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arXiv · 2002.00375

Autocorrelation of a class of quaternary sequences of period $2p^m$

Qiuyan Wang·Weigang Kong·Yang Yan·Chenhuang Wu·Minghui Yang
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Abstract

Sequences with good randomness properties are quite important for stream ciphers. In this paper, a new class of quaternary sequences is constructed by using generalized cyclotomic classes of $\mathbb{Z}_{2p^m}$ $(m\geq1)$. The exact values of autocorrelation of these sequences are determined based on cyclotomic numbers of order $2$ with respect to $p^m$. Results show that the presented sequences have the autocorrelations with at most $4$ values.

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Qiuyan Wang, Weigang Kong, Yang Yan, Chenhuang Wu, Minghui Yang. 2020-02-02. Autocorrelation of a class of quaternary sequences of period $2p^m$. https://arxiv.org/abs/2002.00375

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