Z-complementary pairs (ZCPs) were proposed by Fan et al. to make up for the scarcity of Golay complementary pairs. A ZCP of odd length N is called Z-optimal if its zero correlation zone width can achieve the maximum value (N + 1)/2. In this letter, inserting three elements to a GCP of length L, or deleting a point of a GCP of length L, we propose two constructions of Z-optimal ZCPs with length L + 3 and L - 1, where L=2α 10β 26γ, α ≥ 1, β ≥ 0, γ ≥ 0 are integers. The proposed constructions generate ZCPs with new lengths which cannot be produced by earlier ones.
Shucong TIAN
Southwest Jiaotong University
Meng YANG
Southwest Jiaotong University
Jianpeng WANG
Southwest Jiaotong University
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Shucong TIAN, Meng YANG, Jianpeng WANG, "Two Constructions of Binary Z-Complementary Pairs" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 4, pp. 768-772, April 2021, doi: 10.1587/transfun.2020EAL2069.
Abstract: Z-complementary pairs (ZCPs) were proposed by Fan et al. to make up for the scarcity of Golay complementary pairs. A ZCP of odd length N is called Z-optimal if its zero correlation zone width can achieve the maximum value (N + 1)/2. In this letter, inserting three elements to a GCP of length L, or deleting a point of a GCP of length L, we propose two constructions of Z-optimal ZCPs with length L + 3 and L - 1, where L=2α 10β 26γ, α ≥ 1, β ≥ 0, γ ≥ 0 are integers. The proposed constructions generate ZCPs with new lengths which cannot be produced by earlier ones.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAL2069/_p
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@ARTICLE{e104-a_4_768,
author={Shucong TIAN, Meng YANG, Jianpeng WANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Two Constructions of Binary Z-Complementary Pairs},
year={2021},
volume={E104-A},
number={4},
pages={768-772},
abstract={Z-complementary pairs (ZCPs) were proposed by Fan et al. to make up for the scarcity of Golay complementary pairs. A ZCP of odd length N is called Z-optimal if its zero correlation zone width can achieve the maximum value (N + 1)/2. In this letter, inserting three elements to a GCP of length L, or deleting a point of a GCP of length L, we propose two constructions of Z-optimal ZCPs with length L + 3 and L - 1, where L=2α 10β 26γ, α ≥ 1, β ≥ 0, γ ≥ 0 are integers. The proposed constructions generate ZCPs with new lengths which cannot be produced by earlier ones.},
keywords={},
doi={10.1587/transfun.2020EAL2069},
ISSN={1745-1337},
month={April},}
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TY - JOUR
TI - Two Constructions of Binary Z-Complementary Pairs
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 768
EP - 772
AU - Shucong TIAN
AU - Meng YANG
AU - Jianpeng WANG
PY - 2021
DO - 10.1587/transfun.2020EAL2069
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2021
AB - Z-complementary pairs (ZCPs) were proposed by Fan et al. to make up for the scarcity of Golay complementary pairs. A ZCP of odd length N is called Z-optimal if its zero correlation zone width can achieve the maximum value (N + 1)/2. In this letter, inserting three elements to a GCP of length L, or deleting a point of a GCP of length L, we propose two constructions of Z-optimal ZCPs with length L + 3 and L - 1, where L=2α 10β 26γ, α ≥ 1, β ≥ 0, γ ≥ 0 are integers. The proposed constructions generate ZCPs with new lengths which cannot be produced by earlier ones.
ER -