Family of sequences with low cross-correlation and large linear span
Liu Gu-sheng · Computer Engineering and Applications Journal · 2008
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 3k-1.The presented family has 4-valued out-of-phase auto- and cross-correlation values -1±3k,-1,-1+2·3k,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.