Concatenated Codes of Automaton States

It is shown that Reed–Solomon states of suitable dimension are automaton state codes; i.e., they simultaneously possess both noise-stable and antiracing properties. If they are employed as external codes in constructing concatenated codes, and when the internal codes are specially chosen, we also obtain automaton state codes for which the transmission rate remains bounded from below with increasing length and constant correction capacity. New specific automaton state codes are set up. The results are strengthened upon changing over to assignments of input states.