On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions
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Publication:2662058
DOI10.1016/j.ffa.2021.101835zbMath1473.11224arXiv2008.03953OpenAlexW3134866150MaRDI QIDQ2662058
Daniele Bartoli, Marco Calderini
Publication date: 8 April 2021
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.03953
Related Items (18)
On \((-1)\)-differential uniformity of ternary APN power functions ⋮ Survey on recent trends towards generalized differential and boomerang uniformities ⋮ Optimal selection for good polynomials of degree up to five ⋮ On the \(c\)-differential spectrum of power functions over finite fields ⋮ 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 ⋮ 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 \(\mathbb{F}_{2^n}\) ⋮ On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties ⋮ 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 ⋮ Low \(c\)-differential and \(c\)-boomerang uniformity of the swapped inverse function ⋮ 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
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