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arXiv · 1502.03874

Further results on differentially 4-uniform permutations over $\F_{2^{2m}}$

Zhengbang Zha·Lei Hu·Siwei Sun·Jinyong Shan
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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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Zhengbang Zha, Lei Hu, Siwei Sun, Jinyong Shan. 2015-02-13. Further results on differentially 4-uniform permutations over $\F_{2^{2m}}$. https://doi.org/10.1007/s11425-015-4996-2

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