Dembowski-Ostrom polynomials from Dickson polynomials

Motivated by several recent results, we determine precisely when Fk(Xd, a) − Fk(0, a) is a Dembowski-Ostrom polynomial, where Fk(X, a) is a Dickson polynomial of the first or second kind. As a consequence, we obtain a classification of all such polynomials which are also planar; all examples found are equivalent to previously known examples.

• Type: Journal
• Year: 2010
• Where: FFA
• Authors: Robert S. Coulter, Rex W. Matthews
• Keywords: Dembowski-Ostrom Polynomial, FFA 2010, Polynomials