Quadratic bent functions and their duals

DOI10.1007/S00200-022-00564-5zbMATH Open1545.94101MaRDI QIDQ6568916

Duy Ho, Rongquan Feng, Kanat Abdukhalikov

Publication date: 8 July 2024

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

zbMATH Keywords

bent functionsduals of bent functionsquadratic bent functions

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Cryptography (94A60) Combinatorial structures in finite projective spaces (51E20) Boolean functions (94D10)

Cites Work

• Four decades of research on bent functions
• Monomial bent functions and Stickelberger's theorem
• On ``bent functions
• Vectorial bent functions and their duals
• Solving \(X^{q+1}+X+a=0\) over finite fields
• Equivalence classes of Niho bent functions
• New quadratic bent functions in polynomial forms with coefficients in extension fields
• Bent functions and line ovals
• Hyperovals and bent functions
• Monomial bent functions
• Constructions of quadratic bent functions in polynomial forms
• On Quadratic Bent Functions in Polynomial Forms
• Perfect nonlinear S-boxes
• Classification of Bent Monomials, Constructions of Bent Multinomials and Upper Bounds on the Nonlinearity of Vectorial Functions
• Bent Functions
• On the solution of algebraic equations over finite fields
• Introduction to coding theory

This page was built for publication: Quadratic bent functions and their duals

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6568916)