LinCode -- computer classification of linear codes

TL;DR

This paper introduces a new algorithm for classifying linear codes over finite fields using lattice point enumeration, validated against existing results and extended to larger parameter ranges.

Contribution

The paper presents a novel algorithm for linear code classification that improves upon existing methods and extends classification results to larger parameter spaces.

Findings

Validated the algorithm with known classifications

Extended classifications to larger parameter ranges

Demonstrated the algorithm's effectiveness

Abstract

We present an algorithm for the classification of linear codes over finite fields, based on lattice point enumeration. We validate a correct implementation of our algorithm with known classification results from the literature, which we partially extend to larger ranges of parameters.