## 3 The Proposed IoMT Model
### Secure Data Transmission and Storage
Figure 9: Histogram of SPAC error distribution of HMCC over bit positions. ### Comparative Security Analysis of the HMCC with Existing System

The results of the comparative analysis of HMCC with AES and DES based on information entropy, autocorrelation analysis, strict avalanche criterion, and NPCR and UACI values of differential cryptanalysis are discussed in this section. 1. **Comparative Analysis of Entropies of MCC, AES, and DES**

Comparative studies of the entropies of the ciphertext produced from HMCC, AES, and DES were compared. The same samples of plaintext were used for all the ciphers. Table 10 compares the obtained entropies of the ciphers during the experiments. From Table 9, it can be seen that the three ciphers have very high entropies in all the samples considered, as the values are very close to the maximum value 8. Hence, HMCC entropy is comparable to the entropy of the standard AES algorithm. The result of the differential cryptanalysis shown in Table 11 shows that HMCC and AES are strongly resistant to differential cryptanalysis attacks. This is affirmed by the value of NPCR which is 100% (the expected value), and the value of UACI which is very close to the expected value of 33.3% in most cases when a single character is altered in the input \begin{table}
\begin{tabular}{c c c} \hline
**HMCC** & **AES** & **DES** \\ \hline
7.9438 & 7.9302 & 7.94 \\
7.9236 & 7.9345 & 7.9129 \\
7.9662 & 7.966 & 7.962 \\
7.8762 & 7.8831 & 7.8726 \\
7.9667 & 7.9685 & 7.9613 \\
7.952 & 7.9594 & 7.9533 \\
7.9766 & 7.9748 & 7.971 \\ \hline \end{tabular}
\end{table} 
Table 10: Comparison of entropies of HMCC, AES, and DES. \begin{table}
\begin{tabular}{c c c c c c} \hline  & **NPCR (\%)** & & & **UACI (\%)** & \\ \hline
**HMCC** & **AES** & **DES** & **HMCC** & **AES** & **DES** \\ \hline
100 & 100 & 57.0312 & 27.549 & 27.6471 & 0.2237 \\
100 & 100 & 46.875 & 32.549 & 43.6029 & 0.1838 \\
100 & 100 & 51.5625 & 27.402 & 32.0588 & 0.2022 \\
93.75 & 100 & 50 & 23.0147 & 44.951 & 0.1961 \\
100 & 100 & 51.5625 & 30.4412 & 32.3284 & 0.2022 \\
100 & 100 & 51.5625 & 23.7745 & 24.9755 & 0.2022 \\
100 & 100 & 57.0312 & 38.7255 & 32.8431 & 0.2237 \\
100 & 93.75 & 48.4375 & 34.5343 & 26.7647 & 0.19 \\
100 & 100 & & 27.1569 & 42.1814 & \\
100 & 100 & & 38.5784 & 31.9118 & \\
100 & 100 & & 36.4951 & 30.8088 & \\
100 & 100 & & 24.9755 & 40.3922 & \\
100 & 93.75 & & 26.8382 & 28.0637 & \\
100 & 100 & & 26.8627 & 32.7206 & \\
100 & 100 & & 26.1029 & 26.9608 & \\
100 & 100 & & 31.3725 & 34.5343 & \\ \hline \end{tabular}
\end{table} 
Table 11: The sampled result of comparative differential cryptanalysis of MCC, AES, and DES. text. On the other hand, DES is less resistant to differential cryptanalysis attacks. This can be seen from the obtained values of NPCR and UACI, which are very far from the expected value of 100% and 33.3%, respectively. * **Comparative analysis of MCC, AES, and DES based on Autocorrelation Analysis**

Comparative autocorrelation analyses of HMCC, AES, and DES were carried out by passing the same plaintext through the three ciphers. The autocorrelation analysis of the ciphertext produced from each cipher was carried out. The autocorrelation graphs shown in Figure 10 compare the autocorrelation of the input plaintext with the autocorrelation of the output ciphertexts from each of HMCC, AES, and DES ciphers. From the graphs shown in Figure 10a, it can be seen that the autocorrelation of the plaintext has a non-uniform and large number of similar symbols, while the graphs of autocorrelation of ciphertext produced by HMCC, AES, and DES in Figure 10b have more uniform and reduced number of similar symbols when compared with that of the plaintext. It can also be observed from Figure 10b that the ciphertexts produced by HMCC and AES appear to show a slightly lower number of similar symbols than the ciphertext produced by DES. The graphs showed that HMCC and AES have similar symbols that are less than 50, while in some cases, the similar symbols in the ciphertext of DES reach 50.