A new simple chaotic system and its application in medical image encryption
- 362 Downloads
Today, medical imaging suffers from serious issues such as malicious tampering and privacy leakage. Encryption is an effective way to protect these images from security threats. Among the available encryption algorithms, chaos-based methods have strong cryptographic properties, because chaotic systems are sensitive to initial conditions and parameters. However, traditional chaotic systems are easy to build, analyze, predict and can be re-scaled to any desired frequency. Thus, encryption schemes using traditional chaotic systems have low security levels. In this work, we propose a new simple chaotic system that utilizes a hyperbolic sine as its nonlinearity; this nonlinearity has rarely appeared in previous studies. Furthermore, the new chaotic system uses a decorrelation operation to enhance its performance. Statistical testing verifies that the chaotic sequence has good pseudorandom characteristics. In this study, we propose a scheme for medical image encryption based on this new chaotic system. The results of tests show that this encryption method can encrypt images effectively in a single round and that the proposed scheme provides sufficient security against known attacks.
KeywordsChaos Hyperbolic sine Image encryption Medical image
The authors would like to thank Wenlong Xin for providing knowledge of the medical images. All the medical images used are from the First Hospital affiliated with Lanzhou University and the DICOM database. This study was supported by Fundamental Research Funds for the Central Universities No. lzujbky-2016-238) and the National Natural Science Foundation of China (No. 61175012).
- 1.Collen MF, Ball MJ (eds) (2015) The history of medical informatics in the United States. Springer, BerlinGoogle Scholar
- 3.Gutub AAA, Tabakh AA, Al-Qahtani A, Amin A (2013) Serial vs. parallel elliptic curve crypto processor designs. In IADIS International Conference: Applied Computing, pp 67–74Google Scholar
- 4.Hamza R (2017) A novel pseudo random sequence generator for image-cryptographic applications. J Inf Secur Appl 35:119–127Google Scholar
- 5.Hamza R, Titouna F (2016) A novel sensitive image encryption algorithm based on the Zaslavsky chaotic map. Information Security Journal: A Global Perspective 25(4–6):162–179Google Scholar
- 14.Liu J, Sprott JC, Wang S, Ma Y (2018) Simplest chaotic system with a hyperbolic sine and its applications in DCSK Scheme. IET Communications. https://doi.org/10.1049/iet-com.2017.0455
- 19.Parvez MT, Gutub AAA (2011) Vibrant color image steganography using channel differences and secret data distribution. Kuwait J Sci Eng 38(1B):127–142Google Scholar
- 20.Pham VT, Volos C, Jafari S, Kapitaniak T (2017) A novel cubic–equilibrium chaotic system with coexisting hidden attractors: analysis, and circuit implementation. J Circuits Syst Comput 27(04):1850066. https://doi.org/10.1142/S0218126618500664
- 24.Sun XH (2013) Image encryption algorithms and practices with implementations in C#. Sciencepress, BeijingGoogle Scholar
- 25.Wang X, Vaidyanathan S, Volos C, Pham VT, Kapitaniak T (2017) Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors. Nonlinear Dynam 89(3):1673–1687Google Scholar
- 27.Wu Y, Noonan JP, Agaian S (2011) NPCR and UACI randomness tests for image encryption. Cyber journals: multidisciplinary journals in science and technology. Journal of Selected Areas in Telecommunications (JSAT) 2:31–38Google Scholar
- 30.Zhang Y, Qiu M, Tsai CW, Hassan MM, Alamri A (2015) Health-CPS: healthcare cyber-physical system assisted by cloud and big data. IEEE Syst J 11(1):88–95Google Scholar