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A new characterization of group action-based perfect nonlinearity

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Publication:1026147
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DOI10.1016/j.dam.2009.02.001zbMath1166.94007OpenAlexW2025619411MaRDI QIDQ1026147

Laurent Poinsot

Publication date: 24 June 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2009.02.001

zbMATH Keywords

group actionsfinite Abelian groupsBent functionsperfect nonlinearity\(G\)-perfect nonlinearityHermitian spaces


Mathematics Subject Classification ID

Cryptography (94A60)


Related Items

Nonlinear functions and difference sets on group actions, Plateaued functions on finite nonabelian groups, Characterizations and constructions of plateaued functions on finite abelian groups, Non abelian bent functions, Fourier transforms and bent functions on faithful actions of finite abelian groups, Fourier transforms on finite group actions and bent functions



Cites Work

  • Unnamed Item
  • Differential cryptanalysis of DES-like cryptosystems
  • G-perfect nonlinear functions
  • On ``bent functions
  • Nonlinear functions in abelian groups and relative difference sets.
  • Highly nonlinear mappings
  • Perfect nonlinear S-boxes
  • Bent functions on a finite Abelian group
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