Reversed Dickson polynomials of the (k+1)-th kind over finite fields

Neranga Fernando

Reversed Dickson polynomials of the (k+1)-th kind over finite fields

Number Theory 2016-05-17 v1

Authors: Neranga Fernando

Abstract

We discuss the properties and the permutation behaviour of the reversed Dickson polynomials of the $(k+1)$ -th kind $D_{n,k}(1,x)$ over finite fields. The results in this paper unify and generalize several recently discovered results on reversed Dickson polynomials over finite fields.

Keywords

reversed Dickson polynomials finite fields permutation behaviour polynomial properties (k+1)-th kind permutation functions

Cite

@article{arxiv.1605.04338,
  title  = {Reversed Dickson polynomials of the (k+1)-th kind over finite fields},
  author = {Neranga Fernando},
  journal= {arXiv preprint arXiv:1605.04338},
  year   = {2016}
}

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20 pages

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