Several classes of permutation polynomials over Fp2m with odd characteristic based on the AGW criterion - Details

author：

Liu, Q. (Liu, Q..) ^[1] | Jiang, R. (Jiang, R..) ^[2] | Zou, J. (Zou, J..) ^[3]

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Abstract：

In　this　paper,　by　employing　the　AGW　criterion　and　determining　the　number　of　solutions　to　some　equations　over　finite　fields　Fp2m　with　odd　characteristic,　we　further　investigate　the　permutation　behavior　of　polynomials　with　given　forms.　Some　of　them　are　the　permutation　polynomials　with　the　form　(xpm-x+δ)s+L(x),　others　are　the　permutation　polynomials　with　the　form　(xpm-x+δ)s1+(xpm-x+δ)s2+L(x),　where　L(x)=axpm+ax,　a∈Fpm∗　and　p∈{3,5}.　©　The　Author(s),　under　exclusive　licence　to　Springer　Science+Business　Media,　LLC,　part　of　Springer　Nature　2025.

Keyword：

AGW criterion Finite field Permutation polynomial

Community：

[ 1 ] [Liu Q.]Key Laboratory of Information Security of Network Systems, College of Computer and Data Science, Fuzhou University, Fuzhou, 350116, China
[ 2 ] [Liu Q.]Key Laboratory of Equipment Data Security and Guarantee Technology, Guilin University of Electronic Technology, Guilin, 541004, China
[ 3 ] [Liu Q.]Yunnan Key Laboratory of Service Computing, Yunnan University of Finance and Economics, Kunming, 650221, China
[ 4 ] [Jiang R.]Yunnan Key Laboratory of Service Computing, Yunnan University of Finance and Economics, Kunming, 650221, China
[ 5 ] [Zou J.]Key Laboratory of Information Security of Network Systems, College of Computer and Data Science, Fuzhou University, Fuzhou, 350116, China

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Source ：

Cryptography and Communications

ISSN： 1936-2447

Year： 2025

1 . 2 0 0

JCR@2023

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