Theorems relating characteristic equations and values of channel capac
ity of some classes of constrained sequences to other classes are pres
ented. These results provide new characteristic equations which can be
used for the calculation of channel capacity, and enable existing tab
les containing values of channel capacity for constrained sequences to
be used to find previously unknown values of capacity for other class
es of sequences. Algorithms for transforming DC-free line codes and th
eir decoders to minimum bandwidth line codes, and vice-versa, are pres
ented. These algorithms are then used to obtain two new minimum bandwi
dth line codes.