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On the linear complexity over Fp of quaternary sequences from binary Sidel'nikov sequences

机译:关于二元Sidel'nikov序列的四元序列在Fp上的线性复杂度

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Recently, a quaternary sequence with optimal autocorrelation property is proposed by applying inverse Gray mapping to a pair of binary Sidel'nikov sequences. This quaternary sequence has even period and the maximum nontrivial autocorrelation magnitude is Rmax = 2, which is optimal and is the first quaternary sequences having Rmax = 2 for N ≡ 0 mod 4. In this paper, we present a closed-form representation of the linear complexity of the quaternary sequences over Fp for p ≥ 5.
机译:最近,通过将逆格雷映射应用于一对二进制的Sidel'nikov序列,提出了具有最佳自相关特性的四元序列。该四元序列具有偶数周期,最大非平凡自相关幅度为R max = 2,这是最佳的,并且是第一个四元序列,对于N≡0,R max = 2 mod4。在本文中,我们给出了p≥5时在F p 上的四元序列的线性复杂度的封闭形式表示。

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