Two Boolean Functions with Five-Valued Walsh Spectra and High Nonlinearity

DOI10.1142/S0129054115500306zbMath1333.94033arXiv1406.4567MaRDI QIDQ2949720

Xiwang Cao, Lei Hu

Publication date: 2 October 2015

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4567

zbMATH Keywords

Walsh spectrumfinite fieldexponential sum

Mathematics Subject Classification ID

Cryptography (94A60) Exponential sums (11T23)

Related Items (3)

Infinite families of five-valued Walsh spectrum Boolean functions ⋮ Several Classes of Quadratic Ternary Bent, Near-Bent and 2-Plateaued Functions ⋮ Constructing totally disjoint spectra plateaued functions and searching five-value spectrum functions in odd variables

Cites Work

• Binary sequences with optimal autocorrelation
• On ``bent functions
• Some results about the cross-correlation function between two maximal linear sequences
• Highly nonlinear mappings
• The weights of the orthogonals of the extended quadratic binary Goppa codes
• On Bent and Semi-Bent Quadratic Boolean Functions
• Niho type cross-correlation functions via dickson polynomials and Kloosterman sums
• Almost perfect autocorrelation sequences
• Autocorrelation values of generalized cyclotomic sequences of order two
• Further Results on $m$-Sequences With Five-Valued Cross Correlation
• Semibent Functions From Dillon and Niho Exponents, Kloosterman Sums, and Dickson Polynomials
• More Balanced Boolean Functions With Optimal Algebraic Immunity and Good Nonlinearity and Resistance to Fast Algebraic Attacks

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