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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
Publication Date: 2018/04/01
Online ISSN: 1745-1337
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.