TWO NEW CLASSES OF BINARY SEQUENCE PAIRS WITH THREE-LEVEL CROSS-CORRELATION

摘要

A pair of binary sequences is generalized from the concept of a two-level autocorrelation function of single binary sequence. In this paper, we describe two classes of binary sequence pairs of period N = 2q, where q = 4f + 1 is an odd prime and f is an even integer. Those classes of binary sequence pairs are based on cyclic almost difference set pairs. They have optimal three-level cross-correlation, and either balanced or almost balanced.