| GF(q)上一类新型的广义自缩序列 |
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| 引用本文： | 王锦玲,兰娟丽.GF(q)上一类新型的广义自缩序列[J].山东大学学报(理学版),2009,44(10):91-96. |
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| 作者姓名： | 王锦玲 兰娟丽 |
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| 作者单位： | 郑州大学数学系, 河南 郑州 450001 |
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| 基金项目： | 河南省教育厅自然科学指导性基金资助项目(200510459003) |
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| 摘 要： | 设计了GF(q)上一类新型的广义自缩生成器。GF(q)上的广义自缩序列族B(a)具有群结构和线性结构,这些序列之间具有良好的互相关性和均衡性。当n≥2时,族B(a)中不少于(q-1)/q的序列具有最小周期2×qn-1,最后给出了各种情况下线性复杂度的上界。
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| 关 键 词： | 广义自缩序列 最小周期 互相关性 线性复杂度 |
| 收稿时间： | 2008-09-15 |
A special generalized self-shrinking sequence on GF(q) |
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| WANG Jin-Ling,LAN Juan-Li.A special generalized self-shrinking sequence on GF(q)[J].Journal of Shandong University,2009,44(10):91-96. |
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| Authors: | WANG Jin-Ling LAN Juan-Li |
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| Institution: | Department of Mathematics Zhengzhou University, Zhengzhou 450001, Henan, China |
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| Abstract: | A new sequence generator on GF(q) is presented.The novel generalized self-shrinking sequence family B(a) on GF(q) has a group and linear structure. Any two sequences of the family have a perfect cross correlation feature,and all sequences in the family are balanced except several special sequences. If n≥2, no less than(q-1)/q of the family B(a) have their least periods 2×qn-1. Finally,the upper bounds of linear complexity in every case are given. |
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| Keywords: | generalized self-shrinking sequence the least period cross correlation feature linear complexity |
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