Characterizations of the Differential Uniformity of Vectorial Functions by the Walsh Transform
From MaRDI portal
Publication:4682926
DOI10.1109/TIT.2017.2761392zbMath1401.94261OpenAlexW2761574822MaRDI QIDQ4682926
Publication date: 19 September 2018
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tit.2017.2761392
Related Items
Trims and extensions of quadratic APN functions ⋮ Survey on recent trends towards generalized differential and boomerang uniformities ⋮ Using double Weil sums in finding the \(c\)-boomerang connectivity table for monomial functions on finite fields ⋮ On APN exponents, characterizations of differentially uniform functions by the Walsh transform, and related cyclic-difference-set-like structures ⋮ New links between nonlinearity and differential uniformity ⋮ Low differentially uniform permutations from the Dobbertin APN function over \(\mathbb{F}_{2^n} \) ⋮ Investigations on \(c\)-boomerang uniformity and perfect nonlinearity ⋮ Determining the Walsh spectra of Taniguchi's and related APN-functions ⋮ On the differential properties of the power mapping \(x^{p^m + 2}\) ⋮ Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the Gold, and the Bracken-Leander S-boxes ⋮ On those multiplicative subgroups of \({\mathbb F}_{2^n}^\ast\) which are Sidon sets and/or sum-free sets