For the (15,11) binary Hamming code with generator g(x) = x4 +x+1: Let m(x) = x + x2 + x?. Determine the code polynomial c(x) = g(x)m(x). Let m(x) = x + x2 + x?. Determine the systematic code polynomial c(x) = x= m(x) + Rg(x)[xn-km(x)], where Rg()[] computes the remainder after division by 8(x). For the (15,11) binary Hamming code with generator g(x) = x4 +x+1: Let m(x) = x + x2 + x?. Determine the code polynomial c(x) = g(x)m(x). Let m(x) = x + x2 + x?. Determine the systematic code polynomial c(x) = x= m(x) + Rg(x)[xn-km(x)], where Rg()[] computes the remainder after division by 8(x)