Two new classes of binary sequence pairs with three-level cross-correlation

Xiaohui Liu; Jinhua Wang; Dianhua Wu

doi:10.3934/amc.2015.9.117

Article Contents

2015, Volume 9, Issue 1: 117-128. Doi: 10.3934/amc.2015.9.117

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Two new classes of binary sequence pairs with three-level cross-correlation

1.
School of Sciences, Nantong University, Nantong, Jiangsu 226007
2.
Department of Mathematics, Guangxi Normal University, Guilin, Guangxi 541004

Received: May 31, 2014

Revised: July 31, 2014

Published: January 2015

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Abstract

A pair of binary sequences is generalized from the concept of a two-level autocorrelation function of single binary sequence. In this paper, we describe two classes of binary sequence pairs of period $N=2q$, where $q=4f+1$ is an odd prime and $f$ is an even integer. Those classes of binary sequence pairs are based on cyclic almost difference set pairs. They have optimal three-level cross-correlation, and either balanced or almost balanced.

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Mathematics Subject Classification: Primary: 05B10; Secondary: 94A55.

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