Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields

摘要

We give, over a finite field F_q, explicit factorizations into a product of irreducible polynomials, of the cyclotomic polynomials of order 3·2~n, the Dickson polynomials of the first kind of order 3 · 2~n and the Dickson polynomials of the second kind of order 3 · 2~n — 1.