Article ID Journal Published Year Pages File Type
4583500 Finite Fields and Their Applications 2008 35 Pages PDF
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