Develop the encoder and syndrome calculator for the code

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Reference no: EM131282727

1. The generator polynomial of a (15,11) Hamming code is defined by

611_Equation 03.jpg

Develop the encoder and syndrome calculator for this code, using a systematic form for the code

2. Consider the (15,4) maximal-length code that is the dual of the (15,11) Hamming code of Problem.

Find the generator polynomial g(X); hence, determine the output sequence assuming the initial state 0001. Confirm the validity of your result by cycling the initial state through the encoder.

Reference no: EM131282727

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