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   Vol.E101-A   No.4   pp.704-712
Publication Date: 2018/04/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.704
Type of Manuscript: PAPER
Category: Coding Theory
ideal two-level correlation,  binary sequence pair,  difference set pair,  cyclotomy,  Chinese remainder theorem,  

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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.