On the factorization of the polynomials $X^{p^{2r}+p^{r+1}}-aX^{p^ r+1}-bX-c$ over the finite fields ${\mathbb{F}}_{p^ s}$.

DOI10.1007/BF01169088zbMath0628.12011MaRDI QIDQ1092956

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155216

zbMATH Keywords

irreducibility polynomials over finite fields hyponormality

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Cites Work

Sur la factorisation des polynômes $f(X^{p^{2r}}-aX^{p^r}-bX)$ sur un corps fini $\mathbb{F}_{p^s}$
Degre minimum des polynômes $f(\sum_{i=O,\dots ,m} a_ iX^{p^{ri}}$ sur les corps finis de caractéristique $p>m$
Sur l'irréductibilité des trinômes $X^{p^r + 1} - aX - b$ sur les corps finis $F_{p^s}$
On the Theorem of Gleason and Marsh
The Degrees of the Factors of Certain Polynomials Over Finite Fields

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On the factorization of the polynomials \(X^{p^{2r}+p^{r+1}}-aX^{p^ r+1}-bX-c\) over the finite fields \({\mathbb{F}}_{p^ s}\).