Xiaoer Qin, Li Yan: Some generalized permutation polynomials over finite fields, 75-87


Constructing permutation polynomials is a hot topic in finite fields, and permutation polynomials have many applications in another areas. In this paper, we combine the AGW criterion and the piecewise method to construct several classes of permutation polynomials over ${\bf F}_{q^{2}}$, which generalize some known classes of permutation polynomials over ${\bf F}_{q^{2}}$.

Key Words: Permutation polynomials, AGW criterion, piecewise method, finite fields.

2010 Mathematics Subject Classification: Primary 11T06; Secondary 12E20.

Download the paper in pdf format here.