Standard Generators of Finite Fields and their Cyclic Subgroups

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.

The second version is a simplification, taking discussions on first version into account. (The "standardized" polynomials are different compared to the first version.)

Cited by in corpus (2)

• On Matrix Algebras Isomorphic to Finite Fields and Planar Dembowski-Ostrom Monomials
• Combinatorial Relationship Between Finite Fields and Fixed Points of Functions Going Up and Down