Decomposing Generalized Bent and Hyperbent Functions

DOI10.1109/TIT.2017.2754498zbMath1390.94951arXiv1604.02830MaRDI QIDQ4566609

Sihem Mesnager, Thor Martinsen, Pantelimon Stănică, Wilfried Meidl

Publication date: 27 June 2018

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02830

Mathematics Subject Classification ID

Related Items (12)

Walsh-Hadamard transforms of generalized \(p\)-ary functions and \(C\)-finite sequences ⋮ A survey on \(p\)-ary and generalized bent functions ⋮ Multiple characters transforms and generalized Boolean functions ⋮ Generalized bent Boolean functions and strongly regular Cayley graphs ⋮ Möbius transformations and characterizations of hyper-bent functions from Dillon-like exponents with coefficients in extension fields ⋮ Construction methods for generalized bent functions ⋮ On generalized hyper-bent functions ⋮ Gowers \(U_2\) norm as a measure of nonlinearity for Boolean functions and their generalizations ⋮ Connections between quaternary and Boolean bent functions ⋮ Root-Hadamard transforms and complementary sequences ⋮ \(C\)-differential bent functions and perfect nonlinearity ⋮ New nonexistence results on \((m, n)\)-generalized bent functions

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