关键词: 序列, 相关函数, 线性复杂度

Abstract: For a prime p=3 and even n=2k，a family of nonbinary sequences S^(r) with period 3ⁿ-1 and large family size is proposed in this paper，where r relatively primes to 3^k-1.The presented family has 4-valued out-of-phase auto- and cross-correlation values -1±3^k，-1，-1+2•3^k，and correlation distribution of the family is determined.These sequences in this family can achieve large lower bound of linear span by choosing a suitable parameter r.

Key words: sequences, correlation function, linear span