| Bent序列的相关值分布的研究 |
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| 引用本文： | 刘古胜,朱玉明.Bent序列的相关值分布的研究[J].数学的实践与认识,2009,39(22). |
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| 作者姓名： | 刘古胜 朱玉明 |
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| 作者单位： | 湖北省荆楚理工学院数理学院,湖北,荆门,448000 |
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| 摘 要： | 对已知的Bent序列集的构造方法作了研究,明确地给出了任一Bent序列集相关值的分配情况.同时,利用有限域上一类新的Bent函数,构造出了一类新的Bent序列集,给出了这类Bent序列的线性复杂度.
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| 关 键 词： | Bent序列 广义迹变换 两值自相关序列 有限域 线性复杂度 |
The Correlation Distribution of Binary Bent Sequences |
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| LIU Gu-sheng,ZHU Yu-ming.The Correlation Distribution of Binary Bent Sequences[J].Mathematics in Practice and Theory,2009,39(22). |
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| Authors: | LIU Gu-sheng ZHU Yu-ming |
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| Abstract: | The construction methods of Bent-function sequences are studied and the correlation distribution of Bent-function sequences is determined. A new class of binary bent-function sequences are constructed and the linear span of these sequences are also derived. |
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| Keywords: | bent sequences modified trace transform two-level autocorrelation sequences finite field linear span |
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