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.
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.
There is a public git repository of this package, including an issue tracker, at https://github.com/frankluebeck/StandardFF.
The StandardFF package is availabe in several formats:
StandardFF-1.0.tar.gz
(GNU tar archive, gzip'ed)
StandardFF-1.0.tar.bz2
(GNU tar archive, bzip2'ed)
StandardFF-1.0-win.zip
(with DOS/Windows style line breaks in text files)
Frank Lübeck / Last modified: Wed Sep 13 19:19:42 CEST 2023 Tue, 03 Jan 2023 16:15:41 +0100