## 4 Experimental Results and Analysis
### Encryption Results
\begin{table}
\begin{tabular}{c c c c c c} \hline
**\(m\)th Round** & **(\(\mathbf{r_{0}}\), \(\mathbf{x_{0}}\))** & **(\(\mathbf{r_{0}}\), \(\mathbf{y_{0}}\))** & \(S_{A}\) & \(1 DS_{A}1\) & **Size (KB)** & \(C_{R}\) \\ \hline
1 & (3.6694297, 0.82) & (3.6036054, 0.56) & 267,144,464.1 & 134,060,085.9 & 1759 & 3.239 \\
2 & (3.9720618, 0.63) & (3.8118391, 0.31) & 300,969,521.6 & 100,235,028.4 & 1529 & 2.682 \\
3 & (3.9982823, 0.61) & (3.6946723, 0.56) & 329,305,875.0 & 71,898,675.0 & 1641 & 2.634 \\
4 & (3.6911029, 0.24) & (3.7563811, 0.84) & 359,120,512.9 & 42,084,037.1 & 1764 & 2.602 \\
5 & (3.6761227, 0.71) & (3.9535386, 0.56) & 393,026,254.4 & 8,178,295.6 & 1850 & 2.531 \\
6 & (3.6468789, 0.54) & (3.7460818, 0.2) & 427,592,398.5 & 26,387,848.5 & 1946 & 2.485 \\
7 & (3.9889696, 0.77) & (3.7643806, 0.9) & 464,150,752.2 & 62,946,202.2 & 2074 & 2.474 \\
8 & (3.766660, 0.74) & (3.7904553, 0.39) & 511,483,888.6 & 110,279,338.6 & 2172 & 2.435 \\
9 & (3.9793047, 0.27) & (3.7826054, 0.06) & 550,795,418.0 & 149,590,868.0 & 2253 & 2.392 \\
10 & (3.8921841, 0.88) & (3.8734612, 0.19) & 604,312,707.5 & 203,108,157.5 & 2373 & 2.380 \\ \hline \end{tabular}
\end{table} 
Table 3: The best key pairs among 10 encryption times for DEM A. \(|DS_{A}|\) means the absolute \(S_{A}\) difference compared to the original one. \(S_{A}\) is the absolute configurational entropy. Figure 7: Ten confused DEM A.  
Figure 8: _Cont_. Regarding DEM B, Table 4 shows the \(|DS_{R}|\) values of 10 confused ones illustrated in Figure 10. We find the 10 th one is the best in the confusion phase. Table 5 shows similar results to DEM A. Obviously, when mode (i) is employed, the 10 th one is the best since it has the maximum \(S_{A}\) value in comparison with the others shown in Figure 11. However, the second one is selected when mode (ii) is activated. Figure 12a illustrates that the \(S_{A}\) values increase with the increase in encryption rounds. However, we find that the \(C_{R}\) values decrease in Figure 12b. These experimental results indicate that the configurational entropy is useful to optimize the proposed encrypted algorithm. \begin{table}
\begin{tabular}{c c c c} \hline
**No.** & **(\(\mathbf{r_{0}}\), \(\mathbf{x_{0}}\))** & **(\(\mathbf{r_{0}}\), \(\mathbf{y_{0}}\))** & \(1 DS_{R}|\) \\ \hline
1 & (3.9127452, 0.56) & (3.9430024, 0.44) & 1,366,081.4 \\
2 & (3.7803406, 0.42) & (3.7118742, 0.28) & 1,371,377.5 \\
3 & (3.9446201, 0.10) & (3.6720488, 0.25) & 1,401,148.1 \\
4 & (3.8410564, 0.11) & (3.7863010, 0.4) & 1,201,102.3 \\
5 & (3.6867861, 0.75) & (3.5896140, 0.09) & 1,373,653.2 \\
6 & (3.592103, 0.19) & (3.9848832, 0.07) & 1,381,518.3 \\
7 & (3.6462285, 0.68) & (3.585905, 0.23) & 1,375,019.6 \\
8 & (3.7970835, 0.63) & (3.8113753, 0.49) & 1,377,74.8 \\
9 & (3.9591995, 0.05) & (3.9107138, 0.70) & 1,382,701.9 \\
10 & (3.9429938, 0.25) & (3.7159570, 0.45) & 1,388,199.0 \\ \hline \end{tabular}
\end{table} 
Table 4: Comparisons of the relative configurational entropy of confused DEM B under different keys in the first round. Figure 8: Three-dimensional images of confused and diffused DEM A. The numbering sequence is consistent with the encryption round. Figure 9: Scatters plot of \(m\) rounds compared to the \(S_{A}\) value of the encrypted DEM A and that of \(C_{R}\) compared to the \(S_{A}\) values. Figure 10: _Cont._