Investigations on c-(Almost) Perfect Nonlinear Functions
From MaRDI portal
Publication:5032546
DOI10.1109/TIT.2021.3081348zbMath1487.94133arXiv2010.10023MaRDI QIDQ5032546
Pantelimon Stănică, Constanza Riera, Haode Yan, Sihem Mesnager, Zhengchun Zhou
Publication date: 17 February 2022
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.10023
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (94D10)
Related Items
On \((-1)\)-differential uniformity of ternary APN power functions ⋮ 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 ⋮ 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 ⋮ 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 ⋮ 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