Dimensional dual hyperovals associated with quadratic APN functions

zbMath1206.51011MaRDI QIDQ993651

Yoshiara, Satoshi

Publication date: 20 September 2010

Published in: Innovations in Incidence Geometry (Search for Journal in Brave)

zbMATH Keywords

dimensional dual hyperovalalmost perfect nonlinear (APN) function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (17)

On equations of finite fields of characteristic 2 and APN functions ⋮ Notes on APN functions, semibiplanes and dimensional dual hyperovals ⋮ On quadratic APN functions and dimensional dual hyperovals ⋮ Equivalences of power APN functions with power or quadratic APN functions ⋮ A generalization of APN functions for odd characteristic ⋮ The number of almost perfect nonlinear functions grows exponentially ⋮ On kernels and nuclei of rank metric codes ⋮ On \(d\)-dimensional Buratti-Del Fra type dual hyperovals in \(PG(3d,2)\) ⋮ Equivalences of quadratic APN functions ⋮ Dimensional Dual Hyperovals—An Updated Survey ⋮ Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions ⋮ A new construction of the \(d\)-dimensional Buratti-Del Fra dual hyperoval ⋮ More constructions of APN and differentially 4-uniform functions by concatenation ⋮ Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order ⋮ Some examples of simply connected dual hyperovals ⋮ Dimensional dual hyperovals and APN functions with translation groups ⋮ Distance regular graphs arising from dimensional dual hyperovals

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