What is the exponent in the definition of a Galois field called?

Question

From what I understand, when speaking of a Galois field $\operatorname{GF}(p^k)$, $p$ is called the characteristic of the field, and $p^k$ is the order. Does $k$ have a name by itself?

Answer 1

It's the degree of the extension, that is, $GF(p^k)$ as an extension of $GF(p)$ of degree $k$.