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

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

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

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