## 3 Experiments
### Performance Comparison
\begin{table}
\begin{tabular}{l l c c c} \hline \hline \multicolumn{1}{c}{**Method/Statistics**} & \multicolumn{1}{c}{**ROM**} & \multicolumn{1}{c}{**8 \(\times\) 32**} & \multicolumn{1}{c}{**16 \(\times\) 32**} & \multicolumn{1}{c}{**32 \(\times\) 32**} \\ \hline
1-bit\_parity & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \begin{tabular}{c} 4.88 \\ \(8.14\times 10^{-2}\) \\ \(1.59\times 10^{-2}\) \\ \end{tabular} & \
\begin{tabular}{c} 2.39 \\ \(3.13\times 10^{-2}\) \\ \(6.14\times 10^{-3}\) \\ \end{tabular} &
\begin{tabular}{c} 1.2 \\ \(1.44\times 10^{-2}\) \\ \(2.83\times 10^{-3}\) \\ \end{tabular} \\ \hline
2D\_parity & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \begin{tabular}{c} \(1.1\times 10^{-3}\) \\ \(3.78\times 10^{-4}\) \\ \(7.41\times 10^{-5}\) \\ \end{tabular} & \
\begin{tabular}{c} \(4.25\times 10^{-4}\) \\ \(2.11\times 10^{-4}\) \\ \(4.15\times 10^{-5}\) \\ \end{tabular} &
\begin{tabular}{c} \(1.66\times 10^{-4}\) \\ \(1.17\times 10^{-4}\) \\ \(2.3\times 10^{-5}\) \\ \end{tabular} \\ \hline
7-bit-ECC & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \begin{tabular}{c} \(2.12\times 10^{-4}\) \\ \(1.4\times 10^{-4}\) \\ \(2.76\times 10^{-5}\) \\ \end{tabular} & \
\begin{tabular}{c} \(2.8\times 10^{-5}\) \\ \(4.94\times 10^{-5}\) \\ \(9.68\times 10^{-6}\) \\ \end{tabular} &
\begin{tabular}{c} \(5.0\times 10^{-6}\) \\ \(2.19\times 10^{-5}\) \\ \(4.29\times 10^{-6}\) \\ \end{tabular} \\ \hline
2D-VLEDC & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \
\begin{tabular}{c} \(7.7\times 10^{-5}\) \\ \(1.4\times 10^{-4}\) \\ \(2.76\times 10^{-5}\) \\ \end{tabular} &
\begin{tabular}{c} \(2.9\times 10^{-5}\) \\ \(3.33\times 10^{-5}\) \\ \(6.53\times 10^{-6}\) \\ \end{tabular} \\ \hline
**Method/Statistics** & \begin{tabular}{c} **ROM** \\ \end{tabular} & \begin{tabular}{c} **64 \(\times\) 32** \\ \end{tabular} & \
\begin{tabular}{c} **128 \(\times\) 32** \\ \end{tabular} &
\begin{tabular}{c} **256 \(\times\) 32** \\ \end{tabular} \\ \hline
1-bit\_parity & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \begin{tabular}{c} 6.22 \(\times\) 10\({}^{-1}\) \\ \(1.91\times 10^{-3}\) \\ \end{tabular} & \
\begin{tabular}{c} \(3.35\times 10^{-1}\) \\ \(5.78\times 10^{-3}\) \\ \(1.5\times 10^{-3}\) \\ \end{tabular} &
\begin{tabular}{c} \(1.93\times 10^{-1}\) \\ \(1.36\times 10^{-3}\) \\ \(5.14\times 10^{-4}\) \\ \end{tabular} \\ \hline
2D\_parity & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \begin{tabular}{c} \(7.8\times 10^{-5}\) \\ \(1.03\times 10^{-4}\) \\ \(2.02\times 10^{-5}\) \\ \end{tabular} & \
\begin{tabular}{c} \(3.85\times 10^{-5}\) \\ \(5.26\times 10^{-5}\) \\ \(1.36\times 10^{-5}\) \\ \(1.53\times 10^{-5}\) \\ \end{tabular} &
\begin{tabular}{c} \(2.09\times 10^{-5}\) \\ \(5.14\times 10^{-5}\) \\ \(5.53\times 10^{-5}\) \\ \end{tabular} \\ \hline
7-bit-ECC & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \
\begin{tabular}{c} \(3.0\times 10^{-6}\) \\ \(1.32\times 10^{-5}\) \\ \(3.44\times 10^{-6}\) \\ \end{tabular} &
\begin{tabular}{c} \(1.92\times 10^{-6}\) \\ \(9.3\times 10^{-7}\) \\ \(6.0\times 10^{-6}\) \\ \(1.82\times 10^{-6}\) \\ \end{tabular} \\ \hline
2D-VLEDC & \begin{tabular}{c} Average \\ StdDev \\ Margin of Error \\ \end{tabular} & \begin{tabular}{c} \(1.3\times 10^{-5}\) \\ \(5.8\times 10^{-5}\) \\ \(1.13\times 10^{-5}\) \\ \end{tabular} & \
\begin{tabular}{c} \(7.01\times 10^{-6}\) \\ \(5.29\times 10^{-5}\) \\ \(1.52\times 10^{-5}\) \\ \(4.55\times 10^{-6}\) \\ \end{tabular} &
\begin{tabular}{c} \(2.32\times 10^{-6}\) \\ \(5.29\times 10^{-5}\) \\ \(1.52\times 10^{-5}\) \\ \(4.55\times 10^{-6}\) \\ \end{tabular} \\ \hline \hline \end{tabular}
\end{table} 
Table 3: The comparison of the overhead of redundant bits. ROM (Read only memory); UDR (Un-Detected error Rate); StdDev (Standard Deviation). Figure 8: The comparison of error coverage performance.