Set Size Bound for Aperiodic Z-Complementary Sets
Information Theory
2024-12-03 v1 math.IT
Abstract
The widely and commonly adopted upper bound on the set size of aperiodic Z-complementary sets (ZCSs) in the literature has been a conjecture. In this letter, we provide detailed derivations for this conjectured bound. A ZCS is optimal when its set size reaches the upper bound. Furthermore, we propose a new construction of ZCSs based on extended generalized Boolean functions (EGBFs). The proposed method introduces optimal ZCSs with new parameters.
Keywords
Cite
@article{arxiv.2412.01438,
title = {Set Size Bound for Aperiodic Z-Complementary Sets},
author = {Cheng-Yu Pai and Yu-Che Tung and Zhen-Ming Huang and Chao-Yu Chen},
journal= {arXiv preprint arXiv:2412.01438},
year = {2024}
}