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A pair of binary sequences is generalized from the concept of a two-level autocorrelation function of a single binary sequence. In this paper, new families of binary sequence pairs with period N = np, where gcd(n,p) = 1, and optimal correlation values -1 are constructed, as well as new families of binary sequence pairs with three-level correlation and… (More)
In this paper, a new class of quaternary sequence pairs with even period and three-level correlation is constructed by using the inverse Gray mapping and two difference set pairs of the same modulus. The maximum nontrivial correlation of the constructed sequence pairs are shown to be 2.