Irreducible polynomials

Computes all (if possible) irreducible polynomials in a field of the desired degree.

irreducible_polynomials(Field, Integer, Identifier)
irreducible_polynomials(Field, Integer)
irreducible_polynomials(Integer, Field, Integer, Identifier)
irreducible_polynomials(Integer, Field, Integer)

Description

irreducible_polynomials(Field, Integer, Identifier)

Given a field $K$ , an integer $n$ and an identifier $t$ , computes all irreducible polynomials over $K$ of degree $n$ in the variable $t$ (if possible).

irreducible_polynomials(Field, Integer)

Given a field $K$ and an integer $n$ , computes all irreducible polynomials over $K$ of degree $n$ (if possible).

irreducible_polynomials(Integer, Field, Integer, Identifier)

Given an integer $m$ , a field $K$ , an integer $n$ and an identifier $t$ , computes $m$ irreducible polynomials over $K$ of degree $n$ in the variable $t$ (if possible).

irreducible_polynomials(Integer, Field, Integer)

Given an integer $m$ , a field $K$ , an integer $n$ and an identifier $t$ , computes $m$ irreducible polynomials over $K$ of degree $n$ (if possible).