G-perfect nonlinear functions

DOI10.1007/s10623-007-9137-7zbMath1179.94060OpenAlexW2014378754MaRDI QIDQ1008966

James A. Davis, Laurent Poinsot

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9137-7

zbMATH Keywords

differential attacksperfect nonlinear functionsDES-like cryptosystemsrobust cryptosystems

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (9)

On automorphism groups of divisible designs acting regularly on the set of point classes ⋮ Fourier transforms and bent functions on finite groups ⋮ Nonlinear functions and difference sets on group actions ⋮ Plateaued functions on finite nonabelian groups ⋮ Construction of \(\varepsilon_d\)-ASIC-POVMs via 2-to-1 PN functions and the Li bound ⋮ Characterizations and constructions of plateaued functions on finite abelian groups ⋮ A new characterization of group action-based perfect nonlinearity ⋮ A new framework for identifying absolute maximum nonlinear functions ⋮ Fourier transforms on finite group actions and bent functions

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