Fourier transforms and bent functions on faithful actions of finite abelian groups

DOI10.1007/s10623-016-0177-8zbMath1358.43004OpenAlexW2294377770MaRDI QIDQ510409

Yun Fan, Bangteng Xu

Publication date: 17 February 2017

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

Full work available at URL: https://doi.org/10.1007/s10623-016-0177-8

zbMATH Keywords

group actionsbent functionsperfect nonlinear functions\(G\)-dual sets\(G\)-linear functionsFourier transforms on \(G\)-sets

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Representation theory of groups (20C99) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

Fourier transforms and bent functions on finite groups, Nonlinear functions and difference sets on group actions, 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, Fourier transforms on finite group actions and bent functions

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