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arXiv · 2207.02551

A Direct Construction of Cross Z-Complementary Sequence Sets with Large Set Size

Praveen Kumar·Sudhan Majhi·Subhabrata Paul
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Abstract

This letter presents a direct construction of cross Z-complementary sequence sets (CZCSSs), whose aperiodic correlation sums exhibit zero correlation zones at both the front-end and tail-end shifts. CZCSS can be regarded as an extension of the symmetrical Z-complementary code set (SZCCS). The available construction of SZCCS has a limitation on the set size, with a maximum set size of 8. The proposed generalized Boolean function based construction can generate CZCSS of length in the form of non-power-of-two with variable set size $2^{n+1}$, where each code has $2^{n+1}$ constituent sequences. The proposed construction also yields cross Z-complementary pairs and cross Z-complementary sets with a large number of constituent sequences compared to the existing work.

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Praveen Kumar, Sudhan Majhi, Subhabrata Paul. 2022-07-06. A Direct Construction of Cross Z-Complementary Sequence Sets with Large Set Size. https://arxiv.org/abs/2207.02551

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