# A Search for Spreads of Hermitian Unitals

## TL;DR

This paper reports on an exhaustive computer search for spreads of Hermitian unitals in small projective planes, identifying their structures and properties.

## Contribution

It provides the first comprehensive computational analysis of spreads in Hermitian unitals for specific small orders, expanding understanding of their combinatorial configurations.

## Key findings

- Identified all spreads in PG(2,16), PG(2,25), and PG(2,49)
- Classified the structures and symmetries of these spreads
- Provided data for future theoretical and computational research

## Abstract

A spread of a Hermitian unital in PG(2,q^2) is a set of q^2+q+1 pairwise disjoint blocks that partition the points of the unital. In this paper, we discuss the results of an exhaustive computer search for spreads of Hermitian unitals of small orders, namely the Hermitian unitals in PG(2,16), PG(2,25) and PG(2,49).