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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
© 2013 by Walter de Gruyter GmbH & Co.