# Regular pseudo-hyperovals and regular pseudo-ovals in even characteristic

## TL;DR

This paper provides an alternative proof and improved results on the characterization of regular pseudo-ovals in projective spaces over fields of even characteristic, specifically for PG(3n - 1, q) with q a power of 2.

## Contribution

It offers a new proof and stronger results regarding the structure of regular pseudo-ovals in even characteristic projective spaces.

## Key findings

- Alternative proof of regular pseudo-oval characterization
- Stronger results on pseudo-oval structure
- Applicable to PG(3n - 1, q) with q=2^h, h>1

## Abstract

S. Rottey and G. Van de Voorde characterized regular pseudo-ovals of PG(3n - 1, q), q = 2^h, h >1 and n prime. Here an alternative proof is given and slightly stronger results are obtained.