Question: (a) Construct a systematic (7,4) cyclic code using the generator polynomial g(x) = x3 +x +1. (b) What are the error correcting capabilities of this

(a) Construct a systematic (7,4) cyclic code using the generator polynomial g(x) = x3 +x +1. (b) What are the error correcting capabilities of this code? (c) Construct the decoding table. (d) If the received word is 1101100, determine the transmitted data word.

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