Latihan 2.
Tunjukkan bahwa
\begin{equation*}
s_i = w( \omega^i) = e( \omega^i) = \omega^{i a_1} + \omega^{i a_2} + \cdots + \omega^{i a_k}
\end{equation*}
untuk \(i = 1, \ldots, 2r\text{.}\) Polinomial pelacak galat didefinisikan sebagai
\begin{equation*}
s(x) = (x + \omega^{a_1})(x + \omega^{a_2}) \cdots (x + \omega^{a_k})\text{.}
\end{equation*}