New results on permutation polynomials over finite fields
Xiaoer Qin, Guoyou Qian, Shaofang Hong · International Journal of Number Theory · 2014
In this paper, we get several new results on permutation polynomials over finite fields. First, by using the linear translator, we construct permutation polynomials of the forms [Formula: see text] and [Formula: see text]. These forms generalize the results obtained by Kyureghyan in 2011. Consequently, we characterize permutation polynomials of the form [Formula: see text], which extends a theorem of Charpin and Kyureghyan obtained in 2009.