English

A quick and dirty irreducibility Test for Multivariate Polynomials over F_q

Algebraic Geometry 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0404342,
  title  = {A quick and dirty irreducibility Test for Multivariate Polynomials over F_q},
  author = {H. -C. Graf v. Bothmer and F. -O. Schreyer},
  journal= {arXiv preprint arXiv:math/0404342},
  year   = {2007}
}

Comments

11 pages, 4 figures; AMSlatex