IEICE TRANSACTIONS on Fundamentals
Two Constructions of Binary Z-Complementary Pairs
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.4 pp.768-772
- Publication Date
- 2021/04/01
- Publicized
- 2020/09/28
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020EAL2069
- Type of Manuscript
- LETTER
- Category
- Communication Theory and Signals
Authors
Shucong TIAN
Southwest Jiaotong University
Meng YANG
Southwest Jiaotong University
Jianpeng WANG
Southwest Jiaotong University
Keyword
Latest Issue
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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},}
Copy
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 -
English
