Find generator and parity check matrices for the dual of the (7, 4) Hamming code in Example 3 71 The even parity code E n is the subset of Z n 2 consisting of all vectors with even weight The n times repetition code Rep n is the subset of Z n 2 consisting of just the two vectors 0 and 1 (all zeros and all 1s, respectively)

Question: Find generator and parity check matrices for the dual of the (7, 4) Hamming code in Example 3.71. The even parity code E n is

Find generator and parity check matrices for the dual of the (7, 4) Hamming code in Example 3.71.

The even parity code E_n is the subset of Zⁿ₂ consisting of all vectors with even weight. The n-times repetition code Rep_n is the subset of Zⁿ₂consisting of just the two vectors 0 and 1 (all zeros and all 1s, respectively).

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