用迹表示研究序列的线性复杂度 |
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引用本文: | 周炜,刘志勤. 用迹表示研究序列的线性复杂度[J]. 大学数学, 1997, 0(4) |
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作者姓名: | 周炜 刘志勤 |
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作者单位: | 空军导弹学院(周炜),海军后勤学院(刘志勤) |
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摘 要: | 本文用迹表示式证明了序列的线性复杂度等于其秩矩阵的秩,并由此导出了正规基的计数公式.
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关 键 词: | 线性复杂度 秩矩阵 正规基 |
An Study of the Linear Complexity of Shift Register Sequences with Trace Representation |
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Abstract: | By using trace representation it is proved that the linear complexity of a shift register sequence equals to the rank of its rank matrix, and an enumeration formula for normal bases of a finite field over any of its subfield is derived. |
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Keywords: | linear complexity rank matrix normal basis. |
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