Consider the binary-input, 8-ary output DMC shown in Fig. 4.6 with transition probabilities P (r | v) given by the following table: Find the minimum value of L for which the output from the list...

Consider the binary-input, 8-ary output DMC shown in Fig. 4.6 with transition probabilities P (r | v) given by the following table:

Find the minimum value of L for which the output from the list decoder is a maximum-likelihood estimate of the transmitted information sequence. (Use appropriate scaling and rounding of the metrics.)