C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity
From MaRDI portal
Publication:5124541
DOI10.1109/TIT.2020.2971988zbMath1448.94309arXiv1909.03628OpenAlexW3004692333MaRDI QIDQ5124541
Pål G. Ellingsen, Patrick Felke, Pantelimon Stănică, Anton Tkachenko, Constanza Riera
Publication date: 29 September 2020
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03628
Related Items (28)
Characters, Weil sums and \(c\)-differential uniformity with an application to the perturbed Gold function ⋮ On the behavior of some APN permutations under swapping points ⋮ On \((-1)\)-differential uniformity of ternary APN power functions ⋮ On two conjectures about the intersection distribution ⋮ Survey on recent trends towards generalized differential and boomerang uniformities ⋮ On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions ⋮ On the \(c\)-differential spectrum of power functions over finite fields ⋮ Polynomials with maximal differential uniformity and the exceptional APN conjecture ⋮ Investigations of \(c\)-differential uniformity of permutations with Carlitz rank 3 ⋮ P℘N functions, complete mappings and quasigroup difference sets ⋮ Low \(c\)-differential uniformity of the swapped inverse function in odd characteristic ⋮ A note on the \(c\)-differential spectrum of an AP\(c\)N function ⋮ Using double Weil sums in finding the \(c\)-boomerang connectivity table for monomial functions on finite fields ⋮ Boomerang uniformity of some classes of functions over finite fields ⋮ On non-monomial APcN permutations over finite fields of even characteristic ⋮ The \(c\)-differential uniformity and boomerang uniformity of three classes of permutation polynomials over \(\mathbb{F}_{2^n}\) ⋮ Differential experiments using parallel alternative operations ⋮ On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties ⋮ On the \(c\)-differential uniformity of certain maps over finite fields ⋮ Investigations on \(c\)-boomerang uniformity and perfect nonlinearity ⋮ New P\(c\)N and AP\(c\)N functions over finite fields ⋮ Some classes of power functions with low \(c\)-differential uniformity over finite fields ⋮ The \(c\)-differential behavior of the inverse function under the \textit{EA}-equivalence ⋮ Low \(c\)-differential and \(c\)-boomerang uniformity of the swapped inverse function ⋮ \(C\)-differential bent functions and perfect nonlinearity ⋮ Several classes of PcN power functions over finite fields ⋮ Low \(c\)-differential uniformity for functions modified on subfields ⋮ The binary Gold function and its \(c\)-boomerang connectivity table
This page was built for publication: C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity
