Abstract
In this paper, we study the differential uniformity of the composition of two functions with the help of Boolean matrix theory. Based on the result of our research, we can construct new differentially 4-uniform permutations from known ones. In addition, we find some clues about the existence of APN permutations of \(\mathbb {F}_{2^{n}}\) for even n ≥ 8.
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We gratefully acknowledge the anonymous reviewers who read drafts and made many helpful suggestions.
Funding
This work was supported by the Natural Science Foundation of China under Grant U1603116 and Grant 61701020.
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Shuai, L., Wang, L., Miao, L. et al. Differential uniformity of the composition of two functions. Cryptogr. Commun. 12, 205–220 (2020). https://doi.org/10.1007/s12095-019-00382-6
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DOI: https://doi.org/10.1007/s12095-019-00382-6