Question: The polynomial 1 + X 7 has 1 + X + X 3 and 1 + X 2 + X 3 as primitive factors. In
The polynomial 1 + X7 has 1 + X + X3 and 1 + X2 + X3 as primitive factors. In Example 10.3, we used 1 + X + X3 as the generator polynomial for a (7,4)1-lamming code. In this problem, we consider the adoption of 1 + X2 + X3 as the generator polynomial. This should lead to a (7, 4) Hamming code that is different from the code analyzed in Example 10.3. Develop the encoder and syndrome calculator for the generator polynomial: g(X) = 1 + X2 + X3 compare your results with those in Example 10.3.
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Consider the generator polynomial gx 1 x x The encoder corresponding to this gX is as follows Flipfl... View full answer
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