Constructions of Binary Sequence Pairs of Length 5q with Optimal Three-Level Correlation

Xiumin SHEN; Xiaofei SONG; Yanguo JIA; Yubo LI

doi:10.1587/transfun.2021EAL2006

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Constructions of Binary Sequence Pairs of Length 5q with Optimal Three-Level Correlation

Xiumin SHEN, Xiaofei SONG, Yanguo JIA, Yubo LI

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Keywords: binary sequence pairs, almost difference set pairs, optimal correlation, cyclotomy, Chinese remainder theorem

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2021 Volume E104.A Issue 10 Pages 1435-1439

DOI https://doi.org/10.1587/transfun.2021EAL2006

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Abstract

Binary sequence pairs with optimal periodic correlation have important applications in many fields of communication systems. In this letter, four new families of binary sequence pairs are presented based on the generalized cyclotomy over Z_5q, where q ≠ 5 is an odd prime. All these binary sequence pairs have optimal three-level correlation values {-1, 3}.

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