# Examples of Finite Fields

This page contains several examples of finite fields.

## Example 1

Construct a field [math]E[/math] with [math]7^3[/math] elements starting with a monic polynomial with constant coefficient 2.

## Example 2

Construct a field [math]E[/math] with [math]7^3[/math] elements starting with a monic polynomial with constant coefficient 3.

## Example 3

Construct a field [math]E[/math] with [math]11^3[/math] elements starting with a monic polynomial with constant coefficient 2.

## Example 4

Construct a field [math]E[/math] with [math]11^3[/math] elements starting with a monic polynomial with constant coefficient 3.

## Example 5

Construct a field [math]E[/math] with [math]13^3[/math] elements starting with a monic polynomial with constant coefficient 2.