3. The mapping between messages and codewords of an (n,k) block code is given as Messages Codewords Messages Codewords 000 0000000 100 1110100 001 1101001 101 0011101 010 1011010 110 0101110 011 0110011 111 1000111 (a) Determine the values of n and k. (b) Determine the generator matrix G and the parity check H. (c) Determine the error-correcting capability of this code.
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From the given mapping, we can see that the messages have 3 bits each (000, 001, 010, 100, 101, 110), and the codewords have 7 bits each (0000000, 1110100, 1101001, 0011101, 1011010, 0101110, 1000111, 011, 0110011, 111). Show more…
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