On the functional graph of \(f(X)=c(X^{q+1} + aX^2)\) over quadratic extensions of finite fields

DOI10.1016/j.ffa.2023.102180OpenAlexW4324056828MaRDI QIDQ2701049

H. R. Teixeira, Fabio Enrique Brochero Martínez

Publication date: 27 April 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.11132

zbMATH Keywords

periodic pointsarithmetic dynamicsfunctional graph

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• The functional graph of linear maps over finite fields and applications
• On the cycle structure of repeated exponentiation modulo a prime
• The graph of the square mapping on the prime fields
• Graphs associated with the map \(x\mapsto x+x^{-1}\) in finite fields of characteristic three and five
• Rédei Actions on Finite Fields and Multiplication Map in Cyclic Group
• 8. A survey on iterations of mappings over finite fields

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