# Two classes of linear codes and their generalized Hamming weights

## TL;DR

This paper studies the generalized Hamming weights of two specific classes of linear codes, providing a complete determination using a number-theoretic approach, which advances understanding of their structural properties.

## Contribution

It introduces a novel method employing number theory to fully determine the GHWs of these linear codes, filling a gap in existing literature.

## Key findings

- Complete determination of GHWs for the two code classes
- Application of number-theoretic techniques to code analysis
- Enhanced understanding of code structure and parameters

## Abstract

The generalized Hamming weights (GHWs) are fundamental parameters of linear codes. In this paper, we investigate the generalized Hamming weights of two classes of linear codes constructed from defining sets and determine them completely employing a number-theoretic approach.