Consider the (7, 4) Hamming code defined by the generator polynomial g(X) = 1 + X +
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Consider the (7, 4) Hamming code defined by the generator polynomial g(X) = 1 + X + X3 the code word 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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The error polynomial is We are given eX nX cX The error polynomial is therefore cX X ...View the full answer
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