Four Families of Binary Sequences with Low Correlation and Large Linear Complexity

Authors:
Jin-Song Wang;Wen-Feng Qi
Affiliations:
Department of Applied Mathematics, Zhengzhou Information Engineering University, Zhengzhou, P.R. China 450002;Department of Applied Mathematics, Zhengzhou Information Engineering University, Zhengzhou, P.R. China 450002
Venue:
Information Security and Cryptology
Year:
2007

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Abstract

In this paper, four new families S1, S2, S3and S4of binary sequences of period 2n茂戮驴 1 with low correlation are presented, where S1, S3are defined for odd n, and S2, S4for even n. The family S1has six-valued correlations, while S2and S3have either six-valued correlations or eight-valued correlations, and S4has either eight-valued or ten-valued, depending on the choice of parameters.