New links between nonlinearity and differential uniformity
type: Item
instance of: scholarly article
title: New links between nonlinearity and differential uniformity
zbMATH Open document ID: 1411.94053
author: Pascale Charpin
author: Jie Peng
published in: Finite Fields and their Applications
publication date: 2019-03-27T00:00:00Z
full work available at URL: Charpin-Peng-18.pdf
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 14G50
zbMATH DE Number: 7043376
zbMATH Keywords: vectorial Boolean function
zbMATH Keywords: quadratic function
zbMATH Keywords: nonlinearity
zbMATH Keywords: differential uniformity
zbMATH Keywords: differentially two-valued function
MaRDI profile type: Publication
OpenAlex ID: W2905157631
cites work: On Almost Perfect Nonlinear Functions Over$mmb F_2^n$
cites work: Differential cryptanalysis of DES-like cryptosystems
cites work: On the Walsh Spectrum of a New APN Function
cites work: A few more quadratic APN functions
cites work: Fourier Spectra of Binomial APN Functions
cites work: A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
cites work: Binomial differentially 4 uniform permutations with high nonlinearity
cites work: On the Fourier spectra of the infinite families of quadratic APN functions
cites work: Constructing new APN functions from known ones
cites work: Two Classes of Quadratic APN Binomials Inequivalent to Power Functions
cites work: Characterizations of the Differential Uniformity of Vectorial Functions by the Walsh Transform
cites work: Q4365754
cites work: Sparse permutations with low differential uniformity
cites work: Differential uniformity and the associated codes of cryptographic functions
cites work: One-to-one highly nonlinear power functions on \(\mathrm{GF}(2^n)\)
cites work: Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
cites work: The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes
cites work: On the non-linearity of power functions.
cites work: Q4934705
cites work: Perfect nonlinear S-boxes
cites work: Q4934708
cites work: Q4484892
cites work: On the Maximum Number of Bent Components of Vectorial Functions
cites work: New secondary constructions of differentially 4-uniform permutations over
cites work: Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method
cites work: A negative answer to Bracken-Tan-Tan's problem on differentially 4-uniform permutations over \(\mathbb F_2n\)
Wikidata QID: Q128703972
DOI: 10.1016/J.FFA.2018.12.001
description: scientific article; zbMATH DE number 7043376