Theory of fuzzy integrals and its applications

A new hybrid digital chaotic system with applications in image encryption

A novel one-dimensional sine powered chaotic map and its application in a new image encryption scheme

A novel image encryption algorithm based on double chaotic systems is proposed in this paper. On account of the limited chaotic range and vulnerability of a single chaotic map, we use the two-dimensional Baker chaotic map to control the system parameters and the state variable of the logistic chaotic map. After control, the parameter of the logistic map is varying, and the generated logistic sequence is non-stationary. The improved map has been proven to be random and unpredictable by complexity analysis. Furthermore, a novel image encryption algorithm, including shuffling and substituting processes, is proposed based on the improved chaotic maps. Many statistical tests and security analysis indicate that this algorithm has an excellent security performance, and it can be competitive with some other recently proposed image encryption algorithms.

A novel chaotic image encryption algorithm based on improved baker map and logistic map

The color image encryption algorithm based on the chaos theory is not strong enough. In this paper, we proposed a color image chaos encryption algorithm combining Cyclic Redundancy Check (CRC) and nine palace map. Firstly, the pixel data of the plain image were moved and shuffled based on the theory of nine palace map. And the R, G and B components were extracted and converted into a binary sequence matrix that was then cyclically shifted based on the technology of generating CRC code. Finally, the encrypted image was derived from the XOR operation with random key matrix. The average entropy of encrypted image by our algorithm is 7.9993, which is slight improved compared with the coupled hyper chaotic Lorenz algorithm in previous studies. In addition, the algorithm has the advantages of large key space, high key sensitivity, anti-robust attack, and feasible encryption efficiency.

Color image chaos encryption algorithm combining CRC and nine palace map

In this paper, by using Logistic, Sine and Tent systems we define a combination chaotic system. Some properties of the chaotic system are studied by using figures and numerical results. A color image encryption algorithm is introduced based on new chaotic system. Also this encryption algorithm can be used for gray scale or binary images. The experimental results of the encryption algorithm show that the encryption algorithm is secure and practical.

A combination chaotic system and application in color image encryption

A fast multiple-image encryption algorithm based on hybrid chaotic systems for gray scale images

2D Hybrid chaos map for image security transform based on framelet and cellular automata

On the numerical treatment and analysis of Benjamin-Bona-Mahony-Burgers equation

In this paper, a novel image encryption algorithm based on 3D hybrid chaotic system and choquet fuzzy integral is introduced. To construct an algorithm with high sensitivity and least losing, we introduce a new type of 3D hybrid chaos map which has uniformly distributed, and apply choquet fuzzy integral using B-spline functions as membership grades to confuse and diffuse the pixels. Finally, simulation results and various security analysis illustrate that this algorithm possess a high security and resist various attacks.

R. Parvaz

Papers

A combination chaotic system and application in color image encryption

A fast multiple-image encryption algorithm based on hybrid chaotic systems for gray scale images

2D Hybrid chaos map for image security transform based on framelet and cellular automata

On the numerical treatment and analysis of Benjamin-Bona-Mahony-Burgers equation

Hybrid image encryption algorithm based on 3D chaotic system and choquet fuzzy integral