A new image encryption scheme based on a simple first-order time-delay system with appropriate nonlinearity
Nonlinear delay differential system (NDDS) is a family of hyperchaotic systems, which has attracted much attention in the last years, especially in optics. The NDDS is often modeled by a time delay that occurs between the signals at the input and the output, and a nonlinearity introduced by a function \(F\). This paper introduces the Ikeda system that is considered system of infinite dimension and proposed an image encryption scheme by dynamic block. The encryption algorithm divides the image on dynamic blocks depending on the previous block cipher. The algorithm diffuses the plain image with bitwise XOR between each block and sequence generated by Ikeda system after quantification. Statistical analysis of the proposed encryption scheme demonstrates that this cryptosystem is secure enough to resist the brute-force attack, entropy attack, differential attack, chosen-plaintext attack, known-plaintext attack and statistical attack. In addition, the cryptosystem has high sensitivity of key and large space key.
KeywordsCryptography Chaos Ikeda Image
- 3.Abderrahim, N.W., Benmansour, F.Z., Seddiki, O.: A chaotic stream cipher based on symbolic dynamic description and synchronization. Nonlinear Dyn. doi: 10.1007/s11071-014-1432-z
- 8.Norouzi, B., Mirzakuchaki, S., Seyedzadeh, S., Mosavi, M.: A simple, sensitive and secure image encryption algorithm based on hyper-chaotic system with only one round diffusion. Multimed. Tools Appl. doi: 10.1007/s11042-012-1292-9
- 12.Zhang, Y.-Q., Wang, X.-Y.: Analysis and improvement of a chaos-based symmetric image encryption scheme using a bit-level permutation. Nonlinear Dyn. doi: 10.1007/s11071-014-1331-3
- 13.Zhang, Y., Xiao, D., Wen, W., Li, M.: Breaking an image encryption algorithm based on hyper-chaotic system with only one round diffusion process. Nonlinear Dyn. 76(3), 1645–1650 (2014)Google Scholar
- 18.Mannai, O., Ben Jemaa, Z., Belghith, S.: Correlation properties of sequences generated by a simple first order scalar time-delay chaotic system. In: World Symposium on Computer Applications & Research (WSCAR), 18–20 January 2014, pp. 1–5. IEEE, Sousse (2014)Google Scholar