# Steane-Enlargement of Quantum Codes from the Hermitian Curve

## TL;DR

This paper explores the enhancement of quantum codes derived from Hermitian curves using Steane-enlargement, providing explicit constructions that outperform comparable existing codes.

## Contribution

It introduces new quantum code constructions via Steane-enlargement of Hermitian codes, including both one-point and order bound improved codes, with explicit parameter formulas.

## Key findings

- Constructed quantum codes with improved parameters
- Provided explicit formulae for code parameters
- Codes outperform existing comparable constructions

## Abstract

In this paper, we study the construction of quantum codes by applying Steane-enlargement to codes from the Hermitian curve. We cover Steane-enlargement of both usual one-point Hermitian codes and of order bound improved Hermitian codes. In particular, the paper contains two constructions of quantum codes whose parameters are described by explicit formulae, and we show that these codes compare favourably to existing, comparable constructions in the literature.