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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