A Note on Permutation Binomials and Trinomials over Finite Fields

Neranga Fernando

doi:10.53733/38

A Note on Permutation Binomials and Trinomials over Finite Fields

Authors

Neranga Fernando Northeastern University,

DOI:

https://doi.org/10.53733/38

Keywords:

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

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 $\mathbb{F}_{p^e}$ when n = p^l + 2, where $l\in \mathbb{N}$ .

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Author Biography

Neranga Fernando, Northeastern University,

Department of Mathematics,

Northeastern University,

Boston, MA 02115

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Published

31-12-2018

How to Cite

Fernando, N. (2018). A Note on Permutation Binomials and Trinomials over Finite Fields. New Zealand Journal of Mathematics, 48, 25–29. https://doi.org/10.53733/38