Definition:Galois Field

Definition
A Galois field $\struct {\GF, +, \circ}$ is a field such that $\GF$ is a finite set.

The symbol conventionally used to denote a Galois field of $p$ elements is $\map \GF p$.

Also known as
Some sources do not mention, but merely refer to a finite field.

Some sources use the notation $\map {\mathrm {GF} } n$ to denote a Galois field of order $n$.

Some sources use $\GF_p$ for $\map \GF p$.

Also see

 * Definition:Infinite Field