
An Introduction to Algebraic and Combinatorial Coding Theory
- 242 pages
- English
- PDF
- Available on iOS & Android
An Introduction to Algebraic and Combinatorial Coding Theory
About this book
An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups. The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Front Cover
- An Introduction to Algebraic and Combinatorial Coding Theory
- Copyright Page
- Table of Contents
- PREFACE
- PREFACE TO THE ORIGINAL EDITION
- ACKNOWLEDGMENTS
- Chapter 1. Finite Fields and Coding Theory
- Chapter 2. Combinatorial Constructions and Coding
- Chapter 3. Coding and Combinatorics
- Appendix A: The Möbius Inversion Formula
- Appendix B: Lucas's Theorem
- Appendix C: The Mathieu Groups
- References
- Index