Classification of ternary maximal self-orthogonal codes of length 25

TL;DR

This paper completes the classification of ternary maximal self-orthogonal codes for length 25, extending previous classifications up to length 24.

Contribution

It provides the first complete classification of these codes specifically for length 25, filling a gap in the existing literature.

Findings

Classified all ternary maximal self-orthogonal codes of length 25

Extended the known classification from length 24 to 25

Contributed to the understanding of code structures at length 25

Abstract

Ternary maximal self-orthogonal codes have been classified for lengths up to $24$. In this note, we provide a complete classification of ternary maximal self-orthogonal codes of length $25$.