Consider the (7,4) Hamming code defined by the generator polynomial The codeword 0111001 is sent…

Consider the (7,4) Hamming code defined by the generator polynomial

The codeword 0111001 is sent over a noisy channel, producing the received word 0101001 that has a single error. Determine the syndrome polynomial s(X) for this received word, and show that it is identical to the error polynomial e(X).

 

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