Construction of weightwise perfectly balanced Boolean functions with high weightwise nonlinearity
From MaRDI portal
Publication:2181237
DOI10.1016/j.dam.2020.01.020zbMath1481.94168OpenAlexW3004165904MaRDI QIDQ2181237
Publication date: 18 May 2020
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.dam.2020.01.020
Boolean functionalgebraic immunityalgebraic degreeweightwise nonlinearityweightwise perfectly balancedness
Related Items
On constructions of weightwise perfectly balanced Boolean functions ⋮ A systematic method of constructing weightwise almost perfectly balanced Boolean functions on an arbitrary number of variables ⋮ Weightwise perfectly balanced functions and nonlinearity ⋮ A new construction of weightwise perfectly balanced Boolean functions ⋮ A unified construction of weightwise perfectly balanced Boolean functions ⋮ Weightwise almost perfectly balanced functions: secondary constructions for all \(n\) and better weightwise nonlinearities ⋮ The lower bound of the weightwise nonlinearity profile of a class of weightwise perfectly balanced functions ⋮ Construction of weightwise almost perfectly balanced Boolean functions on an arbitrary number of variables ⋮ On the weightwise nonlinearity of weightwise perfectly balanced functions ⋮ Concrete constructions of weightwise perfectly balanced (2-rotation symmetric) functions with optimal algebraic immunity and high weightwise nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- On the nonlinearity of Boolean functions with restricted input
- Weightwise perfectly balanced functions with high weightwise nonlinearity profile
- A family of weightwise (almost) perfectly balanced Boolean functions with optimal algebraic immunity
- An orthogonal basis for functions over a slice of the Boolean hypercube
- Towards Stream Ciphers for Efficient FHE with Low-Noise Ciphertexts
- Cryptanalysis of the FLIP Family of Stream Ciphers
- Friedgut--Kalai--Naor theorem for slices of the Boolean cube
