A New Construction of Z-complementary Codes

In this paper, a new construction of Z-complementary code sets is proposed based on conventional complete complementary codes, interleaving operations and orthogonality-preserving transformation. This method reduces the construction of Z-complementary codes to the construction of the shift sequences. The generated Z-complementary codes have a bivalued zero correlation zone (ZCZ). It is shown that, the number of mates of the new generated Z-complementary code sets can reach the bound P[N/Z] where P, N and Z denote the number of elementary codes, the code length and ZCZ length of the generated Z-complementary code sets respectively, and [x] denotes the largest integer no larger than x.