Factoring polynomials over finite fields

We propose a new deterministic method of factoring polynomials over finite fields. Assuming the Generalized Riemann Hypothesis (GRH), we obtain, in polynomial time, the factorization of any polynomial with a bounded number of irreducible factors. Other consequences include a polynomial time algorithm to find a nontrivial factor of any completely splitting even degree polynomial when a quadratic nonresidue in the field is given.