Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583500 | Finite Fields and Their Applications | 2008 | 35 Pages |
Abstract
Among the bivariate polynomials over a finite field, most are irreducible. We count some classes of special polynomials, namely the reducible ones, those with a square factor, the “relatively irreducible” ones which are irreducible but factor over an extension field, and the singular ones, which have a root at which both partial derivatives vanish.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory