Irreducibility and multiplicative composition of polynomials over finite fields

Year, pages: 2023, 1 - 10

The aim of this paper is to provide integral polynomials irreducible over $\mathbb{Z}$ which are reducible over $\mathbb{F}_p$ for every prime $p$. In particular, we show that certain composed products of integral polynomials are reducible modulo $p$ for all primes $p$.

Benferhat, L., Kihel, O., Larone, J., Mohamed, R. 2023. Irreducibility and multiplicative composition of polynomials over finite fields. In Tatra Mountains Mathematical Publications, vol. 83, no.1, pp. 1-10. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0001

Benferhat, L., Kihel, O., Larone, J., Mohamed, R. (2023). Irreducibility and multiplicative composition of polynomials over finite fields. Tatra Mountains Mathematical Publications, 83(1), 1-10. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2023-0001

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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