# A Geometric Approach to Rank Metric Codes and a Classification of Constant Weight Codes

## TL;DR

This paper introduces a geometric framework for analyzing rank metric codes, simplifies the definition of generalized rank weight, and provides a complete classification and weight characterization of constant rank weight codes.

## Contribution

It presents a novel geometric approach to rank metric codes, offering simplified definitions and a comprehensive classification of constant rank weight codes.

## Key findings

- Complete classification of constant rank weight codes
- Simplified definition of generalized rank weight
- Determination of generalized rank weights for classified codes

## Abstract

In this work we develop a geometric approach to the study of rank metric codes. Using this method, we introduce a simpler definition for generalized rank weight of linear codes. We give a complete classification of constant rank weight code and we give their generalized rank weights.