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Transpose of a Matrix

In a 7,4 line...

Question

In a (7,4) linear block code(4 message bits), with syndrome decoding, the number of different error patterns associated with each syndrome is _________
16

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Solution

The correct option is A 16
In a (n, k) linear block code, with syndrome decoding, each syndrome is associated with $2^{k}$ different error patterns.
So the required answer is $2^{k} = 2^{4} = 16$

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