Classes of permutation polynomials based on cyclotomy and an additive   analogue
  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. 
Michael E. Zieve