A system with one or more base stations is described having an outer code
encoder to generate an outer code based, at least in part, on a plurality
of data elements using an (N,K) Reed-Solomon (RS) code over FG(2.sup.m).
N represents the length of the RS code, K the length of a message, and m
the length of a symbol. The system includes an inner code encoder to
generate an inner code based, at least partly, on the outer code using a
(m+1, m) parity-check code. The system includes a radio frequency
transmitter to transmit a signal based, at least in part, on the inner
code and includes a plurality of customer premises equipment (CPE)
stations. The CPE stations have a radio frequency receiver to receive the
signal and a decoder to decode at least a portion of the data elements
based, at least partly, on the received signal.