A New Family of APN Quadrinomials

DOI10.1109/TIT.2020.3007513zbMath1453.94170OpenAlexW3038797792MaRDI QIDQ5138878

Nikolay Kaleyski, Tor Helleseth, Lilya Budaghyan

Publication date: 4 December 2020

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

Full work available at URL: https://doi.org/10.1109/tit.2020.3007513

zbMATH Keywords

almost perfect nonlinear (APN) functioninfinite family of APN quadrinomials

Mathematics Subject Classification ID

Boolean functions (94D10)

Related Items (13)

On CCZ-inequivalence of some families of almost perfect nonlinear functions to permutations ⋮ Invariants for EA- and CCZ-equivalence of APN and AB functions ⋮ On equivalence between two known families of APN polynomial functions and APN power functions ⋮ Triplicate functions ⋮ Differential spectrum of a class of APN power functions ⋮ A new class of generalized almost perfect nonlinear monomial functions ⋮ More classes of permutation hexanomials and pentanomials over finite fields with even characteristic ⋮ The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions ⋮ Decomposition of Dillon's APN permutation with efficient hardware implementation ⋮ Note on Budaghyan and Carlet's almost perfect nonlinear functions ⋮ Extending two families of bivariate APN functions ⋮ Generalization of a class of APN binomials to Gold-like functions ⋮ On known constructions of APN and AB functions and their relation to each other

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