Question: 2. Determine whether the polynomial 1+X+X3+X4 is a generator polynomial of a linear cyclic block code with code length n=7. Explain your answer. 3. Verify

2. Determine whether the polynomial 1+X+X3+X4 is a generator polynomial of a linear cyclic block code with code length n=7. Explain your answer. 3. Verify that the generator polynomial g(X)=1+X+X2+X3 generates a (8,5) linear cyclic code and determine the code polynomial for the message vector m=(10101) in systematic form
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