On the 2-adic complexity of a class of binary sequences of period $4p$ with optimal autocorrelation magnitude

Minghui Yang; Lulu Zhang; Keqin Feng

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arXiv · 1904.13012

On the 2-adic complexity of a class of binary sequences of period $4p$ with optimal autocorrelation magnitude

Minghui Yang·Lulu Zhang·Keqin Feng

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Abstract

Via interleaving Ding-Helleseth-Lam sequences, a class of binary sequences of period $4p$ with optimal autocorrelation magnitude was constructed in \cite{W. Su}. Later, Fan showed that the linear complexity of this class of sequences is quite good \cite{C. Fan}. Recently, Sun et al. determined the upper and lower bounds of the 2-adic complexity of such sequences \cite{Y. Sun3}. We determine the exact value of the 2-adic complexity of this class of sequences. The results show that the 2-adic complexity of this class of binary sequences is close to the maximum.

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Minghui Yang, Lulu Zhang, Keqin Feng. 2019-04-30. On the 2-adic complexity of a class of binary sequences of period $4p$ with optimal autocorrelation magnitude. https://arxiv.org/abs/1904.13012

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