Finite field

Constructs a finite field.

finite_field(Integer)
finite_field(Integer, Identifier)
finite_field(Field, Integer)
finite_field(Field, Integer, Identifier)

Description

Given an integer $p$ (prime or multiple of a prime), constructs a finite field with $p$ elements.

Given an integer $p$ (prime or multiple of a prime) and an identifier $x$ , constructs a finite field with $p$ elements in the variable $x$ .

Given a field $F$ and an integer $n$ , constructs an extension of $F$ with order $n$ .

Given a field $F$ and an integer $n$ and an identifier $x$ , constructs an extension of $F$ with order $n$ in the variable $x$ .