On the exponents of APN power functions and Sidon sets, sum-free sets, and Dickson polynomials

DOI10.3934/amc.2021064OpenAlexW2795322485MaRDI QIDQ6047447

Stjepan Picek, Claude Carlet

Publication date: 12 September 2023

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

Full work available at URL: https://doi.org/10.3934/amc.2021064

zbMATH Keywords

Sidon setalmost perfect nonlinear functionsDickson polynomialpower functionssum-free

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Additive bases, including sumsets (11B13) Boolean functions (94D10)

Cites Work

• Reversed Dickson polynomials over finite fields
• Sidon sets in groups and induced subgraphs of Cayley graphs
• On those multiplicative subgroups of \({\mathbb F}_{2^n}^\ast\) which are Sidon sets and/or sum-free sets
• Sum-free sets in abelian groups
• Sum-free sets in groups: a survey
• A Class of Exceptional Polynomials
• On Almost Perfect Nonlinear Permutations
• Boolean Functions for Cryptography and Coding Theory
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