A Construction of a New Family of $M$-ary Sequences With Low Correlation From Sidel'nikov Sequences

摘要

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 $4 sqrt {p^{n} } +5$.