Codes on Euclidean Spheres
- 1st Edition, Volume 63 - April 27, 2001
- Imprint: North Holland
- Editors: T. Ericson, V. Zinoviev
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 5 0 3 2 9 - 9
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 5 1 7 6 - 4
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 0 2 1 6 - 8
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 be… Read more
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Request a sales quoteCodes 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.
1. Introduction
2. The linear programming bound
3. Codes in dimension n=3
4. Permutation codes
5. Symmetric alphabets
6. Non-symmetric alphabets
7. Polyphase codes
8. Group codes
9. Distance regular spherical codes
10. Lattices
11. Decodin
Appendix:
A Algebraic codes and designs
B Spheres in R n
C Spherical geometry
D Tables
- Edition: 1
- Volume: 63
- Published: April 27, 2001
- No. of pages (eBook): 564
- Imprint: North Holland
- Language: English
- Hardback ISBN: 9780444503299
- Paperback ISBN: 9780444551764
- eBook ISBN: 9780080502168
TE
T. Ericson
Affiliations and expertise
Linköping University, Department of Electrical Engineering, Linköping, SwedenVZ
V. Zinoviev
Affiliations and expertise
Institute for Problems of Information Transmission, Moscow, RussiaRead Codes on Euclidean Spheres on ScienceDirect