Irreducible polynomials from a cubic transformation

DOI10.1016/j.ffa.2022.102111OpenAlexW3212484112MaRDI QIDQ2081343

Sandro Mattarei, Marco Pizzato

Publication date: 12 October 2022

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

Full work available at URL: https://arxiv.org/abs/2111.04166

zbMATH Keywords

irreducible polynomialcubic transformation

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20)

Cites Work

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• On the number of irreducible linear transformation shift registers
• Generalization of a theorem of Carlitz
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• Enumeration of linear transformation shift registers
• Generalizations of self-reciprocal polynomials
• Cubic function fields with prescribed ramification
• Some theorems on irreducible reciprocal polynomials over a finite field.
• On irreducible polynomials of certain types in finite fields