Several Constructions Of Permutation Polynomials Over Finite Fields

Permutation polynomials over finite fields have extensive applications in the area ofnumber theory, combinatorial theory, group theory and cryptography and so on. From70’s of the last century for the necessary of the study of cryptography, permutationpolynomials have been extensively concerned by mathematicians, engineering andtechnical personnel. Nowadays, Finding permutation polynomials of a special type is ofgreat interest for the both theoretical and applied aspects. The paper is dedicated to thepermutation polynomials over finite fields, The main results are as follows.Firstly, we give an instruction about the development and the study of recently.Secondly, we construct some permutation polynomials in this paper and give their proof.Finally, we introduce the permutation polynomials overF16.