New family of binary sequences with low correlation
In this paper, a new family of binary sequences of period 2(n) - 1 with low correlation is proposed for integer n = em and even m. The new family has family size 2(n) + 1 and maximum nontrivial correlation 2(n+e/2) + 1 and 2(n+e-1/2) + 1 for even and odd e respectively. Especially, for n = 2m and 3m, we obtain a new family of binary sequences with maximum nontrivial correlation 2(n/2+1) + 1, and the obtained family is one of the binary families with best correlation among the known families with family size no less than their period 2(n) - 1 for even n. Moreover, the correlation distribution of the new family is also deter-mined.
binary sequence correlation gold-like sequence gkw-like sequence