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Two Constructions of Binary Z-Complementary Pairs

Shucong TIAN, Meng YANG, Jianpeng WANG

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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

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