Abstract:
We find conditions ensuring the nonexistence of equivalent states for the filter generator consisting of a shift register with a reducible characteristic polynomial over residue ring (Galois ring) and a filter function. An algorithm for recovering the maximum period LRS over residue ring by the linear combination of polynomials of the highest coordinate sequence symbols is suggested. The review of previous results is given.
Key words:linear recurrent sequences over residue rings, coordinate sequences, filtering of linear recurrences.