Dembowski-Ostrom polynomials from Dickson polynomials

DOI10.1016/j.ffa.2010.06.002zbMath1254.11109OpenAlexW2017228181MaRDI QIDQ708441

Robert S. Coulter, Rex W. Matthews

Publication date: 11 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.06.002

zbMATH Keywords

Dickson polynomialsplanar functionsDembowski-Ostrom polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (7)

Finite semifields: A brief history and current directions ⋮ Some recent directions in finite semifields ⋮ Dembowski-Ostrom polynomials from reversed Dickson polynomials ⋮ Further results on planar DO functions and commutative semifields ⋮ On derivatives of polynomials over finite fields through integration ⋮ Translation planes of odd order via Dembowski-Ostrom polynomials ⋮ Dembowski-Ostrom polynomials and reversed Dickson polynomials

Uses Software

• Magma

Cites Work

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• Planar functions and planes of Lenz-Barlotti class II
• A family of skew Hadamard difference sets
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• The Magma algebra system. I: The user language
• On the permutation behaviour of Dickson polynomials of the second kind
• Pseudo-Paley graphs and skew Hadamard difference sets from presemifields
• Finite semifields and projective planes
• Commutative presemifields and semifields
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• A note on the permutation behaviour of the Dickson polynomials of the second kind
• Über eine Klasse von Permutationspolynomen und die dadurch dargestellten Gruppen.
• On Nonassociative Division Algebras

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