Regular Section
New Family of Binary Sequences with Low Correlation
2008 Volume E91.A Issue 1 Pages 417-421
Details
2008 Volume E91.A Issue 1 Pages 417-421
In this paper, a new family of binary sequences of period 2n-1 with low correlation is proposed for integer n=em and even m. The new family has family size 2n+1 and maximum nontrivial correlation 2n+e/2+1 and 2n+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 2n/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 2n-1 for even n. Moreover, the correlation distribution of the new family is also determined.
