A Direct Construction of Binary Even-Length Z-Complementary Pairs with Zero Correlation Zone Ratio of 6/7

Xiuping PENG; Mingshuo SHEN; Hongbin LIN; Shide WANG

doi:10.1587/transfun.2021EAL2105

IEICE TRANSACTIONS on Fundamentals

A Direct Construction of Binary Even-Length Z-Complementary Pairs with Zero Correlation Zone Ratio of 6/7

Xiuping PENG, Mingshuo SHEN, Hongbin LIN, Shide WANG

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This letter provides a direct construction of binary even-length Z-complementary pairs. To date, the maximum zero correlation zone ratio of Type-I Z-complementary pairs has reached 6/7, but no direct construction of Z-complementary pairs can achieve the zero correlation zone ratio of 6/7. In this letter, based on Boolean function, we give a direct construction of binary even-length Z-complementary pairs with zero correlation zone ratio 6/7. The length of constructed Z-complementary pairs is 2^m+3 + 2^{m + 2}+2^m+1 and the width of zero correlation zone is 2^m+3 + 2^m+2.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.12 pp.1612-1615

Publication Date: 2022/12/01

Publicized: 2022/05/26

Online ISSN: 1745-1337

DOI: 10.1587/transfun.2021EAL2105

Type of Manuscript: LETTER

Category: Digital Signal Processing

Authors

Xiuping PENG
  Yanshan University
Mingshuo SHEN
  Yanshan University
Hongbin LIN
  Yanshan University
Shide WANG
  Yanshan University

Keyword

Z-complementary pairs, zero correlation zone ratio, Boolean function, direct construction, even-length

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Xiuping PENG, Mingshuo SHEN, Hongbin LIN, Shide WANG, "A Direct Construction of Binary Even-Length Z-Complementary Pairs with Zero Correlation Zone Ratio of 6/7" in IEICE TRANSACTIONS on Fundamentals, vol. E105-A, no. 12, pp. 1612-1615, December 2022, doi: 10.1587/transfun.2021EAL2105.
Abstract: This letter provides a direct construction of binary even-length Z-complementary pairs. To date, the maximum zero correlation zone ratio of Type-I Z-complementary pairs has reached 6/7, but no direct construction of Z-complementary pairs can achieve the zero correlation zone ratio of 6/7. In this letter, based on Boolean function, we give a direct construction of binary even-length Z-complementary pairs with zero correlation zone ratio 6/7. The length of constructed Z-complementary pairs is 2^m+3 + 2^{m + 2}+2^m+1 and the width of zero correlation zone is 2^m+3 + 2^m+2.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAL2105/_p

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@ARTICLE{e105-a_12_1612,
author={Xiuping PENG, Mingshuo SHEN, Hongbin LIN, Shide WANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Direct Construction of Binary Even-Length Z-Complementary Pairs with Zero Correlation Zone Ratio of 6/7},
year={2022},
volume={E105-A},
number={12},
pages={1612-1615},
abstract={This letter provides a direct construction of binary even-length Z-complementary pairs. To date, the maximum zero correlation zone ratio of Type-I Z-complementary pairs has reached 6/7, but no direct construction of Z-complementary pairs can achieve the zero correlation zone ratio of 6/7. In this letter, based on Boolean function, we give a direct construction of binary even-length Z-complementary pairs with zero correlation zone ratio 6/7. The length of constructed Z-complementary pairs is 2^m+3 + 2^{m + 2}+2^m+1 and the width of zero correlation zone is 2^m+3 + 2^m+2.},
keywords={},
doi={10.1587/transfun.2021EAL2105},
ISSN={1745-1337},
month={December},}

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TY - JOUR
TI - A Direct Construction of Binary Even-Length Z-Complementary Pairs with Zero Correlation Zone Ratio of 6/7
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1612
EP - 1615
AU - Xiuping PENG
AU - Mingshuo SHEN
AU - Hongbin LIN
AU - Shide WANG
PY - 2022
DO - 10.1587/transfun.2021EAL2105
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2022
AB - This letter provides a direct construction of binary even-length Z-complementary pairs. To date, the maximum zero correlation zone ratio of Type-I Z-complementary pairs has reached 6/7, but no direct construction of Z-complementary pairs can achieve the zero correlation zone ratio of 6/7. In this letter, based on Boolean function, we give a direct construction of binary even-length Z-complementary pairs with zero correlation zone ratio 6/7. The length of constructed Z-complementary pairs is 2^m+3 + 2^{m + 2}+2^m+1 and the width of zero correlation zone is 2^m+3 + 2^m+2.
ER -

IEICE TRANSACTIONS on Fundamentals