Group codes for theM-receiver Gaussian broadcast channel (Corresp.)

The
M
-receiver Gaussian broadcast channel is a communication system in which a single codeword is transmitted over
M
distinct Gaussian channels and is received by
M
receivers. The receivers have no contact with each other and the channels have different signal-to-noise ratios. The purpose of this correspondence is to define the concept of group code for the
M
-receiver Gaussian broadcast channel and study permutation codes as a special case. Such a code is generated by an initial vector
x
, a group
G
of orthogonal
n
-by-
n
matrices, and a sequence of subgroups of
G
.