On Optimal Construction of Two Classes of ZCZ Codes

Takafumi HAYASHI  Shinya MATSUFUJI  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A    No.9    pp.2345-2350
Publication Date: 2006/09/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.9.2345
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Sequence Design and its Application in Communications)
Category: 
Keyword: 
sequence design,  spreading sequence,  CDMA communication,  zero correlation zone,  

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Summary: 
This paper presents constructions of two kinds of sets of sequences with a zero correlation zone, called ZCZ code, which can reach the upper bound of the member size of the sequence set. One is a ZCZ code which can be constructed by a unitary matrix and a perfect sequence. Especially, a ternary perfect sequence with elements 1 and zero can be used to construct the proposed ZCZ code. The other is a ZCZ code of pairs of ternary sequences and binary sequences which can be constructed by an orthogonal matrix that includes a Hadamard matrix and an orthogonal sequence pair. As a special case, an orthogonal sequence pair, which consists of a ternary sequence and a binary sequence, can be used to construct the proposed ZCZ code. These codes can provide CDMA systems without co-channel interference.