## 3 Our Proposed Scheme
### Encryption Scheme

Table 9: Information entropy. ## 5 Conclusion

The security and privacy of digital images, such as medical images, satellite remote sensing images, social network images, etc., is very important in communication. To ensure the security and privacy of digital images, we proposed a novel chaos based image encryption scheme with randomly DNA encode and plaintext related permutation in this paper. In the proposed scheme, for utilizing the ultra-high information density, great parallelism and ultra-low energy consumption of DNA, we encode the plain image randomly into a nucleotide sequence controlled by the piecewise linear chaotic map. Under the control sequence generated by hyper-chaotic Lorenz system, the plaintext related permutation is done, which can increase the plaintext sensitivity and improve resistance to differential attack. Moreover, we use key DNA sequence to make diffusion processing, which can strongly resist statistical attack. In addition, many common security analysis methods are used to test our proposed image cryptosystem. The test results shown that our proposed image cryptosystem has excellent security performance in digital image communication. The image encryption based on chaos and DNA computing are still under constant research, and there are still many problems that need to be further studied and solved. In the next stage, we will focus on the multi-image aggregation encryption and parallel DNA image encoding. **Author Contributions:** Formal analysis, Z.L. ; funding acquisition, C.P. ; investigation, Z.L. ; methodology, Z.L. ; project administration, C.P. ; software, W.T. and L.L. ; writing--original draft preparation, Z.L. ; writing--review and editing, C.P., W.T. and L.L. All authors have read and agreed to the published version of the manuscript. **Funding:** This research received no external funding. **Acknowledgments:** Our research is supported by the National Natural Science Foundation of China (U1836205, 61662009, and 61772008), the open Foundation of Guizhou Provincial Key Laboratory of Public Big Data (2017 BDKFJ023, 2017 BDKFJ026), the Science and Technology Foundation of Guizhou (Guizhou Science-Contract-Major-Program [2018]3001, Guizhou-Science-Contract-Major-Program [2018]3007, Guizhou-Science-Contract-Major-Program [2017]3002, Guizhou-Science-Contract-Support [2019]2004, Guizhou-Science-Contract-Support [2018]2162, Guizhou-Science-Contract-Support [2018]2159, Guizhou-Science-Contract [2017]1045, Guizhou-Science-Contract [2019]1049, Guizhou-Science-Contract [2019]1249), and Scientific Research Foundation of Guizhou province, China (QKHPTRC[2017]5788). The Project of Innovative Group in Guizhou Education Department ([2013]09). The Youth Science and Technology Talents Growth Project of the Guizhou Provincial Department of Education (Guizhou-Education-Contract-KY-Word [2018]260). **Conflicts of Interest:** The authors declare no conflict of interest. ## Abbreviations

The following abbreviations are used in this manuscript: \begin{tabular}{l l l l l l l l} \hline \hline \multirow{2}{*}{**Algorithms**} & \multicolumn{2}{l}{**Cipher Correlation Coefficients**} & \multicolumn{2}{l}{**Global**} & \multicolumn{2}{l}{**Local**} & \multirow{2}{*}{**Key Space**} & \multicolumn{2}{l}{**Plaintext Sensitivity**} \\ \cline{2-2} \cline{5-8}  & **Horizontal Vertical** & & & & & & **Entropy** & & **NPCR (\%)** & **UACI (\%)** \\ \hline Our work & \(0.0025\) & \(0.0019\) & \(0.0003\) & \(7.999258\) & \(7.902361\) & \(2^{424}\) & \(99.6159\) & \(33.4846\) \\ Ref. [16] & \(-0.0021\) & \(0.0009\) & \(0.0003\) & \(7.9971656\) & - & \(2.96\times 10^{149}\) & \(99.6135\) & \(30.9255\) \\ Ref. [20] & \(0.0037\) & \(-0.0004\) & \(-0.0378\) & \(7.9993\) & - & \(2^{512}\) & \(99.61\) & \(33.46\) \\ Ref. [21] & \(-0.0014\) & \(-0.0020\) & \(-0.0012\) & \(7.9993\) & - & - & \(99.6258\) & \(33.4153\) \\ \hline \hline \end{tabular} 

## 5 Conclusion

The security and privacy of digital images, such as medical images, satellite remote sensing images, social network images, etc., is very important in communication.