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Further results on differentially 4-uniform permutations over $\F_{2^{2m}}$ (1502.03874v1)
Published 13 Feb 2015 in cs.IT and math.IT
Abstract: In this paper, we present several new constructions of differentially 4-uniform permutations over $\F_{2{2m}}$ by modifying the values of the inverse function on some subsets of $\F_{2{2m}}$. The resulted differentially 4-uniform permutations have high nonlinearities and algebraic degrees, which provide more choices for the design of cryptographic substitution boxes.
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