# American Institute of Mathematical Sciences

February  2015, 9(1): 117-128. doi: 10.3934/amc.2015.9.117

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

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

Received  June 2014 Revised  August 2014 Published  February 2015

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.
Citation: Xiaohui Liu, Jinhua Wang, Dianhua Wu. Two new classes of binary sequence pairs with three-level cross-correlation. Advances in Mathematics of Communications, 2015, 9 (1) : 117-128. doi: 10.3934/amc.2015.9.117
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##### References:
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