A quick and dirty irreducibility Test for Multivariate Polynomials over F_q
Hans‐Christian Graf von Bothmer, Frank–Olaf Schreyer · arXiv (Cornell University) · 2004
We provide some statistics about an irreducibility/reducibility test for multivariate polynomials over finite fields based on counting points. The test works best for polynomials in a large number of variables and can also be applied to black box polynomials.