\begin{document}$ 0.05\lesssim x_{\rm K} \lesssim 0.85 $\end{document} and \begin{document}$ Q^2 $\end{document} up to 50 GeV\begin{document}$ ^2 $\end{document}, with the acceptable statistical uncertainties. In the relatively low-\begin{document}$ Q^2 $\end{document} region (\begin{document}$ <10 $\end{document} GeV\begin{document}$ ^2 $\end{document}), the Monte-Carlo simulation shows a good statistical precision (\begin{document}$ <5 $\end{document}%) for the measurement of the kaon structure function \begin{document}$ F_2^{\rm K} $\end{document}. In the high-\begin{document}$ Q^2 $\end{document} region (up to 50 GeV\begin{document}$ ^2 $\end{document}), the statistical uncertainty of \begin{document}$ F_2^{\rm K} $\end{document} is also acceptable (\begin{document}$ <10 $\end{document}%) for the data at \begin{document}$ x_{\rm K}<0.8 $\end{document}. To perform such an experiment at an electron-ion collider, a high-performance zero-degree calorimeter is suggested. The magnitude of the background process and the assumed detector capabilities are also discussed and illustrated in the paper."> Tackling the kaon structure function at EicC -
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