2D-SCMCI Hyperchaotic Map for Image Encryption Algorithm

Abstract

Chaos has unpredictability and initial condition sensitivity, which known as a best candidate for cryptography application. However, there are many defects for the existing chaotic cryptography systems due to the use of chaotic maps that without complexity dynamic properties. To overcome these weaknesses, this work designed a 2D-SCMCI hyperchaotic map based on Cascade Modulation Couple (CMC) and two 1D-chaotic map. The dynamic characteristics of the 2D-SCMCI hyperchaotic map are analyzed through attractor trajectory, 0-1 test, bifurcation diagram, Lyapunov exponents and spectrum entropy (SE) complexity. The results of analysis indicate that 2D-SCMCI hyperchaotic map has rich dynamic performance and randomness, which illustrates that it is more suitable for image encryption algorithm. Therefore, an image encryption algorithm is proposed by 2D-SCMCI hyperchaotic map. In encryption algorithm, the image is scrambled by row and column, forward and backward diffusion are used to diffuse image pixel values. The security performances analysis results indicate that the introduced algorithm has better security characteristics.

Provably Secure and Fast Color Image Encryption Algorithm Based on S-Boxes and Hyperchaotic Map

“…Moreover, according to the results obtained by the authors, the resulting randomness in the image encoded by the entropy coefficient is considered low in comparison to the others. A 2D-SCMCI hyperchaotic map based on Cascade Modulation Couple (CMC) and two 1D chaotic maps was proposed in [6]. The significant dynamic performance and randomness in the 2D-SCMCI hyperchaotic map show that it is better suited for the image encryption method, although it only works with grayscale images.…”

“…Researchers has suggested several approaches to secure image information, including data hiding, encryption and watermarking. Image encryption technology represents the most basic means for creating a noise image out of an original image [6]. Cryptography has had significant applications throughout history.…”

“…Current chaotic maps have certain weaknesses. For instance, chaotic deterioration occurs on a platform with limited accuracy and non-uniform output distribution, resulting in a lack of dynamic complexity when attempting to assess their trajectories [6] [8]. Furthermore, research indicates that numerous encryption techniques based on existing chaotic maps are vulnerable to attack [6].…”

“…For instance, chaotic deterioration occurs on a platform with limited accuracy and non-uniform output distribution, resulting in a lack of dynamic complexity when attempting to assess their trajectories [6] [8]. Furthermore, research indicates that numerous encryption techniques based on existing chaotic maps are vulnerable to attack [6]. The Substitution Boxes (S-Boxes) in the structure of permutation ciphers constitute critical nonlinear features that ensure block ciphers maintain their confusion features.…”

Applicable Image Security Based on New Hyperchaotic System

“…To strengthen the safety of the chaotic systems and the formation of confusionand diffusion-based image encryption, we put forward a new Sine-coupling-Logisticmodulated-Sine system based on two one-dimensional maps, which expands the results from one-dimensional to two-dimensional. To verify the better performance of the newly designed 2D-SCLMS map compared to many existing chaotic maps, the dynamics of the newly designed 2D-SCLMS map is analyzed from multiple perspectives, including chaotic trajectory, bifurcation diagram, Lyapunov exponent, two complexity analysis methods [29,30], 0-1 test [31,32], sample entropy, and permutation entropy [33]. Experimental tests show that 2D-SCLMS is a hyperchaotic system and has a wider chaotic range and better randomness.…”