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:
“Perhaps our own woods and fields,—in the best wooded towns, where we need not quarrel about the huckleberries,—with the primitive swamps scattered here and there in their midst, but not prevailing over them, are the perfection of parks and groves, gardens, arbors, paths, vistas, and landscapes. They are the natural consequence of what art and refinement we as a people have.... Or, I would rather say, such were our groves twenty years ago.”
—Henry David Thoreau (1817–1862)