New Families of Binary Sequence Pairs With Two-Level and Three-Level Correlation

摘要

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 $hbox{gcd}(n,p)=1$ , and optimal correlation values $-1$ are constructed, as well as new families of binary sequence pairs with three-level correlation and period $Nequiv 0({rm mod;}4)$. For the new binary sequence pairs with optimal correlation values, their corresponding new difference set pairs and almost difference set pairs are also derived.