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

This article has now been updated. Please use the final version.

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

JOURNAL RESTRICTED ACCESS Advance online publication

Article ID: 2021EAL2006

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

The final version of this article is now available: Vol. E104.A (2021), No. 10 pp. 1435-1439

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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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