Accessible Requires Authentication Published by De Gruyter March 29, 2013

Permutation polynomials and translation planes of even order

Ulrich Dempwolff and Peter Müller
From the journal

Abstract

We describe two classes of permutation polynomials over finite fields F in characteristic 2 of the shape L(X)Xk where L(X) is an additive polynomial. Such polynomials determine translation planes of order |F|. We show that our polynomials define new classes of translation planes and we compute the automorphisms of these planes

Published Online: 2013-03-29
Published in Print: 2013-04

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