A note on binary sequence pairs with two-level correlation

• A new proof of the ideal two-level correlation binary sequence pairs introduced by Peng et al. is presented.
• New constructions of ideal two-level correlation binary sequence pairs are proposed.
• New classes of difference set pairs are obtained.

In this letter, we present a new proof of the ideal two-level correlation binary sequence pairs introduced by Peng et al. We also provide a new construction of ideal two-level correlation binary sequence pair. As a co-product, new classes of difference set pairs can be derived.