Some classes of complete permutation polynomials in the form of (xpm − x + δ )s + axpm + bx over Fp 2m

Autor: Xu Xiaofang, Fan Jinmei
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Applied Mathematics and Nonlinear Sciences, Vol 8, Iss 1, Pp 1979-1992 (2023)
Druh dokumentu: article
ISSN: 2444-8656
DOI: 10.2478/amns.2021.2.00132
Popis: Several classes of complete permutation polynomials (CPPs) in the form of (xpm − x+ δ )s+ axpm + bx over Fp2m are described in this paper. For fractional exponent s, the permutation properties of the given polynomials are proved by the AGW criterion and for determining the bijectivity of the corresponding piecewise functions. For exponent ssatisfying s= i(pm − 1) + pj, the main proofs here depend on the AGW criterion and the quantity of solutions for certain linearised equations. Several results generalise some earlier results on permutation polynomials (PPs).
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