Irréductibilité des polynômes \(f(X^{p^{2r}}-aX^{p^r}-bX)\) sur un corps fini \(\mathbb F_{p^s}\)

DOI10.1016/0022-314X(78)90008-2zbMath0369.12012MaRDI QIDQ1243762

Simon Joseph Agou

Publication date: 1978

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

finite fieldpolynomialsirreducibility

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (4)

Discriminants and the irreducibility of a class of polynomials in a finite field of arbitrary characteristic ⋮ Unnamed Item ⋮ The reducibility theorem for linearised polynomials over finite fields ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]

Cites Work

• 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 \(\mathbb F_{p^n}(X)\)
• Irréductibilité des polynomes f (Xpr - aX) sur un corps fini Fps.

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