An Introduction to Algebraic and Combinatorial Coding Theory
eBook - PDF

An Introduction to Algebraic and Combinatorial Coding Theory

  1. 242 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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.

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Yes, you can access An Introduction to Algebraic and Combinatorial Coding Theory by Ian F. Blake,Ronald C. Mullin in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. An Introduction to Algebraic and Combinatorial Coding Theory
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. PREFACE TO THE ORIGINAL EDITION
  7. ACKNOWLEDGMENTS
  8. Chapter 1. Finite Fields and Coding Theory
  9. Chapter 2. Combinatorial Constructions and Coding
  10. Chapter 3. Coding and Combinatorics
  11. Appendix A: The Möbius Inversion Formula
  12. Appendix B: Lucas's Theorem
  13. Appendix C: The Mathieu Groups
  14. References
  15. Index