A Criterion for Determining the Crosscorrelation of Binary Sequences from GMW Constructions
A binary sequence from the GMW constructions is defined by a chain of power functions and trace functions. In this paper, for such a sequence, we present a criterion on the decimation such that the crosscorrelation between its decimation and its adjoint sequence is independent of all the powers. Since a binary GMW or cascaded GMW sequence is the same as its adjoint sequence, the crosscorrelation of the sequence and its decimations can be determined from known results on m-sequences by the criterion. Furthermore, we discuss the 3-valued and 4-valued correlation functions of cascaded GMW sequences.
GMW construction decimated sequence crosscorrelation
Shenghua LI Lei HU Xiangyong ZENG
Faculty of Mathematics and Computer Science, Hubei University, Wuhan, 430062, China State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences,Beijing
国际会议
成都
英文
69-73
2007-09-23(万方平台首次上网日期,不代表论文的发表时间)