An efficient construction of S-box based on the fractional-order Rabinovich–Fabrikant chaotic system

Self Cite

A substitution box (S-box) serves as the nonlinearity component in a symmetric key encryption scheme; it directly determines the performance and security level of ciphers. Thus, the construction of an S-box with superior performance and efficiency, specifically in terms of high cryptographic properties, is critical. This research proposes a novel method to construct the S-box using the skewed logistic chaotic map and modified Rabin-Karp rolling hash function without disturbing its mathematical structure. First, iterate the skewed logistic map by selecting a seed value and specifying the parameters to generate the chaotic values. The map's sensitivity to initial conditions and parameters results in a seemingly random and unpredictable chaotic values. Second, hash the chaotic values using Rabin-Karp for generating sequences of numbers within a specific range (0–255 for an 8-bit S-box). Then an S-box is constructed using the hash values. Performance evaluations indicate that the S-box produced through our suggested approach exhibits superior performance, demonstrating robust resistance against various security threats, including but not limited to linear attacks, differential attacks, and others. To demonstrate the effectiveness of the constructed S-box, this paper goes on to employ it in an image encryption application. Security analyses reveal that the developed image encryption algorithm successfully encrypts diverse types of images, producing cipher images characterized by uniformly distributed histograms. Performance assessments illustrate its high-security level, surpassing several state-of-the-art encryption algorithms.

Section: Proposed Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

S-box design based on logistic skewed chaotic map and modified Rabin-Karp algorithm: applications to multimedia security

Waheed,

Subhan

2024

Self Cite

“…Experimental evidence shows that the technique has a sizable key space that is adequate to ensure the security of the image. In [31], the authors constructed a new S-box and verified its superiority and practicality in image encryption. In [32], it presented a 4D memristive hyperchaos and using chaotic map substitution boxes (S-box) and cellular automata to encrypt image.…”

Section: Introductionmentioning

confidence: 99%

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

He,

Chen,

Wang

et al. 2024

The security guarantee of data transmission is becoming more crucial as the frequency of information interchange rises. Ensuring the security of images is essential since they serve as a vital transmission medium. This research suggests an image encryption method that combines the knight tour algorithm with a 6D fractional order hyperchaotic system. First, chaotic sequences are produced using a fractional order hyperchaotic system, which is then utilized to index order and jumble the entire image. To retrieve the image after the second scrambling, choose the knight tour beginning point and run ten rounds of knight tour algorithms on the scrambled image. Thirdly, to maximize the efficiency of picture encryption, employ diffusion methods. The outcomes of the imaging experiment were lastly tested and assessed. The security of the image can be successfully guaranteed by a high-dimensional fractional order hyperchaotic system. This is because its high dimensionality gives it a larger key space than the low dimensional system. This is why it can resist attacks more effectively. After a series of evaluation experiments, it is obvious that this encryption scheme has good encryption performance.

“…Secure image encryption based on chaos theory is one significant area in which chaotic systems may be applied. Recently, many encryption algorithms based on different technologies have been introduced using fractional-order chaotic systems for image encryption [34,35]. In secure communication applications, the main challenge of exploiting fractional-order chaotic systems is control synchronization.…”

Section: Introductionmentioning

confidence: 99%

A secure communication scheme based on generalized modified projective synchronization of a new 4-D fractional-order hyperchaotic system

Nabil,

Tayeb

2024

This paper focuses on the exploration of the chaotic behavior of a new four dimensional fractional-order hyperchaotic system with five nonlinearities. The Adomian decomposition method is employed to solve the fractional-orderhyperchaotic system. The stability of equilibrium points in this system is analyzed. Through bifurcation diagrams, Lyapunov exponent spectra, chaotic attractors, 0-1 test, $C_{0}$ complexity, and spectral entropy, the chaotic dynamics of the proposed system are investigated. Using these tools, we demonstrate the fractional-order system's sensitivity to variation in both the derivative order and initial conditions. Moreover, a modified generalized projective synchronization is developed to implement chaos synchronization between two coupled fractional-order hyperchaotic systems. Furthermore, this work presents an application of synchronization scheme in secure communication. Numerical simulations were implemented to validate the effectiveness of the proposed secure communication scheme.