A note on constructing permutation polynomials

Authors:
Robert Coulter;Marie Henderson;Rex Matthews
Affiliations:
Department of Mathematical Sciences, 520 Ewing Hall, University of Delaware, Newark, DE 19716, USA;State Services Commission, Wellington, New Zealand;6 Earl St., Sandy Bay, Tasmania 7005, Australia
Venue:
Finite Fields and Their Applications
Year:
2009

Citing 1
Cited 1

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Abstract

Let H be a subgroup of the multiplicative group of a finite field. In this note we give a method for constructing permutation polynomials over the field using a bijective map from H to a coset of H. A similar, but inequivalent, method for lifting permutation behaviour of a polynomial to an extension field is also given.