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July 15, 2026
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О способе построения дифференциально 2δ-равномерных подстановок на F_{2^{2m}}

Прикладная дискретная математика. Приложение. 2021. № 14. С. 51–55.
Fomin D.

The paper studies new ways of con- structing differentially 2δ-uniform bijections over F_{2^{2m}} , m≥3, that are based on TU-construction. Some well known results on the constructing differentially 4-uniform permutations over F_{2^{2m}} are generalized in this work. The core idea is to use TU-construction and differentially δ-uniform bijections to construct 2^t · δ-uniform permutations. A generalized method for constructing 2m-bit differentially 4-uniform permutations is proposed, and new constructions of differentialy 6 and 8-uniform permutations are introduced.

Research target: Mathematics
Language: Russian
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Keywords: permutationподстановкаdifferential uniformityдифференциальная равномерностьS-boxTU-constructionTU-представление
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