数学杂志2024，Vol.44Issue(1)：17-34,18.
两类具有低自相关和大线性复杂度的4p周期二元序列
TWO CLASSES OF BINARY SEQUENCES OF PERIOD 4p WITH LOW AUTOCORRELATION AND LARGE LINEAR COMPLEXITY
摘要
Abstract
The design of binary sequences with good autocorrelation property and large linear complexity is very important for diverse applications of communication systems and stream ciphers.In this paper,we propose two classes of binary sequences of period 4p constructed by interleaving four appropriate sequences chosen from Hall's sextic residue sequences and their modified versions.The autocorrelation and linear complexity of these sequences are completely determined.The results show that the proposed sequences have both low autocorrelation sidelobes as well as very large linear complexity.关键词
二元序列/交织结构/自相关/线性复杂度Key words
binary sequences/interleaved structure/autocorrelation/linear complexity分类
数理科学引用本文复制引用
杨波,朱自坤,肖自碧..两类具有低自相关和大线性复杂度的4p周期二元序列[J].数学杂志,2024,44(1):17-34,18.基金项目
Supported by National Natural Science Foundation of China(12061027). （12061027）
