Codes on Euclidean Spheres
eBook - ePub

Codes on Euclidean Spheres

  1. 564 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Codes on Euclidean Spheres

About this book

Codes on Euclidean spheres are often referred to as spherical codes. They are of interest from mathematical, physical and engineering points of view. Mathematically the topic belongs to the realm of algebraic combinatorics, with close connections to number theory, geometry, combinatorial theory, and - of course - to algebraic coding theory. The connections to physics occur within areas like crystallography and nuclear physics. In engineering spherical codes are of central importance in connection with error-control in communication systems. In that context the use of spherical codes is often referred to as "coded modulation."The book offers a first complete treatment of the mathematical theory of codes on Euclidean spheres. Many new results are published here for the first time. Engineering applications are emphasized throughout the text. The theory is illustrated by many examples. The book also contains an extensive table of best known spherical codes in dimensions 3-24, including exact constructions.

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Yes, you can access Codes on Euclidean Spheres by T. Ericson,V. Zinoviev in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright page
  5. Preface
  6. Chapter 1: Introduction
  7. Chapter 2: The linear programming bound
  8. Chapter 3: Codes in dimension n = 3
  9. Chapter 4: Permutation codes
  10. Chapter 5: Symmetric alphabets
  11. Chapter 6: Non-symmetric alphabets
  12. Chapter 7: Polyphase codes
  13. Chapter 8: Group codes
  14. Chapter 9: Distance regular spherical codes
  15. Chapter 10: Lattices
  16. Chapter 11: Decoding
  17. Appendix A Algebraic codes and designs
  18. Appendix B Spheres in Rn
  19. Appendix C Spherical geometry
  20. Appendix D Tables
  21. Bibliography
  22. Index