Constructions of Bent—Negabent Functions and Their Relation to the Completed Maiorana—McFarland Class

DOI10.1109/TIT.2015.2393879zbMath1359.94939OpenAlexW1998858124MaRDI QIDQ2978754

Fengrong Zhang, Yongzhuang Wei, Enes Pašalić

Publication date: 28 April 2017

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

Full work available at URL: https://doi.org/10.1109/tit.2015.2393879

Mathematics Subject Classification ID

Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

Related Items (13)

EA-inequivalence of bent functions ⋮ Bent and bent\(_4\) spectra of Boolean functions over finite fields ⋮ On the existence and non-existence of some classes of bent-negabent functions ⋮ Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class ⋮ On negabent functions and nega-Hadamard transform ⋮ Modified planar functions and their components ⋮ Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \) ⋮ Several secondary methods for constructing bent-negabent functions ⋮ New secondary constructions of bent functions ⋮ A general framework for secondary constructions of bent and plateaued functions ⋮ The connection between quadratic bent-negabent functions and the Kerdock code ⋮ On Boolean functions with several flat spectra ⋮ Two secondary constructions of bent functions without initial conditions

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