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arXiv · 2301.03294

Construction of Optimal Binary Z-Complementary Code Sets with New Lengths

Gobinda Ghosh·Sudhan Majhi·Shubabrata Paul
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Abstract

Z-complementary code sets (ZCCSs) are used in multicarrier code-division multiple access (MC-CDMA) systems, for interference-free communication over multiuser and quasi-asynchronous environments. In this letter, we propose three new constructions of optimal binary $\left(R2^{k+1},2^{k+1}, R\gamma,\gamma\right)$-ZCCS, $\left(R2^{k+1},2^{k+1}, R2^{m_{2}},2^{m_{2}}\right)$-ZCCS and $\left(2^{k+1},2^{k+1},3\gamma,2\gamma\right)$-ZCCS based on generalized Boolean functions (GBFs), where $\gamma=2^{m_{1}-1}+2^{m_{1}-3}, m_{1}\geq 5, k\geq 1,m_{2}\geq 1$ and $R$ is any even number. The proposed ZCCSs cover many unreported lengths and large set sizes.

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Gobinda Ghosh, Sudhan Majhi, Shubabrata Paul. 2023-01-09. Construction of Optimal Binary Z-Complementary Code Sets with New Lengths. https://arxiv.org/abs/2301.03294

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