Fourier transforms and bent functions on finite groups

DOI10.1007/s10623-017-0439-0zbMath1393.43003OpenAlexW2768475958MaRDI QIDQ1650816

Yun Fan, Bangteng Xu

Publication date: 13 July 2018

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

Full work available at URL: https://doi.org/10.1007/s10623-017-0439-0

zbMATH Keywords

Fourier transformsbent functionsdual basisperfect nonlinear functionsdual functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Ordinary representations and characters (20C15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (6)

A survey on \(p\)-ary and generalized bent functions ⋮ Plateaued functions on finite nonabelian groups ⋮ Characterizations and constructions of plateaued functions on 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bentness and nonlinearity of functions on finite groups
• Fourier transforms and bent functions on faithful actions of finite abelian groups
• Non abelian bent functions
• Dual bent functions on finite groups and \(C\)-algebras
• G-perfect nonlinear functions
• Generalized bent functions and their properties
• On ``bent functions
• Character theory of finite groups
• Nonlinear functions in abelian groups and relative difference sets.
• Highly nonlinear mappings
• Nonlinear functions and difference sets on group actions
• Multidimensional Fourier transforms and nonlinear functions on finite groups
• NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS
• Bent functions on a finite nonabelian group
• A new general construction for generalized bent functions
• Bent functions on a finite Abelian group
• Almost difference sets and their sequences with optimal autocorrelation
• Relative difference sets in semidirect products with an amalgamated subgroup
• Bent functions from a finite abelian group into a finite abelian group
• Generalizations of bent functions. A survey

This page was built for publication: Fourier transforms and bent functions on finite groups