Dickson polynomials over finite fields
In this paper we introduce the notion of Dickson polynomials of the (k+1)-th kind over finite fields Fpm and study basic properties of this family of polynomials. In particular, we study the factorization and the permutation behavior of Dickson polynomials of the third kind.
|Keywords||Dickson polynomials, Factorization, Finite fields, Permutation polynomials|
|Journal||Finite Fields and their Applications|
Wang, Q, & Yucas, J.L. (Joseph L.). (2012). Dickson polynomials over finite fields. Finite Fields and their Applications, 18(4), 814–831. doi:10.1016/j.ffa.2012.02.001