Necessities and sufficiencies of a class of permutation polynomials over finite fields

07/28/2019

∙

by   Xiaogang Liu, et al.

∙

0

∙

share

For the finite field F_2^3m, permutation polynomials of the form (x^2^m+x+δ)^s+cx are studied. Necessary and sufficient conditions are given for the polynomials to be permutation polynomials. For this, the structures and properties of the field elements are analyzed.