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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.(More)
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 permutations with low differential uniformity from the inverse function [10], [11] and proposed a sufficient but not necessary condition for these permutations to be(More)
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