{PDF} Error-free coding Elias, Peter

Some simple constructive procedures are given for coding sequences of symbols to
be transmitted over noisy channels. A message encoded by such a process transmits
a positive amount of information over the channel, with an error probability which the
receiver may set to be as small as it pleases, without consulting the transmitter. The
amount of information transmitted is less than the channel capacity, so the procedures
are not ideal, but they are quite efficient for small error probabilities. It is shown that
there exist codes of the same error-free character which transmit information at rates
arbitrarily near the channel capacity