Question: Construct a systematic ( 7 , 4 ) cyclic code using the generator polynomial g ( x ) = x 3 + x + 1

Construct a systematic (7,4) cyclic code using the generator polynomial g(x)=x3+ x +1.1. What are the error correcting capabilities of this code? 2. If the data word is 1101, determine the transmitted codeword.

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