A quick and dirty irreducibility Test for Multivariate Polynomials over F_q

Details A quick and dirty irreducibility Test for Multivariate Polynomials over F_q A quick and dirty irreducibility Test for Multivariate Polynomials over F_q

2004-04-19

arxiv.org/abs/math/0404342v1

Experimental Mathematics, Vol. 14 (2005), No. 4, pp 415-422

Mathematics

Algebraic Geometry

11 pages, 4 figures; AMSlatex

Scientific paper

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.

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