Classes of permutation polynomials based on cyclotomy and an additive analogue

Mathematics – Number Theory

Scientific paper

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8 pages. Dedicated to Mel Nathanson on the occasion of his sixtieth birthday

Scientific paper

I present a construction of permutation polynomials based on cyclotomy, an
additive analogue of this construction, and a generalization of this additive
analogue which appears to have no multiplicative analogue. These constructions
generalize recent results of J. Marcos from arXiv:0810.2738v1.

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