Given a code with the parity check matrix:
a. Write down the generator matrix G. b. Obtain all the
codewords and determine weight structure and the Hamming distance. Determine
the minimum Hamming distance. How many errors can this code detect and/or
correct? Can this code be used for simultaneous detection and correction? c.
Determine the minimum Hamming distance using only the H matrix. d. Construct
the syndrome table for this code. e. Decode the received sequence 0111010.
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