Equivalences of power APN functions with power or quadratic APN functions

DOI10.1007/s10801-016-0680-zzbMath1370.05221OpenAlexW2320102721MaRDI QIDQ345143

Yoshiara, Satoshi

Publication date: 25 November 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-016-0680-z

zbMATH Keywords

almost perfect nonlinear (APN) functioncarlet-charpin-zinoviev (CCZ) equivalencedimensional dual hyperoval (DHO)extended affine (EA) equivalencepower APN functionquadratic APN function

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Equations in general fields (12E12) Polynomials over finite fields (11T06) Combinatorial structures in finite projective spaces (51E20) Group actions on combinatorial structures (05E18)

Related Items (13)

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 ⋮ On equivalence between known polynomial APN functions and power APN functions ⋮ Equivalences among plateaued APN functions ⋮ On relations between CCZ- and EA-equivalences ⋮ CCZ equivalence of power functions ⋮ On the equivalence between a new family of APN quadrinomials and the power APN functions ⋮ On equivalence between known families of quadratic APN functions ⋮ Extending two families of bivariate APN functions ⋮ On APN functions \(L_1(x^3) + L_2(x^9)\) with linear \(L_1\) and \(L_2\) ⋮ On the EA-classes of known APN functions in small dimensions ⋮ A lower bound on the number of inequivalent APN functions ⋮ An exponential bound on the number of non-isotopic commutative semifields

Cites Work

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