The noisy-channel coding theorem states that any error probability can be achieved as long as the transmission rate stays below the capacity of the channel. However, as we go to the more efficient codings, there's also an increase in the blocklenght needed.
So my question is: Is there a way of precisely stating this trade-off?
Say. With the desired error probability and the desired transmission rate. Could you evaluate exactly what's the minimum blocklenght needed for the coding?
Please correct me if any of my assumptions are false.