Lossless Image Encryption using Robust Chaos-based Dynamic DNA Coding, XORing and Complementing

Year 2023, Volume: 5 Issue: 3, 178 - 187, 30.11.2023

Vinod Patidar Gurpreet Kaur

https://doi.org/10.51537/chaos.1250317

Abstract

In this paper, we present a lossless image encryption algorithm utilizing robust chaos based dynamic DNA coding and DNA operations (DNA XOR and DNA Complement). The entire process of encryption is controlled by the pseudo-random number sequences generated through a 1D robust chaos map that exhibits chaotic behaviour in a very large region of parameter space with no apparent periodic window and therefore possesses a fairly large key space. Due to peculiar feed-forward and feedback mechanisms, which modify the synthetic image (created to initiate the encryption process) at the encryption of each pixel, the proposed algorithm possesses extreme sensitivity to the plain image, cipher image and secret key. The performance analysis proves that the proposed algorithm exhibits excellent features (as expected from ideal image encryption algorithms) and is robust against various statistical and cryptanalytic attacks.

Keywords

image encryption, DNA encryption, DNA complementing, DNA XORing, robust chaos

References

• Adleman, L. M., 1994 Molecular computation of solutions to combinatorial problems. science 266: 1021–1024.
• Andrecut, M. and M. Ali, 2001 Robust chaos in smooth unimodal maps. Physical Review E 64: 025203.
• Chai, X., X. Fu, Z. Gan, Y. Lu, and Y. Chen, 2019 A color image cryptosystem based on dynamic dna encryption and chaos. Signal Processing 155: 44–62.
• Dagadu, J. C., J. Li, E. O. Aboagye, and F. K. Deynu, 2019 Medical image encryption scheme based on multiple chaos and dna coding. Int. J. Netw. Secur. 21: 83–90.
• Gehani, A., T. LaBean, and J. Reif, 2004 Dna-based cryptography. Aspects of molecular computing: essays dedicated to tom head, on the occasion of his 70th birthday pp. 167–188.
• Hennelly, B. M. and J. T. Sheridan, 2003 Image encryption and the fractional fourier transform. Optik 114: 251–265.
• Kaur, G., R. Agarwal, and V. Patidar, 2022a Color image encryption scheme based on fractional hartley transform and chaotic substitution–permutation. The Visual Computer 38: 1027–1050.
• Kaur, G., R. Agarwal, and V. Patidar, 2022b Image encryption using fractional integral transforms: Vulnerabilities, threats, and future scope. Frontiers in Applied Mathematics and Statistics 8: 1039758.
• Patidar, V., 2022 Development of new designs of secure image encryption schemes utilizing robust chaos & discrete fractional transforms. SERB India MATRICS Project Completion Report, SERB/MTR/2018/000203 .
• Patidar, V. and G. Kaur, 2023 A novel conservative chaos driven dynamic dna coding for image encryption. Frontiers in Applied Mathematics and Statistics 8: 1100839.
• Patidar, V., N. Pareek, G. Purohit, and K. Sud, 2011 A robust and secure chaotic standard map based pseudorandom permutationsubstitution scheme for image encryption. Optics communications 284: 4331–4339.
• Shannon, C. E., 1949 Communication theory of secrecy systems. The Bell system technical journal 28: 656–715.
• Teh, J. S., M. Alawida, and Y. C. Sii, 2020 Implementation and practical problems of chaos-based cryptography revisited. Journal of Information Security and Applications 50: 102421.
• Wang, X., Y. Wang, X. Zhu, and C. Luo, 2020 A novel chaotic algorithm for image encryption utilizing one-time pad based on pixel level and dna level. Optics and Lasers in Engineering 125: 105851.
• Wang, X.-Y., Y.-Q. Zhang, and X.-M. Bao, 2015 A novel chaotic image encryption scheme using dna sequence operations. Optics and Lasers in Engineering 73: 53–61.
• Wu, Y., J. P. Noonan, S. Agaian, et al., 2011 Npcr and uaci randomness tests for image encryption. Cyber journals: multidisciplinary journals in science and technology, Journal of Selected Areas in Telecommunications (JSAT) 1: 31–38.
• Xiao, G., M. Lu, L. Qin, and X. Lai, 2006 New field of cryptography: Dna cryptography. Chinese Science Bulletin 51: 1413–1420.
• Xue, X., D. Zhou, and C. Zhou, 2020 New insights into the existing image encryption algorithms based on dna coding. Plos one 15: e0241184.
• Zeraoulia, E., 2012 Robust chaos and its applications, volume 79. World Scientific.
• Zhang, J., D. Fang, and H. Ren, 2014 Image encryption algorithm based on dna encoding and chaotic maps. Mathematical Problems in Engineering 2014: 1–10.