Cross-Correlation Bounds and Values for Balanced Quaternary Sequence Pairs with Period N ? 2(mod4)

In this paper, the cross-correlation of a class of quaternary sequence pairs with an optimal autocorrelation magnitude of period \(N \equiv 2( {mod4} )\) is determined, under given conditions the cross-correlation is a ternary cross-correlation, i.e. \(\{ {N,2, - 2} \}\) and \(N\) occurs only once. Furthermore, a lower bound of 2 is established for the cross-correlation magnitude of balanced quaternary sequence pairs.