Title :
Linear complexity of binary sequences with interleaved structure
Author :
Hai Xiong ; Longjiang Qu ; Chao Li ; Shaojing Fu
Author_Institution :
Sci. Coll., Nat. Univ. of Defense Technol., Changsha, China
Abstract :
In this study, the minimal polynomials and the linear complexity of interleaved binary sequences are investigated. Both the linear complexity and the minimal polynomials of low correlation zone sequences constructed by Zhou et al. are completely determined. Besides, an open problem proposed by Li and Tang is discussed. At last, a sufficient condition and a necessary condition are presented about when the linear complexity of the interleaved sequences constructed by Tang et al. attains the maximum.
Keywords :
binary sequences; computational complexity; polynomials; interleaved binary sequences; linear complexity; low correlation zone sequences; minimal polynomials; open problem;
Journal_Title :
Communications, IET
DOI :
10.1049/iet-com.2012.0649