| 2n-周期二元序列的6-错线性复杂度 |
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| 引用本文： | 周建钦,刺锋.2n-周期二元序列的6-错线性复杂度[J].杭州电子科技大学学报,2011(6):13-16. |
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| 作者姓名： | 周建钦 刺锋 |
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| 作者单位： | 杭州电子科技大学通信工程学院,浙江杭州310018 |
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| 基金项目： | 浙江省自然科学基金资助项目（Y1100318 R1090138） |
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| 摘 要： | 线性复杂度和k-错线性复杂度是度量密钥流序列的密码强度的重要指标.该文通过研究周期为2n的二元序列线性复杂度,基于Games-Chan算法,讨论了线性复杂度为2n-1的2n-周期二元序列的6-错线性复杂度分布情况.在大多数情况下,给出了对应6-错线性复杂度序列的计数公式,并且指出了参考文献中的一个重要错误.
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| 关 键 词： | 周期序列 线性复杂度 错误线性复杂度 错误线性复杂度分布 |
The 6-error Linear Complexity of 2n-Periodic Binary Sequences |
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| Affiliation: | ZHOU Jian-qin,LA Feng(School of Communication Engineering,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China) |
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| Abstract: | The linear complexity and the k-error linear complexity of a sequence have been used as important measures of keystream sequence strength.By studying linear complexity of binary sequences with period 2n,based on Games-Chan algorithm,6-error linear complexity distribution of 2n-periodic binary sequences with linear complexity 2n-1 is discussed.In most cases,the complete counting functions on the 6-error linear complexity of 2n-periodic binary sequences are presented.As a consequence of these results,an important error in the bibliography is pointed out. |
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| Keywords: | periodic sequence linear complexity error linear complexity error linear complexity distribution |
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