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二元周期序列的5错线性复杂度
引用本文:周建钦,王传银.二元周期序列的5错线性复杂度[J].杭州电子科技大学学报,2013(1):13-15.
作者姓名:周建钦  王传银
作者单位:杭州电子科技大学通信工程学院,浙江杭州310018
基金项目:基金项目:浙江省自然科学基金资助项目(Y1100318,R1090138)
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的二元序列的线性复杂度,将k错线性复杂度的计算转化为求Hamming重量的最小的错误序列,基于Games.Chan算法,分析了线性复杂度为2n,周期为2n的二元序列的5错线性复杂度的分布情况,给出了5错线性复杂度为2n-3,2n-3+1和2n-2-2n-4的二元序列的计数公式,并通过计算机编程进行了验证。

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

On the 5-Error Linear Complexity of Periodic Binary Sequences
ZHOU Jian-qin,WANG Chuan-yin.On the 5-Error Linear Complexity of Periodic Binary Sequences[J].Journal of Hangzhou Dianzi University,2013(1):13-15.
Authors:ZHOU Jian-qin  WANG Chuan-yin
Affiliation:(School of Communication Engineering, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China)
Abstract:The linear complexity and the k-error linear complexity of a sequence have been used as important measures of key stream sequence strength. Based on Games-Chan algorithm, this paper analyzes on 5-error linear complexity distribution of 2n-periodic binary sequences with linear complexity 2n by studying linear plexity of 2n-periodic binary sequences with linear complexity is, and, gives the counting functions and veri- fies them by a number of examples with computer.
Keywords:periodic sequence  linear complexity  error linear complexity  error linear complexity distribution
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