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arXiv · 2412.01438

Set Size Bound for Aperiodic Z-Complementary Sets

Cheng-Yu Pai·Yu-Che Tung·Zhen-Ming Huang·Chao-Yu Chen
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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.

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Cheng-Yu Pai, Yu-Che Tung, Zhen-Ming Huang, Chao-Yu Chen. 2024-12-02. Set Size Bound for Aperiodic Z-Complementary Sets. https://arxiv.org/abs/2412.01438

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