Bent functions on a finite nonabelian group

DOI10.1080/09720529.2006.10698084zbMath1105.43002OpenAlexW2332014887MaRDI QIDQ3410911

Laurent Poinsot

Publication date: 16 November 2006

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2006.10698084

Mathematics Subject Classification ID

Cryptography (94A60) Other transforms and operators of Fourier type (43A32) Other special functions (33E99)

Related Items (max. 100)

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 ⋮ Nonexistence of two classes of generalized bent functions ⋮ 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

Cites Work

• Unnamed Item
• Differential cryptanalysis of DES-like cryptosystems
• On ``bent functions
• A construction of difference sets in high exponent 2-groups using representation theory
• Nonlinear functions in abelian groups and relative difference sets.
• Highly nonlinear mappings
• Bent functions on a finite Abelian group

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