Fourier Spectra of Binomial APN Functions

DOI10.1137/080717079zbMath1208.11133arXiv0803.3781OpenAlexW2035311227MaRDI QIDQ3563928

Carl Bracken, Nadya Markin, Gary McGuire, Eimear Byrne

Publication date: 1 June 2010

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3781

zbMATH Keywords

Fourier spectrumAPN functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Exponential sums (11T23)

Related Items (10)

Sparse permutations with low differential uniformity ⋮ On the Walsh spectrum of a family of quadratic APN functions with five terms ⋮ Triplicate functions ⋮ On weakly APN functions and 4-bit S-boxes ⋮ Almost perfect and planar functions ⋮ New links between nonlinearity and differential uniformity ⋮ Generalization of a class of APN binomials to Gold-like functions ⋮ Some Results on the Known Classes of Quadratic APN Functions ⋮ Determining the Walsh spectra of Taniguchi's and related APN-functions ⋮ Permutation Binomial Functions over Finite Fields

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