The set of all error-correcting codes C over a fixed finite alphabet F of
cardinality q determines the set of code points in the unit square with
coordinates (R(C), delta (C)):= (relative transmission rate, relative minimal
distance). The central problem of the theory of such codes consists in
maximizing simultaneously the transmission rate of the code and the relative
minimum Hamming distance between two different code words. The classical
approach to this problem explored in vast literature consists in the inventing
explicit constructions of "good codes" and comparing new classes of codes with
earlier ones. Less classical approach studies the geometry of the whole set of
code points (R,delta) (with q fixed), at first independently of its
computability properties, and only afterwords turning to the problems of
computability, analogies with statistical physics etc. The main purpose of this
article consists in extending this latter strategy to domain of spherical
codes.Comment: 34 pages amstex, 3 figure
