Design of low correlation zone sequence sets of period kN

In this paper we present a method to construct low correlation zone (LCZ) sequence sets of period kN for some integers k and N which are relatively prime. We construct kN-periodic LCZ sequences by combining an N-periodic sequence having good autocorrelation with a k times k Hadamard matrix. We also give some examples of our construction, which are optimal or nearly optimal with respect to the Tang-Fan-Matsufuji bound. Our construction gives flexible parameters in the sense of period and LCZ size.