Codes on Euclidean spheres [electronic resource] / Thomas Ericson, Victor Zinoviev.
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...
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| Online Access: |
Full Text (via ScienceDirect) |
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| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam ; New York :
Elsevier,
2001.
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| Edition: | 1st ed. |
| Series: | North-Holland mathematical library ;
v. 63. |
| Subjects: |
| Summary: | 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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| Physical Description: | 1 online resource (xiii, 549 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 519-540) and index. |
| ISBN: | 9780444503299 0444503293 0585473854 9780585473857 0080502164 9780080502168 |
| ISSN: | 0924-6509 ; |
| Source of Description, Etc. Note: | Print version record. |