New Differentially 4-Uniform Piecewise Permutations over F22k from the Inverse Function
نویسندگان
چکیده
Permutations with low differential uniformity, high nonlinearity and algebraic degree over F22k are preferred substitution boxes in modern block ciphers. In this paper, we study the bijectivity difference uniformity of piecewise function help permutation group theory. Based on our results, We found many at least differentially 6-uniform 4-uniform permutations F22k, which can be chosen as boxes.
منابع مشابه
An Equivalent Condition on the Switching Construction of Differentially 4-uniform Permutations on F22k from the Inverse Function
Differentially 4-uniform permutations on F22k with high nonlinearity are often chosen as Substitution boxes in block ciphers. Recently, Qu et al. used the powerful switching method to construct such permutations from the inverse function [9], [10]. More precisely, they studied the functions of the form G(x) = 1 x +f( 1 x ), where f is a Boolean function. They proved that if f is a preferred Boo...
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Constructing S-boxes with low differential uniformity and high nonlinearity is of cardinal significance in cryptography. In the present paper, we show that numerous differentially 4-uniform permutations over F22k can be constructed by composing the inverse function and cycles over F22k . Two sufficient conditions are given, which ensure that the differential uniformity of the corresponding comp...
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Differentially 4-uniform permutations on F22k with high nonlinearity and algebraic degree are often used in block ciphers and some stream ciphers as Substitution boxes. Recently,Chen et al.(An equivalent condition on the switching construction of differentially 4-uniform permutations on from the inverse function, International Journal of Computer Mathematics, DOI:10.1080/00207160.2016.1167884) ...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15010131