On the existence of group codes for the Gaussian channel
E. Biglieri, Michele Elia · IEEE Transactions on Information Theory · 1972
A number of theorems are given, which give insight into the algebraic structure of group codes for the Gaussian channel, as defined by Slepian. The problem of the existence of group codes for a given pair of defining parameters (i.e., number of codewordsM, and dimension of the signal spacen) is partially solved.