A New Chaotic Map With Dynamic Analysis and Encryption Application in Internet of Health Things

Abstract

In this paper, we report an effective cryptosystem aimed at securing the transmission of medical images in an Internet of Healthcare Things (IoHT) environment. This contribution investigates the dynamics of a 2-D trigonometric map designed using some well-known maps: Logistic-sine-cosine maps. Stability analysis reveals that the map has an infinite number of solutions. Lyapunov exponent, bifurcation diagram, and phase portrait are used to demonstrate the complex dynamic of the map. The sequences of the map are utilized to construct a robust cryptosystem. First, three sets of key streams are generated from the newly designed trigonometric map and are used jointly with the image components (R, G, B) for hamming distance calculation. The output distance-vector, corresponding to each component, is then Bit-XORed with each of the key streams. The output is saved for further processing. The decomposed components are again Bit-XORed with key streams to produce an output, which is then fed into the conditional shift algorithm. The Mandelbrot Set is used as the input to the conditional shift algorithm so that the algorithm efficiently applies confusion operation (complete shuffling of pixels). The resultant shuffled vectors are then Bit-XORed (Diffusion) with the saved outputs from the early stage, and eventually, the image vectors are combined to produce the encrypted image. Performance analyses of the proposed cryptosystem indicate high security and can be effectively incorporated in an IoHT framework for secure medical image transmission.

A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption

“…To confirm the effectiveness of the proposed encryption approach in relation to other very recently approaches ( [47], [48], [50]), Table 8 presents a simple comparison of the proposed approach with other related methods in terms of correlation coefficients, NPCR, UACI, global and local information entropy, and Chi-square test. The values provided in Table 8 confirms the effectiveness of the presented mechanism.…”

“…Nevertheless, the global entropy neglects to evaluate the true randomness for ciphered images. Accordingly, local entropy can be calculated by the average of global entropies over all the non-overlapping blocks (per block has 1936 pixels) [48]. Table 7 presented the values of global and local information entropies for the plain images and their corresponding ciphered ones, which all values of information entropy for ciphered images are very near to 8-bit.…”

Secure and Provenance Enhanced Internet of Health Things Framework: A Blockchain Managed Federated Learning Approach

“…A privacy-protected IoHT framework was designed in [79] , where IoHT data with provenance and audit trails were delivered to authorized subscribers. The authors in [80] designed a cryptosystem that could secure IoHT data during transmission between two endpoints. The cryptosystem was successfully tested with medical image transmission.…”

Dynamical Properties of Ion-Acoustic Waves in Space Plasma and Its Application to Image Encryption

“…3) Histogram, χ 2 and variance tests Any good encryption scheme must pass the histogram and chisquare test to be able to resist the statistical intrusion of a third party [76]. The histogram of a plain data is usually distributed randomly whereas the histogram of the corresponding cipher is required to be uniform.…”