A note on constructing permutation polynomials |
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| Authors: | Robert Coulter Marie Henderson Rex Matthews |
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| Affiliation: | 1. Department of Mathematical Sciences, 520 Ewing Hall, University of Delaware, Newark, DE 19716, USA;2. State Services Commission, Wellington, New Zealand;3. 6 Earl St., Sandy Bay, Tasmania 7005, Australia |
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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. |
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