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

Simon Joseph Agou

Publication date: 1987

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

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

zbMATH Keywords

irreducibilitypolynomials over finite fieldshyponormality

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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