A Construction of a New Family of M-ary Sequences With Low Correlation From Sidel'nikov Sequences
In this paper, a new family of M-ary sequences of period p(n) - 1 is proposed. The proposed family is constructed by the addition of cyclic shifts of an M-ary Sidel'nikov sequence and its reverse sequence. The number of sequences contained in this family is about (M - 1)(2) times of their period and the maximum magnitude of their correlation values is upper bounded by 4 root p(n) + 5.
family of m-ary sequences m-ary sequences sidel'nikov sequences autocorrelation cross-correlation legendre sequences power residue sequences