Finite field calculator

This tool allows you to carry out algebraic operations on elements of a finite field.

A finite field K=𝔽 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.
First give the number of elements:
q =
If q is not prime (i.e., n>1), the elements of 𝔽 q must be described by a generator x whose minimal polynomial x over 𝔽 p is irreducible of degree n. In this case, you should define:
P(x) =
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