Some of permutation polynomials of the form D_(n,k) (x,a)+?(?Tr?_m^n (D_(n,k) (x,a)^k+?_1)?^(s_1 )+???(?Tr?_m^n (D_(n,k) (x,a)^k+?_2)?^(s_2 ) over F_2^2m?

Hasan H. Mushatet

doi:10.32792/utj.v17i1.281

Some of permutation polynomials of the form D_(n,k) (x,a)+?(?Tr?_m^n (D_(n,k) (x,a)^k+?_1)?^(s_1 )+???(?Tr?_m^n (D_(n,k) (x,a)^k+?_2)?^(s_2 ) over F_2^2m?

Authors

Hasan H. Mushatet Ministry of Education, Thi-Qar Education Directorate, Iraq.‎

DOI:

https://doi.org/10.32792/utj.v17i1.281

Keywords:

Permutation polynomial, Dickson polynomial, Reversed Dickson ‎polynomial, Trace function‎

Abstract

By this paper, we intend structure of some class of permutation polynomials which ?having the form D_(n,k) (x,a)+?(?Tr?_m^n (D_(n,k) (x,a)^k+?_1)?^(s_1 )+???(?Tr?_m^n (D_(n,k) (x,a)^k+?_2)?^(s_2 ) over F_2^2m depend on (AGW ?criterion ).?

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Published

2022-05-24

How to Cite

Hasan H. Mushatet. (2022). Some of permutation polynomials of the form D_(n,k) (x,a)+?(?Tr?_m^n (D_(n,k) (x,a)^k+?_1)?^(s_1 )+???(?Tr?_m^n (D_(n,k) (x,a)^k+?_2)?^(s_2 ) over F_2^2m?. University of Thi-Qar Journal, 17(1), 21–32. https://doi.org/10.32792/utj.v17i1.281