New Sequence Sets with Zero-Correlation Zone

A method for constructing sets of sequences with zero-correlation zone (ZCZ sequences) and sequence sets with low cross correlation is proposed. The method is to use families of short sequences and complete orthogonal sequence sets to derive families of long sequences with desired correlation properties. It is a unification of works of Matsufuji and Torii et al., and there are more choices of parameters of sets for our method. In particular, ZCZ sequence sets generated by the method can achieve a related ZCZ bound. Furthermore, the proposed method can be utilized to derive new ZCZ sets with both longer ZCZ and larger set size from known ZCZ sets. These sequence sets are applicable in broadband satellite IP networks. Index Terms zero-correlation zone (ZCZ), low correlation, perfect sequence, orthogonal sequence, broadband satellite IP networks. L. Hu’s work is supported in part by the National Science Foundation of China (NSFC) under Grants No.60373041 and No.90104034. Q. Liu’s work is supported in part by NSF under grant CNS-0435341. X. Zeng is with the Faculty of Mathematics and Computer Science, Hubei University, 11 Xueyuan Road, Wuhan 430062, P. R. China, email: [email protected]. L. Hu is with the Graduate School of Chinese Academy of Sciences, 19A Yuquan Road, Beijing 100049, P. R. China. Q. Liu is with Department of Electrical and System Engineering, Oakland University, Rochester, MI 48309, USA. February 1, 2008 DRAFT