Examples of Finite Fields

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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.

Answer to Example 1

Example 2

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

Answer to Example 2

Example 3

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

Answer to Example 3

Example 4

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

Answer to Example 4

Example 5

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

Answer to Example 5