A Double-Error Correcting Code (UMAP)

A unit that involves linear algebra and a double-error correcting code. The purpose of this module is to: 1) show students a brief non-technical introduction to applied algebra; and 2) provide motivation for students to learn abstract algebra.

Table of Contents:

1. INTRODUCTION

2. THE PROBLEM

3. CODEWORDS AS VECTORS

4. A SINGLE-ERROR CORRECTING CODE

5. A DOUBLE-ERROR CORRECTING CODE

6. PROBLEM SOLUTIONS

7. MODEL EXAM

9. MODEL EXAM SOLUTIONS