New Correlation Bound and Construction of Quasi-Complementary Sequence Sets

IEEE TRANSACTIONS ON INFORMATION THEORY(2024)

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Abstract
Quasi-complementary sequence sets (QCSSs) have attracted sustained research interests for simultaneously supporting more active users in multi-carrier code-division multiple-access (MC-CDMA) systems compared to complete complementary codes (CCCs). In this paper, we investigate a novel class of QCSSs composed of multiple CCCs. We derive a new aperiodic correlation lower bound for this type of QCSSs, which is tighter than the existing bounds for QCSSs. We then present a systematic construction of such QCSSs with a flexible alphabet size and a low maximum correlation magnitude, and also show that the constructed aperiodic QCSSs can meet the newly derived bound asymptotically.
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Key words
Multi-carrier code-division multiple-access (MC-CDMA),aperiodic correlation,complete complementary code (CCC),quasi-complementary sequence set (QCSS),multivariate function
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