Let s(X) denote the syndrome corresponding to error sequence e(X) in an (n, k) cyclic code with…

Let s(X) denote the syndrome corresponding to error sequence e(X) in an (n, k) cyclic code with generator polynomial g(X). Show that the syndrome corresponding to e(1)(X), the right cyclic shift of e(X), is s(1)(X), defined by

 

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