The reducibility theorem for linearised polynomials over finite fields

DOI10.1017/S0004972700017445zbMath0682.12016MaRDI QIDQ4731270

Stephen D. Cohen

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite fieldirreducible polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (2)

On a conjecture of Beard, O'Connell and West concerning perfect polynomials ⋮ A correspondence of certain irreducible polynomials over finite fields

Cites Work

• Unnamed Item
• Discriminants and the irreducibility of a class of polynomials in a finite field of arbitrary characteristic
• Sur la factorisation des polynômes \(f(X^{p^{2r}}-aX^{p^r}-bX)\) sur un corps fini \(\mathbb{F}_{p^s}\)
• Factorization of Q(h(T)(x)) over a finite field where Q(x) is irreducible and h(T)(x) is linear. II
• 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 polynômes \(f(X^{p^{2r}}-aX^{p^r}-bX)\) sur un corps fini \(\mathbb F_{p^s}\)
• Irréductibilité des Polynömes Sur un Corps Fini

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