Menyachikhin A V

Publications in Math-Net.Ru

1. Bounds on the differential characteristic of piecewise-affine permutations over the field $\mathbb{F}_q$
   
   Diskr. Mat., 37:2 (2025),  51–65
2. The differential uniformity of piecewise-linear substitutions over the field $\mathbb{F}_{2^{n}}$
   
   Diskr. Mat., 35:4 (2023),  58–68
3. On linear equivalence of piecewise-linear permutations of the field $\mathbb{F}_{2^{n}}$
   
   Diskr. Mat., 35:3 (2023),  37–44
4. Adapted spectral-differential method for construction of differentially 4-uniform piecewise-linear permutations, orthomorphisms, and involutions of the field $\mathbb{F}_{2^{n}}$
   
   Diskr. Mat., 35:2 (2023),  42–77
5. The change in linear and differential characteristics of substitution after the multiplication by transposition
   
   Mat. Vopr. Kriptogr., 11:2 (2020),  111–123
6. The limited deficit method and the problem of constructing orthomorphisms and almost orthomorphisms of Abelian groups
   
   Diskr. Mat., 31:3 (2019),  58–77
7. Orthomorphisms of Abelian groups with minimum possible pairwise distances
   
   Diskr. Mat., 30:4 (2018),  55–65
8. Spectral-linear and spectral-differential methods for generating S-boxes having almost optimal cryptographic parameters
   
   Mat. Vopr. Kriptogr., 8:2 (2017),  97–116