A Generic Construction of Mutually Orthogonal Optimal Binary ZCZ Sequence Sets

Yubo LI  Shuonan LI  Hongqian XUAN  Xiuping PENG  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A   No.12   pp.2217-2220
Publication Date: 2018/12/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.2217
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Sequence
Keyword: 
quasi-synchronous code division multiple access (QS-CDMA),  mutually orthogonal,  zero correlation zone (ZCZ),  orthogonal matrices,  

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Summary: 
In this letter, a generic method to construct mutually orthogonal binary zero correlation zone (ZCZ) sequence sets from mutually orthogonal complementary sequence sets (MOCSSs) with certain properties is presented at first. Then MOCSSs satisfying conditions are generated from binary orthogonal matrices with order N×N, where N=p-1, p is a prime. As a result, mutually orthogonal binary ZCZ sequence sets with parameters (2N2,N,N+1)-ZCZ can be obtained, the number of ZCZ sets is N. Note that each single ZCZ sequence set is optimal with respect to the theoretical bound.