Given the generator matrix G= 1 0 0 0 0 1 1 1 0 0 1...

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Given the generator matrix G= 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 corresponding to the encoding function e: B¹ → B7, find the corresponding parity check matrix and use it to decode the following received words and hence, to find the original message: 1101001, 1101000, 1001000, 1111111. Given the generator matrix G= 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 corresponding to the encoding function e: B¹ → B7, find the corresponding parity check matrix and use it to decode the following received words and hence, to find the original message: 1101001, 1101000, 1001000, 1111111.