Gowers \(U_3\) norm of some classes of bent Boolean functions

DOI10.1007/s10623-017-0383-zzbMath1417.94131OpenAlexW2735511059MaRDI QIDQ1744021

Pantelimon Stănică, Sugata Gangopadhyay, Bimal Mandal

Publication date: 16 April 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-017-0383-z

zbMATH Keywords

APN functionssecond-order nonlinearityGowers uniformity normsdifferentially \(\delta \)-uniform functionsMaiorana-McFarland bent functions

Mathematics Subject Classification ID

Related Items (6)

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 ⋮ A trigonometric sum sharp estimate and new bounds on the nonlinearity of some cryptographic Boolean functions ⋮ Gowers \(U_2\) norm as a measure of nonlinearity for Boolean functions and their generalizations ⋮ Further cryptographic properties of the multiplicative inverse function ⋮ Gowers U₃ Norm of Cubic MMF Bent-Negabent Functions Constructed by using Feistel Functions

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• AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM
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