Vectorial Boolean functions with the maximum number of bent components beyond the Nyberg's bound
DOI10.1007/s10623-022-01180-7OpenAlexW4321240899MaRDI QIDQ6130601
A. Bapić, Enes Pašalić, Alexander Pott, Alexandr A. Polujan
Publication date: 3 April 2024
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-022-01180-7
classificationbent functionMaiorana-McFarland classCCZ-equivalenceEA-equivalencemaximum number of bent components
Applications of design theory to circuits and networks (94C30) Boolean functions (06E30) Applications to coding theory and cryptography of arithmetic geometry (14G50) Boolean functions (94D10)
Cites Work
- The Magma algebra system. I: The user language
- On constructions and properties of \((n,m)\)-functions with maximal number of bent components
- Constructing vectorial bent functions via second-order derivatives
- Linear codes and incidence structures of bent functions and their generalizations
- Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class
- A complete characterization of \(\mathcal{D}_0 \cap\mathcal{M}^\#\) and a general framework for specifying bent functions in \(\mathcal{C}\) outside \(\mathcal{M}^\#\)
- Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \)
- Cubic bent functions outside the completed Maiorana-McFarland class
- A new method for secondary constructions of vectorial bent functions
- Further study on the maximum number of bent components of vectorial functions
- On the ranks of bent functions
- Some Theorems on Planar Mappings
- Perfect nonlinear S-boxes
- Generic Construction of Bent Functions and Bent Idempotents With Any Possible Algebraic Degrees
- On the Maximum Number of Bent Components of Vectorial Functions
- Two New Classes of Bent Functions
- On Design-Theoretic Aspects of Boolean and Vectorial Bent Function
- An Analysis of the 𝒞 Class of Bent Functions
- Analysis of (n, n)-Functions Obtained From the Maiorana-McFarland Class
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