The autocorrelation of a sequence is a useful criterion, among all, of resistance to cryptographic attacks. The behavior of the autocorrelations of random Boolean functions (studied by Rodier et al., (Crypt. Commun. 15, 995–1009, 2023) shows that they are concentrated around a point. We show that the same is true for the evaluation of the periodic autocorrelations of random binary sequences.

中文翻译：

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序列的周期性自相关

其中，序列的自相关性是抵抗密码攻击的一个有用标准。随机布尔函数的自相关行为（由 Rodier 等人研究，(Crypt. Commun. 15 , 995–1009, 2023）表明它们集中在一个点周围。我们表明，对于随机二进制序列的周期性自相关。