A natural graph of finite fields distinguishing between models

TL;DR

This paper introduces a graph structure linked to finite fields that uniquely differentiates between various models of isomorphic fields, providing a new tool for understanding finite field structures.

Contribution

The paper presents a novel graph construction that distinguishes between models of isomorphic finite fields, advancing the understanding of finite field representations.

Findings

The graph structure effectively differentiates between models of isomorphic finite fields.

The approach offers a new perspective on finite field isomorphisms.

Potential applications in finite field theory and cryptography.

Abstract

We define a graph structure associated in a natural way to finite fields that nevertheless distinguishes between different models of isomorphic fields.