Definition:Galois Field

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

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

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

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

Also see

 * Definition:Infinite Field