We study the differential uniformity of a class of permutations over F_(2n) with n even. These permutations are different from the inverse function as the values x–1 are modified to be (γx)~(–1) on some cosets of a fixed subgroup of F_(2n)~*. We obtain some sufficient conditions for this kind of permutations to be differentially 4-uniform, which enable us to construct a new family of differentially 4-uniform permutations that contains many new Carlet-Charpin-Zinoviev equivalent (CCZ-equivalent) classes as checked by Magma for small numbers n...
