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Further results on differentially 4-uniform permutations over $$\mathbb{F}_{2^{2m}}$$. (English) Zbl 1380.94134
Summary: We present several new constructions of differentially 4-uniform permutations over $$\mathbb{F}_{2^{2m}}$$ by modifying the values of the inverse function on some subsets of $$\mathbb{F}_{2^{2m}}$$. The resulted differentially 4-uniform permutations have high nonlinearities and algebraic degrees, which provide more choices for the design of crytographic substitution boxes.

##### MSC:
 94A60 Cryptography 11T71 Algebraic coding theory; cryptography (number-theoretic aspects)
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##### References:
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