In particular various constructions involving the principle of generalized concatenation using binary outer codes have been investigated in detail. Several best known codes have been produced in this way. The project was carried further during Dr Zinoviev's visit. Several new constructions were investigated and many new codes were produced. In particular the relation between lattices and spherical codes was investigated.
Lattices Closely related to spherical codes is the concept of lattices.
In communication theory lattices are employed in cases where the power constraint has the form of an upper bound on the allowed energy. The lattice describes the code structure within the allowed sphere. Lattices can be described in many different ways. Anders Enqvist studies lattices described in terms of algebraic number fields. Several of the best known lattices can be described in this way.