Revisiting some results on APN and algebraic immune functions

DOI10.3934/amc.2021035zbMath1520.94111OpenAlexW3197559979MaRDI QIDQ6163783

Claude Carlet

Publication date: 30 June 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2021035

zbMATH Keywords

Boolean functionS-boxsymmetric cryptographyalmost perfect nonlinearvectorial function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Boolean functions (94D10)

Related Items (1)

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

Cites Work

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• A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity
• Differentially low uniform permutations from known 4-uniform functions
• Low differentially uniform permutations from the Dobbertin APN function over \(\mathbb{F}_{2^n} \)
• A Note on Fast Algebraic Attacks and Higher Order Nonlinearities
• On Almost Perfect Nonlinear Functions Over$mmb F_2^n$
• An Infinite Class of Balanced Functions with Optimal Algebraic Immunity, Good Immunity to Fast Algebraic Attacks and Good Nonlinearity
• Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
• Perfect nonlinear S-boxes
• On Almost Perfect Nonlinear Permutations
• On the Distance Between APN Functions
• Construction and Analysis of Cryptographic Functions
• Boolean Functions for Cryptography and Coding Theory
• Exact relation between nonlinearity and algebraic immunity
• On the Higher Order Nonlinearities of Algebraic Immune Functions

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