On some quadratic APN functions
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Publication:2324780
DOI10.1007/s10623-018-00598-2zbMath1419.11138OpenAlexW2907090938WikidataQ128688560 ScholiaQ128688560MaRDI QIDQ2324780
Publication date: 12 September 2019
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-018-00598-2
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Boolean functions (06E30) Semifields (12K10)
Related Items (21)
On CCZ-inequivalence of some families of almost perfect nonlinear functions to permutations ⋮ Trims and extensions of quadratic APN functions ⋮ 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 ⋮ The number of almost perfect nonlinear functions grows exponentially ⋮ On equivalence between known polynomial APN functions and power APN functions ⋮ On the infiniteness of a family of APN functions ⋮ On the exceptionality of rational APN functions ⋮ Differential spectrum of a class of APN power functions ⋮ Counting the number of non-isotopic Taniguchi semifields ⋮ The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions ⋮ On the equivalence between a new family of APN quadrinomials and the power APN functions ⋮ Roots of certain polynomials over finite fields ⋮ On equivalence between known families of quadratic APN functions ⋮ Note on Budaghyan and Carlet's almost perfect nonlinear functions ⋮ Extending two families of bivariate APN functions ⋮ Classification of quadratic APN functions with coefficients in \(\mathbb{F}_2\) for dimensions up to 9 ⋮ Determining the Walsh spectra of Taniguchi's and related APN-functions ⋮ A lower bound on the number of inequivalent APN functions ⋮ Constructing more quadratic APN functions with the QAM method ⋮ On known constructions of APN and AB functions and their relation to each other
Uses Software
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