Question: The (15, 7) code generated by g(X) = 1 +X+X + X + X8 is a double error correcting code. 1. Construct a table

The (15, 7) code generated by g(X) = 1 +X+X + X

 

The (15, 7) code generated by g(X) = 1 +X+X + X + X8 is a double error correcting code. 1. Construct a table showing the syndromes of the error patterns 0, 1, 1+ X, 1+ X2,...,1+X14 2. Decode the received word 1+X+X + X6 + X10 + X11 3. Decode the received word X + X + X + X7 + X8 + X9 + X

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