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:
“How far men go for the material of their houses! The inhabitants of the most civilized cities, in all ages, send into far, primitive forests, beyond the bounds of their civilization, where the moose and bear and savage dwell, for their pine boards for ordinary use. And, on the other hand, the savage soon receives from cities iron arrow-points, hatchets, and guns, to point his savageness with.”
—Henry David Thoreau (1817–1862)