A new APN function which is not equivalent to a power mapping

From MaRDI portal
Publication:3546828

DOI10.1109/TIT.2005.862128zbMath1246.11185arXivmath/0506420OpenAlexW2097345111MaRDI QIDQ3546828

Gohar M. Kyureghyan, Yves Edel, Alexander Pott

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506420



Related Items

Quasi-perfect linear codes from planar and APN functions, Crooked maps in \(\mathbb F_{2^n}\), NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS, On quadratic APN functions and dimensional dual hyperovals, Some new results on the conjecture on exceptional APN functions and absolutely irreducible polynomials: the Gold case, On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb {P}^{3}\) in characteristic 2. II, The only crooked power functions are \(x^{2^k+2^l}\), The number of almost perfect nonlinear functions grows exponentially, Differential uniformity of the composition of two functions, A infinite class of Kasami functions that are not APN infinitely often, A matrix approach for constructing quadratic APN functions, A new large class of functions not APN infinitely often, Some new techniques and progress towards the resolution of the conjecture of exceptional APN functions and absolutely irreducibility of a class of polynomials, Triplicate functions, Power functions with low uniformity on odd characteristic finite fields, The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions, On equivalence between known families of quadratic APN functions, On EA-equivalence of certain permutations to power mappings, Bounds on the degree of APN polynomials: the case of \(x^{-1} + g(x)\), Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions, Almost perfect and planar functions, More constructions of APN and differentially 4-uniform functions by concatenation, Some results concerning cryptographically significant mappings over \(\text{GF}(2^{n})\), Determining the Nonlinearity of a New Family of APN Functions, Two notions of differential equivalence on Sboxes, On the \(c\)-differential uniformity of certain maps over finite fields, A few more quadratic APN functions, Permutation polynomials EA-equivalent to the inverse function over \(\mathrm{GF}(2^n)\), Functions of degree \(4e\) that are not APN infinitely often, A character theoretic approach to planar functions, New families of quadratic almost perfect nonlinear trinomials and multinomials, Generalization of a class of APN binomials to Gold-like functions, On the conjecture on APN functions and absolute irreducibility of polynomials, On APN functions \(L_1(x^3) + L_2(x^9)\) with linear \(L_1\) and \(L_2\), New semifields, PN and APN functions, The differential spectrum of a class of power functions over finite fields, Relative difference sets, graphs and inequivalence of functions between groups, On the Walsh Spectrum of a New APN Function, Perfect nonlinear functions and cryptography, On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb{P}^3\) in characteristic \(2\), G-perfect nonlinear functions, Crooked binomials, Bundles, presemifields and nonlinear functions, On the classification of APN functions up to dimension five, A family of crooked functions, Perfect nonlinear binomials and their semifields, О приближении дискретных функций линейными функциями, Unnamed Item, Quadratic almost bent functions -- their partial characterization and design in the spectral domain, Self-embeddings of Hamming Steiner triple systems of small order and APN permutations, On known constructions of APN and AB functions and their relation to each other