ENGLISH

Codes on Euclidean spheres

By T. Ericson , V. Zinoviev

Book information

Publisher
Elsevier
Year
2001
ISBN
0444503293, 9780444503299, 9780585473857
ISSN
0924-6509
Open Library ID
OL17022109M
Language
english
Format
DJVU
Filesize
3 MB (2781680 bytes)
Series
North-Holland mathematical library 63
Edition
1st ed
Pages
564\564
Topic
Computers
Library
kolxoz
DPI
300
Time added
2009-07-20 03:45:11

Description

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."br>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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