Cameron-Liebler line classes in ${\rm PG}(3,5)$

TL;DR

This paper classifies Cameron-Liebler line classes in PG(3,5) and establishes non-existence results for these classes in PG(3,q) for q ≤ 5, providing a comprehensive understanding of their structure.

Contribution

It completes the classification of Cameron-Liebler line classes in PG(3,5) and uniformly proves non-existence results for PG(3,q) with q ≤ 5.

Findings

Complete classification of Cameron-Liebler line classes in PG(3,5)

Non-existence results for PG(3,q) with q ≤ 5

Unified approach to non-existence proofs

Abstract

We complete a classification of Cameron-Liebler line classes in ${\rm PG}(3,5)$, and show in a uniform way all non-existence results for those in ${\rm PG}(3,q)$, $q\leq 5$.