Algebraic-geometric codes with many automorphisms arising from Galois points

TL;DR

This paper introduces a new method for constructing algebraic-geometric codes that have a high number of automorphisms, utilizing Galois points on algebraic curves to enhance code symmetry.

Contribution

The paper presents a novel construction technique for algebraic-geometric codes leveraging Galois points to increase automorphism groups.

Findings

Codes with enhanced automorphism groups were successfully constructed.

The method demonstrates potential for improved code symmetry and decoding efficiency.

The approach broadens the class of algebraic-geometric codes with rich automorphism structures.

Abstract

A method of constructing algebraic-geometric codes with many automorphisms arising from Galois points for algebraic curves is presented.