Question: For the (7,4) Hamming code, specified by the generator matrix G given below, construct the 8 code words in the dual code. 1101000 0110100

For the (7,4) Hamming code, specified by the generator matrix G given below, construct the 8 code words in

For the (7,4) Hamming code, specified by the generator matrix G given below, construct the 8 code words in the dual code. 1101000 0110100 1110010 1010001 (a) Find the minimum distance of the dual code determined in part (a) above. (b) What is the error correcting capability of the above code? (c) What is the error detecting capability of the above code? d) Verify that the generator polynomial g(x) cyclic code and determine the code polynomial for the message vector in systematic form. generates a (8,5) linear (10101) in

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