Question: (c) Consider the (7, 4) Hamming Code defined by the generator polynomial g(x)-1 +x+x'. The code word 1000101 is sent over a noisy channel, producing

(c) Consider the (7, 4) Hamming Code defined by the generator polynomial g(x)-1 +x+x'. The code word 1000101 is sent over a noisy channel, producing the received word 0000101 that has a single error. Determine the syndrome polynomial s(x) for this received word. Find its corresponding message vector m and express m in polynomial m(x). 0

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