Question: 2. (a) Consider the ternary code C = {00000001, 12121001, 21212000, 11001222}. Find the greatest number of errors that C can correct. [6 marks]

2. (a) Consider the ternary code C = {00000001, 12121001, 21212000, 11001222}.

2. (a) Consider the ternary code C = {00000001, 12121001, 21212000, 11001222}. Find the greatest number of errors that C can correct. [6 marks] (b) Suppose C is a linear code and suppose d(C) is odd. Suppose ec is the greatest number of errors that C can correct and so is the greatest number of errors that C can detect. Then, prove that 2 1+(c + sc) = wt(C) [10 marks]

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