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

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