Results on bent functions

DOI10.1006/jcta.1997.2804zbMath0896.05011OpenAlexW2036675812MaRDI QIDQ1374185

Philippe Langevin, Xiang-Dong Hou

Publication date: 2 December 1997

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b5a5537bfd4d4925e8c13c76b9306aa80bdf64ee

zbMATH Keywords

characterizationbent functionsdifference setsconstruction

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Other types of codes (94B60)

Related Items (23)

The research on the properties of Fourier matrix and bent function ⋮ Hyper-bent functions and cyclic codes ⋮ Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class ⋮ A construction of bent functions of \(n+2\) variables from a bent function of \(n\) variables and its cyclic shifts ⋮ Further investigations on permutation based constructions of bent functions ⋮ Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \) ⋮ Rings and constructions of partial difference sets ⋮ Counting all bent functions in dimension eight 99270589265934370305785861242880 ⋮ On the construction of new bent functions from the max-weight and min-weight functions of old bent functions ⋮ Four decades of research on bent functions ⋮ A note on vectorial bent functions ⋮ A construction of hyperbent functions with polynomial trace form ⋮ Bent functions from nonlinear permutations and conversely ⋮ On the ranks of bent functions ⋮ A general framework for secondary constructions of bent and plateaued functions ⋮ Piecewise constructions of bent and almost optimal Boolean functions ⋮ A novel algorithm enumerating bent functions ⋮ The ranks of Maiorana-McFarland bent functions ⋮ \(q\)-ary bent functions constructed from chain rings ⋮ Highly nonlinear mappings ⋮ Unnamed Item ⋮ Cubic bent functions ⋮ Two secondary constructions of bent functions without initial conditions

Cites Work

• Generalized bent functions and their properties
• On ``bent functions
• Cubic bent functions
• Partially-bent functions
• A characterization of binary bent functions
• Generalized partial spreads
• Two New Classes of Bent Functions
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• Unnamed Item
• Unnamed Item
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• Unnamed Item

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