Constructions of Binary Sequence Pairs of Period $3p$ With Optimal Three-Level Correlation

Abstract

In this letter, we present a new generalized cyclotomic method over $Z_{3p}$ based on the Chinese remainder theorem and the cyclotomic classes of order 2. Two new families of binary sequence pairs of period $N=3p$ with optimal three-level correlation values are constructed by utilizing these new generalized cyclotomic classes, where $p>3$ is an odd prime. All the constructed binary sequence pairs have optimal correlation values {−3, 1} or {−1, 3}.