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New results on permutation polynomials over finite fields

New results on permutation polynomials over finite fields

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 …