Gold functions and switched cube functions are not 0-extendable in dimension \(n > 5\)

DOI10.1007/s10623-022-01111-6OpenAlexW4297492736WikidataQ114849640 ScholiaQ114849640MaRDI QIDQ2698338

Claude Carlet, Christof Beierle

Publication date: 21 April 2023

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10510

zbMATH Keywords

nonlinearityextensionlinearityAPNgold functiontrim

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (94D10)

Cites Work

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• Constructing new APN functions from known ones
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• Trims and extensions of quadratic APN functions
• A new almost perfect nonlinear function which is not quadratic
• New Instances of Quadratic APN Functions
• On the Properties of the Boolean Functions Associated to the Differential Spectrum of General APN Functions and Their Consequences
• Recovering or Testing Extended-Affine Equivalence
• Boolean Functions for Cryptography and Coding Theory
• Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
• The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions

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