New construction of Z-optimal type-II binary Z-complementary pairs of odd length

Junjie Chen; Xudong Li

doi:10.1117/12.3012111

21 December 2023 New construction of Z-optimal type-II binary Z-complementary pairs of odd length

Junjie Chen, Xudong Li

Proceedings Volume 12970, Fourth International Conference on Signal Processing and Computer Science (SPCS 2023); 129701U (2023) https://doi.org/10.1117/12.3012111
Event: Fourth International Conference on Signal Processing and Computer Science (SPCS 2023), 2023, Guilin, China

Abstract

There are two types of binary Z-complementary pairs (ZCPs), Type-I ZCPs and Type-II ones. Existing known Z-optimal Type-II Odd-Length binary ZCPs (OB-ZCPs) have only for very limited lengths. In order to obtain Z-optimal non-periodic Type-II OB-ZCPs with more lengths, we present a new construction of Type-II OB-ZCPs of lengths 2^α 10^β 26^γ −3 (where α, β, γ are non-negative integers, α≥1 and α + β + γ ≥ 2 ) by using Turyn’s construction and deletion function. The proposed systematic construction can obtain not only Z-optimal Type-II nonperiodic OB-ZCPs but also optimal ones. The obtained type-II non-periodic OB-ZCPs provide more flexible choices for applications.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Junjie Chen and Xudong Li "New construction of Z-optimal type-II binary Z-complementary pairs of odd length", Proc. SPIE 12970, Fourth International Conference on Signal Processing and Computer Science (SPCS 2023), 129701U (21 December 2023); https://doi.org/10.1117/12.3012111

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