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5.1 One version of the H matrix for the (7,4) Hamming code can be created by listing as its columns all of the nonzero

 

5.1 One version of the H matrix for the (7,4) Hamming code can be created by listing as its columns all of the nonzero 3-vectors: H 1 = 0 0 H 0 1 1 1 0 0 1 Draw the Tanner graph for this code and identify all cycles. Repeat for the cyclic version of the (7,4) Hamming code whose generator matrix is given by g(x) = (1 + x + x) and whose H matrix is 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1

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