A New Family of Hyper-Bent Boolean Functions in Polynomial Form

DOI10.1007/978-3-642-10868-6_24zbMath1234.94024OpenAlexW117892210MaRDI QIDQ3654631

Sihem Mesnager

Publication date: 7 January 2010

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

Full work available at URL: https://doi.org/10.1007/978-3-642-10868-6_24

zbMATH Keywords

bent functionsKloosterman sumsBoolean functionmaximum nonlinearitycubic sumsWalsh-Hadamard transformationhyper-bent functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Gauss and Kloosterman sums; generalizations (11L05) Boolean functions (06E30)

Related Items (11)

Further constructions of infinite families of bent functions from new permutations and their duals ⋮ On classical Kloosterman sums ⋮ 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 ⋮ Binary Kloosterman Sums with Value 4 ⋮ A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions

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