Factorization over a finite field \(\mathbb F_{p^n}\) of the composite polynomials \(f\left(X^{p^r}-aX\right)\) where \(f(X)\) is an irreducible polynomial in \(\mathbb F_{p^n}(X)\)
From MaRDI portal
Publication:1239188
DOI10.1016/0022-314X(77)90027-0zbMath0358.12011MaRDI QIDQ1239188
Publication date: 1977
Published in: Journal of Number Theory (Search for Journal in Brave)
Related Items (10)
Discriminants and the irreducibility of a class of polynomials in a finite field of arbitrary characteristic ⋮ Irreducible factors of psi-polynomials over finite fields ⋮ Prescribing coefficients of invariant irreducible polynomials ⋮ Univariate polynomial factorization over finite fields ⋮ Sur la factorisation des polynômes \(f(X^{p^{2r}}-aX^{p^r}-bX)\) sur un corps fini \(\mathbb{F}_{p^s}\) ⋮ Zigzag polynomials, Artin's conjecture and trinomials ⋮ On the reducibility of some composite polynomials over finite fields ⋮ Factoring polynomials over finite fields: A survey ⋮ Irréductibilité des polynômes \(f(X^{p^{2r}}-aX^{p^r}-bX)\) sur un corps fini \(\mathbb F_{p^s}\) ⋮ The reducibility theorem for linearised polynomials over finite fields
Cites Work
- Unnamed Item
- Factorisation sur un corps fini \(F_{p^n}\) des polynômes composés \(f(X^3)\) lorsque \(f(X)\) est un polynôme irréductible de \(f_{p^n}[X\)]
- Factorization of irreducible polynomials over a finite field with the substitution \(x^{p^r}-x\) for x
- Critères d'irréductibilite des polynômes composés à coefficients dans un corps fini
This page was built for publication: Factorization over a finite field \(\mathbb F_{p^n}\) of the composite polynomials \(f\left(X^{p^r}-aX\right)\) where \(f(X)\) is an irreducible polynomial in \(\mathbb F_{p^n}(X)\)