Constructions of Optimal Binary Z-Complementary Sequence Sets With Large Zero Correlation Zone

Abstract

In this letter, we first propose a construction of aperiodic binary Z-complementary sequence sets (ZCSSs) with length $3\cdot 2^m$ employing Boolean functions. Next we present a construction of binary ZCSSs with large set sizes by using orthogonal sequences. At last, we provide a large class of optimal binary ZCSSs of length $2^m\cdot L$ with large zero correlation zone width, where $L$ is the length of Z-complementary pairs. The lengths of the ZCSSs are more flexible than the known methods. In this letter, these systematic constructions can generate more ZCSSs of the new sequence lengths and set sizes, which have not been reported before.