Research On The Constructions Of Several Classes Of Sequence Based On Interleaving Techniques

By using the interleaving techniques, this thesis presents new constructions of ZCZ sequence pair set, ZCZ arrary pair set and FHS set with good correlation properties:Firstly, based on the ZCZ sequence pair set and the orthogonal matrix, a new method of constructing ZCZ sequence pair set is proposed by using interleaving techniques. The obtained ZCZ sequence pair sets not only have larger size, but also have larger zero correlation zones.Secondly, by using new construction of ZCZ array pair set is proposed with interleaving techniques. Compared with the known results, the obtained ZCZ ar-ray pair set include more array pairs. For computing the size of zero correlation zone, the difference matrix of shift sequence set is introduced. Furthermore, more constructions of shift sequences are presented.Thirdly, we investigate the construction of FHS set based on the power-residue sequence and interleaving techniques. And the FHS set is proved to be optimal with respect to the Peng-Fan bound.