# 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:
$P\left(x\right)$ =
The most recent version

This page is not in its usual appearance because WIMS is unable to recognize your web browser.

In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press Enter''.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

Description: computes elements in a finite field. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, number, algebra, number_theory,, calculator, finite_field,cryptology