Published by De Gruyter March 29, 2013

Permutation polynomials and translation planes of even order

Ulrich Dempwolff and Peter Müller

https://doi.org/10.1515/advgeom-2011-050

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Abstract

We describe two classes of permutation polynomials over finite fields F in characteristic 2 of the shape L(X)X^k 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

Permutation polynomials and translation planes of even order

Abstract

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