Low \(c\)-differential uniformity for functions modified on subfields

DOI10.1007/s12095-022-00554-xOpenAlexW4210520701WikidataQ114849171 ScholiaQ114849171MaRDI QIDQ2096651

Daniele Bartoli, Marco Calderini, Pantelimon Stănică, Constanza Riera

Publication date: 11 November 2022

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.02987

zbMATH Keywords

differential uniformity\(c\)-differentialsBoolean and \(p\)-ary functionsperfect and almost perfect \(c\)-nonlinearity

Mathematics Subject Classification ID

Cryptography (94A60) Polynomials over finite fields (11T06) Boolean functions (06E30) Boolean functions (94D10)

Related Items (4)

Investigations of \(c\)-differential uniformity of permutations with Carlitz rank 3 ⋮ Low \(c\)-differential uniformity of the swapped inverse function in odd characteristic ⋮ A note on the \(c\)-differential spectrum of an AP\(c\)N function ⋮ On non-monomial APcN permutations over finite fields of even characteristic

Cites Work

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• On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions
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• C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity
• Construction and Analysis of Cryptographic Functions
• Boolean Functions for Cryptography and Coding Theory
• The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes
• Revisiting some results on APN and algebraic immune functions

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