In this paper we study a new construction of differentially 4-uniform permutations from known ones and the inverse function. We focus on constructing methods of [20]. We split a finite field into its subfield and remainder, and, we choose known differentially 4-uniform permutations over the subfield and the inverse function over the entire field. As a result, we obtain two families of differentially 4-uniform permutations.

中文翻译：

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根据已知的构造新的差分4一致置换

在本文中，我们研究了一种新的构造，该构造由已知的4个一致置换和反函数构成。我们专注于[20]的构造方法。我们将有限域划分为其子域和余数，然后在子域上选择已知的差分4均匀置换，并在整个域上选择反函数。结果，我们获得了两个差分4均匀排列族。