New links between nonlinearity and differential uniformity
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Publication:1734670
DOI10.1016/j.ffa.2018.12.001zbMath1411.94053OpenAlexW2905157631WikidataQ128703972 ScholiaQ128703972MaRDI QIDQ1734670
Publication date: 27 March 2019
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01907499/file/Charpin-Peng-18.pdf
nonlinearityquadratic functiondifferential uniformityvectorial Boolean functiondifferentially two-valued function
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (3)
On constructions and properties of \((n,m)\)-functions with maximal number of bent components ⋮ On the boomerang uniformity of quadratic permutations ⋮ On the differential properties of the power mapping \(x^{p^m + 2}\)
Cites Work
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- Sparse permutations with low differential uniformity
- Binomial differentially 4 uniform permutations with high nonlinearity
- A few more quadratic APN functions
- Differential cryptanalysis of DES-like cryptosystems
- A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
- Constructing new APN functions from known ones
- One-to-one highly nonlinear power functions on \(\mathrm{GF}(2^n)\)
- On the Fourier spectra of the infinite families of quadratic APN functions
- Differential uniformity and the associated codes of cryptographic functions
- A negative answer to Bracken-Tan-Tan's problem on differentially 4-uniform permutations over \(\mathbb F_2n\)
- On the non-linearity of power functions.
- On Almost Perfect Nonlinear Functions Over$mmb F_2^n$
- Fourier Spectra of Binomial APN Functions
- Two Classes of Quadratic APN Binomials Inequivalent to Power Functions
- Perfect nonlinear S-boxes
- On the Maximum Number of Bent Components of Vectorial Functions
- Characterizations of the Differential Uniformity of Vectorial Functions by the Walsh Transform
- New secondary constructions of differentially 4-uniform permutations over
- Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method
- On the Walsh Spectrum of a New APN Function
- The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes
- Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
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