\(C\)-differential bent functions and perfect nonlinearity

DOI10.1016/J.DAM.2021.10.010OpenAlexW3211387227MaRDI QIDQ2057603

Aaron Geary, Sugata Gangopadhyay, Pantelimon Stănică, Anton Tkachenko, Constanza Riera

Publication date: 7 December 2021

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

Full work available at URL: https://arxiv.org/abs/2006.12535

zbMATH Keywords

autocorrelationdifferential uniformityperfect and almost perfect \(c\)-nonlinearity\(c\)-differential bentBoolean and \(p\)-ary function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Boolean functions (06E30) Boolean functions (94D10)

Related Items (1)

On construction and (non)existence of \(c\)-(almost) perfect nonlinear functions

Cites Work

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• Bent and generalized bent Boolean functions
• Planar functions and planes of Lenz-Barlotti class II
• Planarity of products of two linearized polynomials
• Generalized bent functions -- some general construction methods and related necessary and sufficient conditions
• Generalized bent functions and their properties
• Nonlinear functions in abelian groups and relative difference sets.
• On symmetry and differential properties of generalized Boolean functions
• Multiple characters transforms and generalized Boolean functions
• Partial spread and vectorial generalized bent functions
• Planarity of mappings \(x(\mathrm{Tr}(x)-\frac{\alpha}{2}x)\) on finite fields
• Monomial and quadratic bent functions over the finite fields of odd characteristic
• Perfect nonlinear S-boxes
• Decomposing Generalized Bent and Hyperbent Functions
• Full Characterization of Generalized Bent Functions as (Semi)-Bent Spaces, Their Dual, and the Gray Image
• Further Results on Generalized Bent Functions and Their Complete Characterization
• Investigations on c-(Almost) Perfect Nonlinear Functions
• C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity
• Construction and Analysis of Cryptographic Functions
• Boolean Functions for Cryptography and Coding Theory
• Generalized Bent Functions and Their Gray Images
• Almost Perfect Nonlinear Power Functions in Odd Characteristic
• Bent Functions
• Complete Characterization of Generalized Bent and 2^k-Bent Boolean Functions

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