Vector assignment scheme for <i>M</i> + <i>N</i> users in <i>N</i> -dimensional global additive channel

Abstract

N-dimensional global vector sets are constructed from the additive combinations of N+M individual N-dimensional vector sets. The minimum Euclidean distance between vectors in the individual sets is maintained in the global set. The principal result is that users may be added to a Q-level system whenever N is a power of Q2 without decreasing the minimum distance. This finding may be applicable to synchronised multiuser communications.