New permutation trinomials constructed from fractional polynomials
Volume 183 / 2018
Acta Arithmetica 183 (2018), 101-116
MSC: Primary 05A05; Secondary 11T06.
DOI: 10.4064/aa8461-11-2017
Published online: 23 March 2018
Abstract
Six new classes of permutation trinomials over finite fields of even characteristic are constructed from six fractional polynomials. Furthermore, two classes of permutation trinomials over finite fields of characteristic three are described. Unlike most of the known permutation trinomials which are with fixed exponents, our results yield general classes of permutation trinomials with a parameter in the exponents.
