Standard Generators of Finite Fields and their Cyclic Subgroups
Commutative Algebra
2023-08-22 v2 Representation Theory
Abstract
We define standardized constructions of finite fields, and standardized generators of (multiplicative) cyclic subgroups in these fields. The motivation is to provide a substitute for Conway polynomials which can be used by various software packages and in collections of mathematical data which involve finite fields.
Cite
@article{arxiv.2107.02257,
title = {Standard Generators of Finite Fields and their Cyclic Subgroups},
author = {Frank Lübeck},
journal= {arXiv preprint arXiv:2107.02257},
year = {2023}
}
Comments
The second version is a simplification, taking discussions on first version into account. (The "standardized" polynomials are different compared to the first version.)