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(a) Show that the dual code of cyclic code is also a cyclic code! (b) Find the corresponding generator polynomials of {(x0,x1,,xn1):xiinF5,x0+x1++xn1=0)}

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(a) Show that the dual code of cyclic code is also a cyclic code! (b) Find the corresponding generator polynomials of {(x0,x1,,xn1):xiinF5,x0+x1++xn1=0)}

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