Several classes of Boolean functions with few Walsh transform values

DOI10.1007/s00200-016-0298-3zbMath1427.94084arXiv1506.04886OpenAlexW637485159MaRDI QIDQ2358422

Guangkui Xu, Shanding Xu, Xiwang Cao

Publication date: 14 June 2017

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04886

zbMATH Keywords

Boolean functionWalsh transformbent functionsemi-bent functionfive-valued function

Mathematics Subject Classification ID

Boolean functions (06E30) Boolean functions (94D10)

Related Items (9)

Several new classes of (balanced) Boolean functions with few Walsh transform values ⋮ Infinite families of five-valued Walsh spectrum Boolean functions ⋮ Two infinite classes of rotation symmetric bent functions with simple representation ⋮ Generic construction of Boolean functions with a few Walsh transform values of any possible algebraic degree ⋮ New classes of bent functions via the switching method ⋮ Several classes of bent functions over finite fields ⋮ Several infinite families of \(p\)-ary weakly regular bent functions ⋮ Wide minimal binary linear codes from the general Maiorana-Mcfarland class ⋮ Constructing totally disjoint spectra plateaued functions and searching five-value spectrum functions in odd variables

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