Permutations amongst the Dembowski-Ostrom Polynomials

Aart Blokhuis, Robert S. Coulter, Marie Henderson and Christine M. O’Keefe
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Aart Blokhuis: Technische Universiteit
Robert S. Coulter: The University of Queensland, Centre for Discrete Mathematics and Computing
Marie Henderson: The University of Queensland, Centre for Discrete Mathematics and Computing
Christine M. O’Keefe: The University of Adelaide, Department of Pure Mathematics

A chapter in Finite Fields and Applications, 2001, pp 37-42 from Springer

Abstract: Abstract We note that certain Dembowski-Ostrom polynomials can be obtained from the product of two linearised polynomials. We examine this subclass for permutation behaviour over finite fields. In particular, a new infinite class of permutation polynomials is identified.

Date: 2001
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DOI: 10.1007/978-3-642-56755-1_4

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