A Note on Permutation Binomials and Trinomials over Finite Fields


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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


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 Dn,k(1,x) over \mathbb{F}_{p^e} when n = pl + 2, where l\in \mathbb{N}.

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

Classification (MSC2000) 11T06, 11T55.

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