  We analyze whether a multidimensional parity check (MDPC) or a Reed-Solomon
(RS) code in combination with an auxiliary channel can improve the throughput
and extend the THz transmission distance. While channel quality is addressed by
various coding approaches, and an effective THz system configuration is enabled
by other approaches with additional channels, their combination is new with the
potential for significant improvements in quality of the data transmission. Our
specific solution is designed to correct data bits at the physical layer by
using a low complexity erasure code (MDPC or RS), whereby original and parity
data are transferred over two separate and parallel THz channels, including one
main channel and one additional channel. The results are theoretically analyzed
to see that our new solution can improve throughput, support higher modulation
levels and transfer data over the longer distances with THz communications.
