In a two-stage coding system, the first stage provides (7, 4) coding while the second stage supports (11, 7) coding. Is it better to have such a two-stage coding scheme as compared to a single-stage (11, 4) complex coding? Explain your answer in terms of the algorithmic complexity and error correcting capabilities.

What will be an ideal response?


The two-stage coding system is equivalent to the single-stage coding in terms of
algorithm complexity and error-correcting capabilities. For algorithm
complexity, there are 3 XOR operations in the (4, 7) coding and 4 XOR
operation in the (7, 11) coding. Hence, there are total 7 XOR operations in the
two-stage coding system which is same as single-stage coding system. The
error-correcting capabilities of two-stage and single-stage coding should be
same, since only single bit error can be corrected in these two systems.

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