A finite field K=_{q} is a field with q=p^{n} elements, where p is a prime number. For the case where n=1, you can also use Numerical calculator.

If q is not prime (i.e., n>1), the elements of _{q} must be described by a generator x whose minimal polynomial P(x) over _{p} is irreducible of degree n. In this case, you should define:

P(x) =