Constructing new superclasses of bent functions from known ones
From MaRDI portal
Publication:2096652
DOI10.1007/s12095-022-00566-7zbMath1501.94119OpenAlexW4220861603WikidataQ114849151 ScholiaQ114849151MaRDI QIDQ2096652
Fengrong Zhang, A. Bapić, Samir Hodžić, Enes Pašalić
Publication date: 11 November 2022
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-022-00566-7
\(\mathcal{C}\) class\(\mathcal{CD}\) class\(\mathcal{D}\) class4-bent decompositionbent dualscompleted Maiorana-McFarland class \(\mathcal{M}^{\#}\)weakly normal bent functions
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Cites Work
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- Four decades of research on bent functions
- On ``bent functions
- Codes, bent functions and permutations suitable for DES-like cryptosystems
- A general framework for secondary constructions of bent and plateaued functions
- Constructing vectorial bent functions via second-order derivatives
- Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class
- Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class
- Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \)
- Counting all bent functions in dimension eight 99270589265934370305785861242880
- Finding nonnormal bent functions
- A family of difference sets in non-cyclic groups
- Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class
- Several New Infinite Families of Bent Functions and Their Duals
- New classes of almost bent and almost perfect nonlinear polynomials
- Decomposing bent functions
- Generic Construction of Bent Functions and Bent Idempotents With Any Possible Algebraic Degrees
- Two New Classes of Bent Functions
- An Analysis of the 𝒞 Class of Bent Functions
- Generic Constructions of Five-Valued Spectra Boolean Functions
- Boolean Functions for Cryptography and Coding Theory
- Bent Functions
- Bent Functions in $$\mathcal C$$ and $$\mathcal D$$ Outside the Completed Maiorana-McFarland Class