Nonlinearity of APN functions: comparative analysis and estimates

DOI10.17223/20710410/61/2MaRDI QIDQ6495962

Vladimir G. Ryabov

Publication date: 2 May 2024

Published in: Prikladnaya Diskretnaya Matematika (Search for Journal in Brave)

zbMATH Keywords

nonlinearitypermutationAPN functionvectorial Boolean functionEA-equivalencedifferentially uniform

Mathematics Subject Classification ID

Computer science (68-XX) Information and communication theory, circuits (94-XX)

Cites Work

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• Equivalences of power APN functions with power or quadratic APN functions
• On the nonlinearity of S-boxes and linear codes
• Nonlinearities of S-boxes
• On the classification of APN functions up to dimension five
• Almost perfect nonlinear power functions on \(\mathrm{GF}(2^n)\): the Niho case.
• On the EA-classes of known APN functions in small dimensions
• Correction to: ``CCZ equivalence of power functions
• CCZ equivalence of power functions
• Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions
• Affinity of permutations of \(\mathbb F_{2}^{n}\)
• Open Questions on Nonlinearity and on APN Functions
• О приближении дискретных функций линейными функциями
• New classes of almost bent and almost perfect nonlinear polynomials
• Bounds on the Nonlinearity of Differentially Uniform Functions by Means of Their Image Set Size, and on Their Distance to Affine Functions
• On the Properties of the Boolean Functions Associated to the Differential Spectrum of General APN Functions and Their Consequences
• On the Classification of 4 Bit S-Boxes
• К вопросу о приближении векторных функций над конечными полями аффинными аналогами
• Trade-Offs for S-Boxes: Cryptographic Properties and Side-Channel Resilience

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