Question: A (6, 3) parity-check code is defined by the following equations: c1 c3 c4 = 0 c1 c2 c3 c5 = 0 c1 c2 c6

A (6, 3) parity-check code is defined by the following equations:

c1 c3 c4 = 0 c1 c2 c3 c5 = 0 c1 c2 c6 = 0

a. Determine the parity-check matrix H.

b. Determine the generator matrix G.

c. List all valid codewords.

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