Hyper-bent Boolean Functions with Multiple Trace Terms

DOI10.1007/978-3-642-13797-6_8zbMath1232.94016OpenAlexW1532905452MaRDI QIDQ3578468

Sihem Mesnager

Publication date: 20 July 2010

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-13797-6_8

zbMATH Keywords

bent functionsKloosterman sumsBoolean functionmaximum nonlinearitycubic sumsDickson polynomialsWalsh-Hadamard transformationhyper-bent functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (8)

Further constructions of infinite families of bent functions from new permutations and their duals ⋮ On Existence (Based on an Arithmetical Problem) and Constructions of Bent Functions ⋮ Two infinite classes of rotation symmetric bent functions with simple representation ⋮ Constructing Hyper-Bent Functions from Boolean Functions with the Walsh Spectrum Taking the Same Value Twice ⋮ Möbius transformations and characterizations of hyper-bent functions from Dillon-like exponents with coefficients in extension fields ⋮ On generalized hyper-bent functions ⋮ Four decades of research on bent functions ⋮ A class of hyper-bent functions and Kloosterman sums

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