Factors of Dickson polynomials over finite fields.

DOI10.1016/j.ffa.2004.12.002zbMath1190.11062OpenAlexW2041855298MaRDI QIDQ955204

Robert W. Fitzgerald, Joseph L. Yucas

Publication date: 19 November 2008

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

Full work available at URL: https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1026&context=math_articles

zbMATH Keywords

Dickson polynomialsFinite fieldsCyclotomic polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (7)

Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields ⋮ Explicit factorizations of generalized Dickson polynomials of order \(2^m\) via generalized cyclotomic polynomials over finite fields ⋮ Composed products and factors of cyclotomic polynomials over finite fields ⋮ On explicit factors of cyclotomic polynomials over finite fields ⋮ Explicit factorizations of cyclotomic polynomials over finite fields ⋮ Explicit factors of generalized cyclotomic polynomials and generalized Dickson polynomials of order \(2^m 3\) over finite fields ⋮ Factorization of Dickson polynomials over finite fields

Cites Work

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• Self-reciprocal irreducible polynomials over finite fields
• The explicit construction of irreducible polynomials over finite fields
• Necklaces, symmetries and self-reciprocal polynomials
• Completely normal elements in iterated quadratic extensions of finite fields
• The factorization of Dickson polynomials over finite fields
• Factoring Dickson polynomials over finite fields
• Recurrent methods for constructing irreducible polynomials over \(\text{GF}(2^s)\)
• On the construction of irreducible self-reciprocal polynomials over finite fields
• Some theorems on irreducible reciprocal polynomials over a finite field.

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