On the Classification of Extremal Doubly Even Self-Dual Codes with 2-Transitive Automorphism Group

TL;DR

This paper completes the classification of extremal doubly even self-dual codes that possess 2-transitive automorphism groups, advancing understanding in algebraic coding theory.

Contribution

It finalizes the classification of a specific class of self-dual codes with symmetrical automorphism groups, filling a key gap in the literature.

Findings

Complete classification achieved

Identification of all extremal codes with 2-transitive automorphism groups

Enhanced understanding of code symmetry properties

Abstract

In this note, we complete the classification of extremal doubly even self-dual codes with 2-transitive automorphism groups.