NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS

DOI10.1142/S0129054111008751zbMath1236.94064OpenAlexW1553403590MaRDI QIDQ3173475

Laurent Poinsot, Alexander Pott

Publication date: 10 October 2011

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129054111008751

zbMATH Keywords

bent functionalmost perfect nonlinearmaximal nonlinear

Mathematics Subject Classification ID

Combinatorics in computer science (68R05) Boolean functions (94D10)

Related Items (13)

A survey on \(p\)-ary and generalized bent functions ⋮ Fourier transforms and bent functions on finite groups ⋮ Nonlinear functions and difference sets on group actions ⋮ A new large class of functions not APN infinitely often ⋮ Dual bent functions on finite groups and \(C\)-algebras ⋮ Plateaued functions on finite nonabelian groups ⋮ Characterizations and constructions of plateaued functions on finite abelian groups ⋮ Multidimensional Fourier transforms and nonlinear functions on finite groups ⋮ Bentness and nonlinearity of functions on finite groups ⋮ Fourier transforms and bent functions on faithful actions of finite abelian groups ⋮ A new framework for identifying absolute maximum nonlinear functions ⋮ Worst-case approximability of functions on finite groups by endomorphisms and affine maps ⋮ Fourier transforms on finite group actions and bent functions

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