| 非平衡2n-周期二元序列的5-错误序列 |
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| 引用本文： | 周建钦,王洪翠.非平衡2n-周期二元序列的5-错误序列[J].吉首大学学报(自然科学版),2013,34(5):27-30. |
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| 作者姓名： | 周建钦 王洪翠 |
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| 作者单位： | （1.杭州电子科技大学通信工程学院,浙江 杭州 310018；2.安徽工业大学计算机学院,安徽 马鞍山 243032） |
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| 基金项目： | 安徽省自然科学基金资助项目（1208085MFl06） |
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| 摘 要： | 线性复杂度和k-错线性复杂度是密钥流序列随机性检测及其稳定性度量的2项重要指标，对衡量密钥流序列密码强度具有极其重要的意义.计算序列k-错线性复杂度的一个行之有效的方法是，分析研究汉明重量最小的错误序列.在此基础之上，给出了5-错线性复杂度不大于2n－3、等于2n－2－2m和2n－2－2m+x时错误序列的计数公式，并通过计算机编程进行了验证.
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| 关 键 词： | 密钥流序列 k-错线性复杂度 k-错误序列 |
5-Error Sequences of 2n-PeriOdic Unbalanced Binary Sequences |
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| ZHOU Jian-qin,WANG Hong-cui.5-Error Sequences of 2n-PeriOdic Unbalanced Binary Sequences[J].Journal of Jishou University(Natural Science Edition),2013,34(5):27-30. |
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| Authors: | ZHOU Jian-qin WANG Hong-cui |
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| Affiliation: | （1.Telecommunication School,Hangzhou Dianzi University,Hangzhou 310018,China;2.Computer Science School,Anhui University of Technology,Ma’anshan 243032,Anhui China） |
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| Abstract: | The linear complexity and k-error linear complexity have been used to measure me ranaomness and the stability of key stream sequences. Both of them are extremely important for studying key stream strength. An ef- fective method to calculate k-error linear complexity is to study error sequences with minimal Hamming weight. On this basis, the counting functions on the 5-error sequences with 5-error linear complexity up to 2n-3 or equal to 2n-2 -2m , 2n-2 -2m ＋x are derived, and are verified by computer program. |
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| Keywords: | key stream sequence k-error linear complexity k-error sequence |
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