Question: Let n =7 and let C be the linear cyclic code generated by the polynomial g(x) = 1+ x + x2 + x4. (a) Find

Let n =7 and let C be the linear cyclic code generated by the polynomial g(x) = 1+ x + x2 + x4. (a) Find all the codewords in C. (b)The word v = 1110100 was sent through three different channels and received as: wl = 1110111 ; w2 = 1110001 ; and w3 1110011. Decode the three received word to detect which is the correct channel?

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