Gowers \(U_2\) norm as a measure of nonlinearity for Boolean functions and their generalizations
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Publication:2025362
DOI10.3934/AMC.2020056zbMath1466.94076OpenAlexW3000019407MaRDI QIDQ2025362
Pantelimon Stănică, Sugata Gangopadhyay, Constanza Riera
Publication date: 12 May 2021
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2020056
Boolean functionsbent functionsgeneralized Boolean functionsGowers norms\(\mathbb{Z}\)-bent functions
Related Items (3)
Computational results on Gowers \(U_2\) and \(U_3\) norms of known S-boxes ⋮ On the Gowers \(U_2\) and \(U_3\) norms of Boolean functions and their restriction to hyperplanes ⋮ Results on the Gowers U2 Norm of Generalized Boolean Functions
Cites Work
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- Bent and generalized bent Boolean functions
- A note on non-splitting \(\mathbb Z\)-bent functions
- Generalized bent functions -- some general construction methods and related necessary and sufficient conditions
- Four decades of research on bent functions
- Bent functions embedded into the recursive framework of \(\mathbb{Z}\)-bent functions
- Generalized bent functions and their properties
- On ``bent functions
- On symmetry and differential properties of generalized Boolean functions
- Gowers \(U_3\) norm of some classes of bent Boolean functions
- Partial spread and vectorial generalized bent functions
- On Weak and Strong -Bent Boolean Functions
- Boolean Functions Satisfying Higher Order Propagation Criteria
- Decomposing Generalized Bent and Hyperbent Functions
- Full Characterization of Generalized Bent Functions as (Semi)-Bent Spaces, Their Dual, and the Gray Image
- Further Results on Generalized Bent Functions and Their Complete Characterization
- Quaternary Constant-Amplitude Codes for Multicode CDMA
- Construction and Analysis of Cryptographic Functions
- Generalized Bent Functions and Their Gray Images
- Bent Functions
- Complete Characterization of Generalized Bent and 2k-Bent Boolean Functions
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