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Compared with the perfect complementary sequence sets, quasi-complementarysequence sets (QCSSs) can support more users to work in multicarrier CDMAcommunications. A near-optimal periodic QCSS is constructed in this paper byusing an optimal quaternary sequence set and an almost difference set. With thechange of the values of parameters in the almost difference set, thenear-optimal QCSS can become asymptotically optimal and the number of userssupported by the subcarrier channels in CDMA system has an exponential growth.

Constructions of Optimal and Near-Optimal Quasi-Complementary Sequence Sets from an Almost Difference Set