Question: Write down a parity-check matrix H for a binary Hamming code of length 15, where the j th column of H is the binary representation

Write down a parity-check matrix H for a binary Hamming code of length 15, where the j th column of H is the binary representation of j . Then use H to construct a syndrome look-up table and use it to decode the following words: (a) 01010 01010 01000, (b) 11100 01110 00111, (c) 11001 11001 11000.

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