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A (7, 4) error correcting Hamming code is designed with a generator matrix, G = ...

A (7, 4) error correcting Hamming code is designed with a generator matrix, G =   1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 1   . (1) a) (10 points) Determine the code word for the message, 0110. b) (10 points) Determine the code word for the message, 1100. c) (9 points) Determine the syndrome vector for the received word, 0111011. d) (1 point) Correct the received word, 0111011. e) (9 points) Determine the syndrome vector for the received word, 1100111. f) (1 point) Correct the received word, 1100111.

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