On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields

DOI10.1016/j.ffa.2006.09.004zbMath1130.11068OpenAlexW2169627913MaRDI QIDQ2469476

Omran Ahmadi, Gerardo Vega

Publication date: 6 February 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2006.09.004

zbMATH Keywords

self-reciprocal polynomialsirreducible polynomialsFinite fields

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

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The parity of the number of irreducible factors for some pentanomials ⋮ Some relations between the irreducible polynomials over a finite field and its quadratic extension ⋮ Generalization of a theorem of Carlitz ⋮ Three proofs of an observation on irreducible polynomials over GF(2) ⋮ On the slice-ribbon conjecture for pretzel knots ⋮ Parity of the number of irreducible factors for composite polynomials ⋮ Fekete polynomials, quadratic residues, and arithmetic ⋮ Galois groups arising from families with big orthogonal monodromy

Cites Work

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• Self-reciprocal irreducible polynomials over finite fields
• A Swan-like theorem
• Factorization of polynomials over finite fields
• On the construction of irreducible self-reciprocal polynomials over finite fields
• Self-reciprocal irreducible pentanomials over \(\mathbb F_2\)
• Some theorems on irreducible reciprocal polynomials over a finite field.
• On irreducible polynomials of certain types in finite fields

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