namely 2n-1. |
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| Keywords: | stream cipher m-sequence generalized self-shrinking sequence least period |
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