# A Note on Permutation Binomials and Trinomials over Finite Fields

### From NZJM

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**New Zealand Journal of Mathematics**

**Vol.** 48, (2018), **Pages** 25-29

**Neranga Fernando**

Department of Mathematics,

Northeastern University,

Boston, MA 02115

mailto:w.fernando@northeastern.edu

**Abstract** Let *p* be an odd prime and *e* be a positive integer. We completely explain the permutation binomials and trinomials arising from the reversed Dickson polynomials of the (*k* + 1)-th kind *D*_{n,k}(1,*x*) over when *n* = *p*^{l} + 2, where .

**Keywords** Finite field, Permutation polynomial, Binomial, Trinomial, Reversed Dickson polynomial.

**Classification** (MSC2000) 11T06, 11T55.

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