On the classification of self-dual $\mathbb{Z}_k$-codes II

TL;DR

This paper classifies self-dual rac{}Z_k-codes of small length and modulus, providing a comprehensive catalog for k up to 24 and length up to 9.

Contribution

It offers the first complete classification of self-dual rac{}Z_k-codes for these parameters, expanding understanding of their structure.

Findings

Complete classification for k  24 and n  9

Identification of new self-dual codes within these parameters

Structural properties of classified codes

Abstract

In this short note, we report the classification of self-dual $\mathbb{Z}_k$-codes of length $n$ for $k \le 24$ and $n \le 9$.