Further cryptographic properties of the multiplicative inverse function

DOI10.1016/j.dam.2021.10.020zbMath1479.94258OpenAlexW3216478659WikidataQ114848566 ScholiaQ114848566MaRDI QIDQ2057606

Bimal Mandal, Deng Tang, Subhamoy Maitra

Publication date: 7 December 2021

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2021.10.020

zbMATH Keywords

nonlinearityblock cipherBoolean functiondifferential uniformityS-boxGowers uniformity norm

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (94D10)

Related Items (3)

Computational results on Gowers \(U_2\) and \(U_3\) norms of known S-boxes ⋮ On the Gowers \(U_2\) and \(U_3\) norms of Boolean functions and their restriction to hyperplanes ⋮ A lower bound on the third-order nonlinearity of the simplest \(\mathcal{PS}_{a p}\) bent functions

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• AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM
• Kloosterman sums and finite field extensions
• A new proof of Szemerédi's theorem

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