Consider the following (k+ k) systematic linear block code with the parity check digit Ck+1 given...

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Consider the following (k+ k) systematic linear block code with the parity check digit Ck+1 given by Ck+1 = (a) Construct the appropriate generator matrix for this code. (b) Construct the code generated by this matrix for k= 3 and do + d₁ + (c) Determine the error detecting or correcting capabilities of this code. (d) Show that THT ... + dk-1 -1 CHT = 0 if no error occurs if single error occurs Consider the following (k+ k) systematic linear block code with the parity check digit Ck+1 given by Ck+1 = (a) Construct the appropriate generator matrix for this code. (b) Construct the code generated by this matrix for k= 3 and do + d₁ + (c) Determine the error detecting or correcting capabilities of this code. (d) Show that THT ... + dk-1 -1 CHT = 0 if no error occurs if single error occurs