A Direct Construction of Cross Z-Complementary Sequence Sets with Large Set Size
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 , where each code has 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.
Keywords
Cite
@article{arxiv.2207.02551,
title = {A Direct Construction of Cross Z-Complementary Sequence Sets with Large Set Size},
author = {Praveen Kumar and Sudhan Majhi and Subhabrata Paul},
journal= {arXiv preprint arXiv:2207.02551},
year = {2022}
}