# On schurian fusions of the association scheme of a Galois affine plane of prime order

## TL;DR

This paper completely classifies the schurian fusions of the association scheme derived from a Galois affine plane of prime order, providing a full understanding of their structure.

## Contribution

It offers a complete classification of schurian fusions for the association scheme of a Galois affine plane of prime order, a previously unresolved problem.

## Key findings

- All schurian fusions are explicitly identified.
- The classification applies specifically to prime order Galois affine planes.
- The results enhance understanding of association schemes in finite geometry.

## Abstract

The schurian fusions of the association scheme of a Galois affine plane of prime order are completely identified.