Analysis of DNA Image Encryption Effect by Logistic‐Sine System Combined with Fractional Chaos Stability Theory

2020 ◽  
Vol 64 (4) ◽  
pp. 40413-1-40413-8
Author(s):  
Zhuang-hao Si ◽  
Wei Wei ◽  
Bi-song Li ◽  
Wei-jie Feng
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Stability Theory ◽  
Data Encryption ◽  
Encryption Algorithm ◽  
Fuzzy Differential Equation ◽  
Original Image ◽  
Image Histogram ◽  
Change Intensity ◽  
Digital Image Encryption

Abstract To explore the DNA image encryption method based on the Logistic‐sine system and the fractional-order chaos stability theory, a fractional-order fuzzy differential equation is first introduced to construct a chaotic synchronization system. Then the green, blue, and red primary color matrix is established to design new DNA image encryption, and the encryption process is explained. Next, a data encryption algorithm and an advanced encryption algorithm are introduced to perform simulation experiments on the MATLAB 2014 software platform. It is found that the images encrypted by the new algorithm all exhibit striped snowflakes, and after decryption, it is almost the same as the original image. The histogram of the image encrypted by the new algorithm is flat, which is very different from the original image histogram. The average pixel change rate of the image encrypted by the new algorithm is 99.6267%, and the average change intensity reaches 33.5183%. The average information entropy of the image encrypted by the new algorithm is 7.9624, which is close to the upper limit of 8. The calculation time and occupied space of the new algorithm are less than those of the data encryption algorithm and the advanced encryption algorithm. This result shows that the DNA image encryption algorithm based on the Logistic‐sine system and the fractional-order chaos stability theory has excellent performance and can provide a certain theoretical basis for research in the field of digital image encryption.

scholarly journals Non-Linear Hopped Chaos Parameters-Based Image Encryption Algorithm Using Histogram Equalization

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 535
Author(s):  
Karim H. Moussa ◽  
Ahmed I. El Naggary ◽  
Heba G. Mohamed
Keyword(s):  
Image Encryption ◽  
Initial Conditions ◽  
Signal To Noise Ratio ◽  
Chaotic Map ◽  
Histogram Equalization ◽  
Encryption Algorithm ◽  
Multimedia Contents ◽  
Encryption Schemes ◽  
Change Intensity ◽  
Increasing Demand

Multimedia wireless communications have rapidly developed over the years. Accordingly, an increasing demand for more secured media transmission is required to protect multimedia contents. Image encryption schemes have been proposed over the years, but the most secure and reliable schemes are those based on chaotic maps, due to the intrinsic features in such kinds of multimedia contents regarding the pixels’ high correlation and data handling capabilities. The novel proposed encryption algorithm introduced in this article is based on a 3D hopping chaotic map instead of fixed chaotic logistic maps. The non-linearity behavior of the proposed algorithm, in terms of both position permutation and value transformation, results in a more secured encryption algorithm due to its non-convergence, non-periodicity, and sensitivity to the applied initial conditions. Several statistical and analytical tests such as entropy, correlation, key sensitivity, key space, peak signal-to-noise ratio, noise attacks, number of pixels changing rate (NPCR), unified average change intensity randomness (UACI), and others tests were applied to measure the strength of the proposed encryption scheme. The obtained results prove that the proposed scheme is very robust against different cryptography attacks compared to similar encryption schemes.

scholarly journals A new image encryption algorithm based on the OF-LSTMS and chaotic sequences

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yi He ◽  
Ying-Qian Zhang ◽  
Xin He ◽  
Xing-Yuan Wang
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Chaotic System ◽  
Short Term Memory ◽  
Encryption Algorithm ◽  
Chaotic Sequences ◽  
Long Short Term Memory ◽  
Input Gate ◽  
And Diffusion ◽  
Image Encryption Algorithm

AbstractIn this paper, a novel image encryption algorithm based on the Once Forward Long Short Term Memory Structure (OF-LSTMS) and the Two-Dimensional Coupled Map Lattice (2DCML) fractional-order chaotic system is proposed. The original image is divided into several image blocks, each of which is input into the OF-LSTMS as a pixel sub-sequence. According to the chaotic sequences generated by the 2DCML fractional-order chaotic system, the parameters of the input gate, output gate and memory unit of the OF-LSTMS are initialized, and the pixel positions are changed at the same time of changing the pixel values, achieving the synchronization of permutation and diffusion operations, which greatly improves the efficiency of image encryption and reduces the time consumption. In addition the 2DCML fractional-order chaotic system has better chaotic ergodicity and the values of chaotic sequences are larger than the traditional chaotic system. Therefore, it is very suitable to image encryption. Many simulation results show that the proposed scheme has higher security and efficiency comparing with previous schemes.

scholarly journals Integrated Time-Fractional Diffusion Processes for Fractional-Order Chaos-Based Image Encryption

Sensors ◽  
2021 ◽  
Vol 21 (20) ◽  
pp. 6838
Author(s):  
Fudong Ge ◽  
Zufa Qin ◽  
YangQuan Chen
Keyword(s):  
Boundary Conditions ◽  
Image Encryption ◽  
Fractional Order ◽  
Diffusion Processes ◽  
Fractional Diffusion ◽  
Spatiotemporal Chaos ◽  
Diffusion System ◽  
Encryption Algorithm ◽  
Secret Key ◽  
Image Encryption Algorithm

The purpose of this paper is to explore a novel image encryption algorithm that is developed by combining the fractional-order Chua’s system and the 1D time-fractional diffusion system of order α∈(0,1]. To this end, we first discuss basic properties of the fractional-order Chua’s system and the 1D time-fractional diffusion system. After these, a new spatiotemporal chaos-based cryptosystem is proposed by designing the chaotic sequence of the fractional-order Chua’s system as the initial condition and the boundary conditions of the studied time-fractional diffusion system. It is shown that the proposed image encryption algorithm can gain excellent encryption performance with the properties of larger secret key space, higher sensitivity to initial-boundary conditions, better random-like sequence and faster encryption speed. Efficiency and reliability of the given encryption algorithm are finally illustrated by a computer experiment with detailed security analysis.

scholarly journals Image Encryption Algorithm Based on the H-Fractal and Dynamic Self-Invertible Matrix

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Xuncai Zhang ◽  
Lingfei Wang ◽  
Ying Niu ◽  
Guangzhao Cui ◽  
Shengtao Geng
Keyword(s):  
Image Encryption ◽  
Security Analysis ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Original Image ◽  
Invertible Matrix ◽  
Pseudorandom Sequences ◽  
Pixel Location ◽  
Encryption Method ◽  
Image Encryption Algorithm

In this paper, an image encryption algorithm based on the H-fractal and dynamic self-invertible matrix is proposed. The H-fractal diffusion encryption method is firstly used in this encryption algorithm. This method crosses the pixels at both ends of the H-fractal, and it can enrich the means of pixel diffusion. The encryption algorithm we propose uses the Lorenz hyperchaotic system to generate pseudorandom sequences for pixel location scrambling and self-invertible matrix construction to scramble and diffuse images. To link the cipher image with the original image, the initial values of the Lorenz hyperchaotic system are determined using the original image, and it can enhance the security of the encryption algorithm. The security analysis shows that this algorithm is easy to implement. It has a large key space and strong key sensitivity and can effectively resist plaintext attacks.

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