Write the parity-check matrix and the generator matrix for a (15, 11) single error-correcting code. Assume that

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Write the parity-check matrix and the generator matrix for a (15, 11) single error-correcting code. Assume that the code is systematic. Calculate the code word corresponding to the all-ones information sequence. Calculate the syndrome corresponding to an error in the third position assuming the code word corresponding to the all-ones input sequence.

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