Codes on Euclidean Spheres (Volume 63) (North-Holland Mathematical Library, Volume 63) - Hardcover

Hardcover

ISBN 10: 0444503293 ISBN 13: 9780444503299

Publisher: North Holland, 2001

Synopsis

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.

About this title

Review

"The book offers an almost complete and self-contained account of the current state-of-the-art within the special part of the theory. I am sure that this book will be useful and of interest both to mathematicians and to engineers, particularly to those within the field of communications." --Zentralblatt fur Mathematik

Edition details

• Publisher: North Holland
• Publication date: 2001
• Language: English
• ISBN 10: 0444503293
• ISBN 13: 9780444503299
• Binding: Hardcover
• Number of pages: 564
• Editor: Ericson T., Zinoviev V.