@article{Qin2022, 
author = {Xiaoer Qin and Li Yan},
title = {Some specific classes of permutation polynomials over                      F                            q        3},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {17815-17828},
keywords = {finite filed, permutation polynomial, AGW criterion, piecewise method},
url = {https://www.sciopen.com/article/10.3934/math.2022981},
doi = {10.3934/math.2022981},
abstract = {Constructing permutation polynomials is a hot topic in finite fields. Recently, huge kinds of permutation polynomials over              F                      q        2             have been studied. In this paper, by using AGW criterion and piecewise method, we construct several classes of permutation polynomials over              F                      q        3             of the forms similar to    (      x                  q        2              +      x    q    +  x  +  δ      )                                        q                          3                                −          1                d            +      1        +  L  (  x  ), for    d  =  2  ,  3  ,  4  ,  6  , where    L  (  x  ) is a linearized polynomial over              F              q      .}
}