Primitive Polynomial (field Theory)

Primitive Polynomial (field Theory)

In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF(pm). In other words, a polynomial with coefficients in GF(p) = Z/pZ is a primitive polynomial if it has a root in GF(pm) such that is the entire field GF(pm), and moreover, is the smallest degree polynomial having as root.

Read more about Primitive Polynomial (field Theory):  Properties, Primitive Trinomials

Famous quotes containing the word primitive:

    “It would be some advantage to live a primitive and frontier life, though in the midst of an outward civilization, if only to learn what are the gross necessaries of life and what methods have been taken to obtain them.”
    —Henry David Thoreau (1817–1862)