Notes on Coding Theory

"Notes on Coding Theory" -- J.I. Hall These notes are not intended for broad distribution. If you want to use them in any way, please contact me. Various typos and mistakes have been corrected. Title Page; Preface; Table of Contents (in .pdf) Chapter 1. Introduction (in .pdf) Chapter 2. Sphere Packing and Shannon's Theorem (in .pdf) Chapter 3. Linear Codes (in .pdf) Chapter 4. Hamming Codes (in .pdf) Chapter 5. Generalized Reed-Solomon Codes (in .pdf) Chapter 6. Modifying Codes (in .pdf) Chapter 7. Codes over Subfields (in .pdf) Chapter 8. Cyclic Codes (in .pdf) Chapter 9. Weight and Distance Enumeration (in .pdf) Algebra Appendix Introduction (in .pdf) Chapter A.1. Basic Algebra (in .pdf) Chapter A.2. Polynomials Algebra over Fields (in .pdf) Chapter A.3. Special Topics (in .pdf) Copyright (c) 2001-2015 Jonathan I. Hall Last Revised: 7 January 2015