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2n周期平衡二元序列的6-错线性复杂度
引用本文:周建钦,陈加如.2n周期平衡二元序列的6-错线性复杂度[J].杭州电子科技大学学报,2011(6):17-19.
作者姓名:周建钦  陈加如
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:浙江省自然科学基金资助项目(Y1100318 R1090138)
摘    要:该文针对线性复杂度和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.周期序列的k-错线性复杂度就是在其一个周期改变至多k比特后所得到的线性复杂度最小值.基于Games-Chan算法,讨论了线性复杂度小于2n的2n-周期二元序列的6-错线性复杂度分布情况,给出了对应6-错线性复杂度为2n-2,2n-3和2n-3+1...

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 6-Error Linear Complexity of 2n-Periodic Balanced Binary Sequences
ZHOU Jian-qin,CHEN Jia-ru.On the 6-Error Linear Complexity of 2n-Periodic Balanced Binary Sequences[J].Journal of Hangzhou Dianzi University,2011(6):17-19.
Authors:ZHOU Jian-qin  CHEN Jia-ru
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 keystream sequence strength.The k-error linear complexity of periodic sequence is defined to be the smallest linear complexity that can be obtained by changing k or fewer bits of the sequence per period.Based on Games-Chan algorithm,6-error linear complexity distribution of 2n-periodic binary sequences with linear complexity less than 2n is discussed.The complete counting functions on 2n-periodic balanced binary sequences with 6-error linear complexity 2n-2,2n-3 and 2n-3+1 are derived respectively.
Keywords:periodic sequence  linear complexity  error linear complexity  error linear complexity distribution
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