Irreducibility and multiplicative composition of polynomials over finite fields

DOI10.2478/tmmp-2023-0001OpenAlexW4323359295MaRDI QIDQ2689384

Rezki Ould Mohamed, Jesse Larone, Leila Benferhat, Omar Kihel

Publication date: 10 March 2023

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/tmmp-2023-0001

zbMATH Keywords

polynomialresultantpolynomial decomposition

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials over finite fields (11T06) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Cites Work

• On irreducible polynomials over \(\mathbb Q\) which are reducible over \(\mathbb F_p\) for all \(p\)
• Irreducibles and the composed product for polynomials over a finite field
• Additive decompositions of polynomials over unique factorization domains