Differentially 6-uniform permutations by modifying the Gold function

Substitution boxes are used in many iterate block ciphers for the confusion part of round functions. In this paper, we present some constructions of differentially 6-uniform permutations over F₂2m by modifying the image values of the Gold function. The resulted differentially 6-uniform permutations have high nonlinearities and algebraic degrees simultaneously, which provide more choices for the Substitution boxes.