New Construction Methods for Binary Sequence Pairs of Period pq with Ideal Two-Level Correlation

Xiumin Shen, Yanguo Jia, Xiaofei Song, Yubo Li · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2018

In this paper, a new generalized cyclotomy over Zpq is presented based on cyclotomy and Chinese remainder theorem, where p and q are different odd primes. Several new construction methods for binary sequence pairs of period pq with ideal two-level correlation are given by utilizing these generalized cyclotomic classes. All the binary sequence pairs from our constructions have both ideal out-of-phase correlation values -1 and optimum balance property.

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