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Irreducibility and multiplicative composition of polynomials over finite fields

In: Tatra Mountains Mathematical Publications, vol. 83, no. 1
Leila Benferhat - Omar Kihel - Jesse Larone - Rezki Ould Mohamed
Detaily:
Rok, strany: 2023, 1 - 10
Jazyk: eng
Kľúčové slová:
polynomial, polynomial decomposition, resultant
Typ článku: Mathematics
Typ dokumentu: Scientific paper, pdf
O článku:
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 $p$.
Ako citovať:
ISO 690:
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

APA:
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
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 20. 2. 2023
Verejná licencia:
The Creative Commons Attribution-NC-ND 4.0 International Public License