# A Short Note on Self-Duality of Goppa Codes on Elliptic and Hyperelliptic Function Fields

## TL;DR

This paper explores the self-duality properties of Goppa codes constructed from elliptic and hyperelliptic function fields, providing a simple criterion for their self-duality.

## Contribution

It introduces a straightforward criterion for determining the self-duality of Goppa codes derived from elliptic and hyperelliptic function fields.

## Key findings

- Derived a simple criterion for self-duality of these codes
- Analyzed Goppa codes on elliptic and hyperelliptic function fields
- Provided insights into the structure of these codes

## Abstract

In this note, we investigate Goppa codes which are constructed by means of Elliptic function field and Hyperelliptic function field. We also give a simple criterion for self-duality of these codes.