Further constructions of infinite families of bent functions from new permutations and their duals

DOI10.1007/S12095-015-0144-7zbMath1338.94119OpenAlexW2183904723MaRDI QIDQ269566

Sihem Mesnager

Publication date: 19 April 2016

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-015-0144-7

zbMATH Keywords

permutationsBoolean functionsbent functionslinear structuresWalsh Hadamard transform

Mathematics Subject Classification ID

Boolean functions (06E30)

Related Items (12)

More permutations and involutions for constructing bent functions ⋮ On Existence (Based on an Arithmetical Problem) and Constructions of Bent Functions ⋮ Bent and Semi-bent Functions via Linear Translators ⋮ Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class ⋮ Several new classes of self-dual bent functions derived from involutions ⋮ Frobenius linear translators giving rise to new infinite classes of permutations and bent functions ⋮ Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \) ⋮ Four decades of research on bent functions ⋮ A further study on the construction methods of bent functions and self-dual bent functions based on Rothaus's bent function ⋮ A general framework for secondary constructions of bent and plateaued functions ⋮ New Bent Functions from Permutations and Linear Translators ⋮ Two secondary constructions of bent functions without initial conditions

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