Question 4 [12 marks].
Consider the code $C = \{000, 010, 101, 110\}$ over the alphabet $A = \{0, 1\}$. Construct a
nearest-neighbour decoding process for $C$ and compute the word error probability for
the word 110 assuming that the symbol error probability $p$ is equal to $\frac{1}{7}$. Show all your
working.
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