A Generalised Construction of Multiple Complete Complementary Codes and Asymptotically Optimal Aperiodic Quasi-Complementary Sequence Sets
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In recent years, complementary sequence sets have found many important applications in multi-carrier code-division multiple-access (MC-CDMA) systems for their good correlation properties. In this paper, we propose a construction, which can generate multiple sets of (N,N,N)- complete complementary codes (CCCs) over Z_N, where N (N≥ 3) is a positive integer of the form N=pq (p is the least prime factor of N and q is an odd integer). Interestingly, the maximum inter-set aperiodic cross-correlation magnitude of the proposed CCCs is bounded by N. When N is odd, the combination of the proposed CCCs results to a new set of sequences to obtain asymptotically optimal aperiodic quasi-complementary sequence sets (QCSSs) with parameters (N(p-1)^2,N,N,N), having much greater set size than the set size of the asymptotically optimal and near-optimal QCSSs reported till date, with more flexible parameters.
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