GAP package StandardFF

Author: Frank Lübeck
Needs: GAP in version at least 4.12.;
  GAPDoc in version at least 1.6 for accessing the documentation.
Operating systems: Any, on which GAP is running.
Current version: 1.0 (released 13/09/2023)
License for distribution: GPL-3.0 or later
Machine readable meta-data: PackageInfo.g
Contact: Frank.Luebeck@Math.RWTH-Aachen.De
Download: See below for archives in several formats.
History: This text file CHANGES describes the most important differences to former versions of the package.


The purpose of this package is to provide a standardized, reproducible, construction of the algebraic closure K of each finite prime field GF(p). It also implements the construction of standardized generators of any given order of subgroups of the multiplicative group of K.

The package contains some utility functions: embeddings of GAP's fields GF(q) which are defined via Conway polynomials, rewriting of Brauer character values, discrete logarithms in finite fields, irreducibility test and minimal polynomials over finite fields.

The constructions implemented here are described and defined in this article (a preprint version is on arXiv).


Just unpack one of the archives below in one of your GAP package directories.

Online Documentation

Here is the documentation of the StandardFF package in several output formats. If you have installed the package as described above you can also access all of these documents from the GAP online help.

Repository and feedback

There is a public git repository of this package, including an issue tracker, at

Package Archives for Download

The StandardFF package is availabe in several formats:

Frank Lübeck / Last modified: Wed Sep 13 19:19:42 CEST 2023 Tue, 03 Jan 2023 16:15:41 +0100