Determine the syndrome polynomial sx for this received word, Project Management

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Determine the syndrome polynomial sx for this received word

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

176_Equation 04.jpg

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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Project Management: Determine the syndrome polynomial sx for this received word

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