scholarly journals A Novel Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System and DNA Computing

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Taiyong Li ◽  
Minggao Yang ◽  
Jiang Wu ◽  
Xin Jing
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Dna Computing ◽  
Lorenz System ◽  
Effective Diffusion ◽  
Encryption Algorithm ◽  
Pseudorandom Sequence ◽  
Hyperchaotic System ◽  
Diffusion Scheme ◽  
Hyperchaotic Lorenz System

In the era of the Internet, image encryption plays an important role in information security. Chaotic systems and DNA operations have been proven to be powerful for image encryption. To further enhance the security of image, in this paper, we propose a novel algorithm that combines the fractional-order hyperchaotic Lorenz system and DNA computing (FOHCLDNA) for image encryption. Specifically, the algorithm consists of four parts: firstly, we use a fractional-order hyperchaotic Lorenz system to generate a pseudorandom sequence that will be utilized during the whole encryption process; secondly, a simple but effective diffusion scheme is performed to spread the little change in one pixel to all the other pixels; thirdly, the plain image is encoded by DNA rules and corresponding DNA operations are performed; finally, global permutation and 2D and 3D permutation are performed on pixels, bits, and acid bases. The extensive experimental results on eight publicly available testing images demonstrate that the encryption algorithm can achieve state-of-the-art performance in terms of security and robustness when compared with some existing methods, showing that the FOHCLDNA is promising for image encryption.

scholarly journals Cartoon Image Encryption Algorithm by a Fractional-Order Memristive Hyperchaos

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Shu-ying Wang ◽  
Jian-feng Zhao ◽  
Xiao-yan Wang ◽  
Li-tao Zhang
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Adomian Decomposition Method ◽  
Lyapunov Stability Theory ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Test Analysis ◽  
Adomian Decomposition ◽  
And Performance ◽  
Image Encryption Algorithm

Based on the Adomian decomposition method and Lyapunov stability theory, this paper constructs a fractional-order memristive hyperchaos. Then, the 0–1 test analysis is applied to detect random nature of chaotic sequences exhibited by the fractional-order systems. Comparing with the corresponding integer-order hyperchaotic system, the fractional-order hyperchaos possesses higher complexity. Finally, an image encryption algorithm is proposed based on the fractional-order memristive hyperchaos. Security and performance analysis indicates that the proposed chaos-based image encryption algorithm is highly resistant to statistical attacks.

scholarly journals Image Encryption Based on Pixel-Level Diffusion with Dynamic Filtering and DNA-Level Permutation with 3D Latin Cubes

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 319 ◽  
Author(s):  
Taiyong Li ◽  
Jiayi Shi ◽  
Xinsheng Li ◽  
Jiang Wu ◽  
Fan Pan
Keyword(s):  
Lyapunov Exponents ◽  
Image Encryption ◽  
Dna Computing ◽  
State Of The Art ◽  
Evaluation Criteria ◽  
Pseudorandom Sequence ◽  
Hyperchaotic System ◽  
Dna Encoding ◽  
Novel Approach ◽  
Dynamic Filtering

Image encryption is one of the essential tasks in image security. In this paper, we propose a novel approach that integrates a hyperchaotic system, pixel-level Dynamic Filtering, DNA computing, and operations on 3D Latin Cubes, namely DFDLC, for image encryption. Specifically, the approach consists of five stages: (1) a newly proposed 5D hyperchaotic system with two positive Lyapunov exponents is applied to generate a pseudorandom sequence; (2) for each pixel in an image, a filtering operation with different templates called dynamic filtering is conducted to diffuse the image; (3) DNA encoding is applied to the diffused image and then the DNA-level image is transformed into several 3D DNA-level cubes; (4) Latin cube is operated on each DNA-level cube; and (5) all the DNA cubes are integrated and decoded to a 2D cipher image. Extensive experiments are conducted on public testing images, and the results show that the proposed DFDLC can achieve state-of-the-art results in terms of several evaluation criteria.

scholarly journals A Color Image Encryption Algorithm Based on a Fractional-Order Hyperchaotic System

Entropy ◽  
2014 ◽  
Vol 17 (1) ◽  
pp. 28-38 ◽  
Author(s):  
Xia Huang ◽  
Tiantian Sun ◽  
Yuxia Li ◽  
Jinling Liang
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Color Image ◽  
Encryption Algorithm ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
Image Encryption Algorithm

An Asymmetric Image Encryption Algorithm Based on a Fractional-Order Chaotic System and the RSA Public-Key Cryptosystem

2020 ◽  
Vol 30 (15) ◽  
pp. 2050233
Author(s):  
Guodong Ye ◽  
Kaixin Jiao ◽  
Huishan Wu ◽  
Chen Pan ◽  
Xiaoling Huang
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Chaotic System ◽  
Encryption Algorithm ◽  
Public Key ◽  
Hyperchaotic System ◽  
System Equation ◽  
Rsa Algorithm ◽  
Image Protection ◽  
Image Encryption Algorithm

Herein, an asymmetric image encryption algorithm based on RSA cryptosystem and a fractional-order chaotic system is proposed. Its security depends on RSA algorithm. First, a pair of public and private keys is generated by RSA algorithm. Subsequently, a random message shown as plaintext key information is encrypted by the public key and RSA to achieve ciphertext key information. Next, a new transformation map is established to generate the initial key according to the ciphertext key information. Subsequently, the initial key is substituted into a fractional hyperchaotic system equation to calculate the keystream. Finally, permutation and diffusion operations are employed to encrypt a plain image to obtain the final cipher image. In the proposed algorithm, different keys for encryption and decryption are designed under an asymmetric architecture. The RSA algorithm and fractional chaotic system are combined to encrypt images; in particular, a fast algorithm for computing power multiplication is employed, which significantly improves the encryption effect and enhances the security. Simulation results show that the proposed algorithm is effective and applicable to image protection.

scholarly journals A Novel Image Encryption Scheme Based on 2D Fractional Chaotic Map, DWT and 4D Hyper-chaos

Electronics ◽  
2020 ◽  
Vol 9 (8) ◽  
pp. 1280 ◽  
Author(s):  
Lina Ding ◽  
Qun Ding
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Chaotic Map ◽  
Experimental Tests ◽  
Encryption Algorithm ◽  
Statistical Characteristics ◽  
Discrete Wavelet ◽  
Hyperchaotic System ◽  
Encryption Scheme ◽  
Key Space

In this paper, a novel image encryption scheme based on a fractional-order Henon chaotic map, a two-dimensional (2D) Discrete Wavelet Transform (DWT) and a four-dimensional (4D) hyperchaotic system is proposed. Firstly, the original image is transformed and scrambled by the 2D DWT, and then the image is shuffled with the fractional-order Henon chaotic time series. Finally, the shuffled image is diffused and encrypted by the 4D hyperchaos system. Through the application of DWT and high-low dimensional chaotic systems, the encryption effect of this algorithm is better than those done by single or ordinary chaotic encryption algorithm, and it has a larger key space and higher security. The experimental tests show that the system has good statistical characteristics, such as histogram analysis, correlation coefficient analysis, key space and key sensitivity, information entropy analysis and so on. The encryption algorithm also passes the relevant security attack tests with good security.

scholarly journals Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 258
Author(s):  
Heping Wen ◽  
Chongfu Zhang ◽  
Lan Huang ◽  
Juxin Ke ◽  
Dongqing Xiong
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Secure Communication ◽  
Color Image ◽  
Security Analysis ◽  
Encryption Algorithm ◽  
Experimental Simulation ◽  
Hyperchaotic System ◽  
Color Image Encryption ◽  
Image Encryption Algorithm

Fractional-order chaos has complex dynamic behavior characteristics, so its application in secure communication has attracted much attention. Compared with the design of fractional-order chaos-based cipher, there are fewer researches on security analysis. This paper conducts a comprehensive security analysis of a color image encryption algorithm using a fractional-order hyperchaotic system (CIEA-FOHS). Experimental simulation based on excellent numerical statistical results supported that CIEA-FOHS is cryptographically secure. Yet, from the perspective of cryptanalysis, this paper found that CIEA-FOHS can be broken by a chosen-plaintext attack method owing to its some inherent security defects. Firstly, the diffusion part can be eliminated by choosing some special images with all the same pixel values. Secondly, the permutation-only part can be deciphered by some chosen plain images and the corresponding cipher images. Finally, using the equivalent diffusion and permutation keys obtained in the previous two steps, the original plain image can be recovered from a target cipher image. Theoretical analysis and experimental simulations show that the attack method is both effective and efficient. To enhance the security, some suggestions for improvement are given. The reported results would help the designers of chaotic cryptography pay more attention to the gap of complex chaotic system and secure cryptosystem.

scholarly journals Image Encryption Based on Dynamic Filtering and Bit Cuboid Operations

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Xinsheng Li ◽  
Zhilong Xie ◽  
Jiang Wu ◽  
Taiyong Li
Keyword(s):  
Image Encryption ◽  
State Of The Art ◽  
Evaluation Criteria ◽  
The Internet ◽  
Pseudorandom Sequence ◽  
Hyperchaotic System ◽  
Diffusion Scheme ◽  
Media Types ◽  
Dynamic Filtering ◽  
Novel Algorithm

As one of the most widely used media types, images play an important role in the era of the Internet. And hence how to enhance the security of images has become a hot topic in the field of information security. However, due to some intrinsic characteristics of images, image security is still a challenging task. For the purpose of coping with this issue, in this paper, we propose a novel algorithm that combines a hyperchaotic system, dynamic filtering, and bit cuboid operations, namely, DFBC, for image encryption. Specifically, the proposed DFBC consists of four steps: firstly, a 7D Lorenz hyperchaotic system is utilized to generate a pseudorandom sequence; secondly, variable 1D filters are derived from the pseudorandom sequence, and dynamic filtering is conducted on each pixel of an image; thirdly, a diffusion scheme is performed and then the image is transformed to a bit cuboid; and, finally, various types of permutation (rearranging, symmetry, rotation, zigzag, and global bit permutation) are performed on the bit cuboid. The experiments on several testing images demonstrate that the DFBC achieves state-of-the-art results in terms of several evaluation criteria, showing that the DFBC is promising for image encryption.

scholarly journals An Image Encryption Algorithm Based on Hyperchaotic System and Variable-Step Josephus Problem

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Xuncai Zhang ◽  
Lingfei Wang ◽  
Yanfeng Wang ◽  
Ying Niu ◽  
Yinhua Li
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Encryption Algorithm ◽  
Pseudorandom Sequence ◽  
Hyperchaotic System ◽  
Pseudorandom Sequences ◽  
Depth Analysis ◽  
Variable Step ◽  
Image Pixels ◽  
Image Encryption Algorithm

In this paper, an image encryption algorithm based on a hyperchaotic system and variable-step Josephus problem is proposed. Based on an in-depth analysis of the classic Josephus problem, a new variable-step Josephus problem that combines the pseudorandom sequence with the Josephus problem is proposed. Firstly, the hash value of the plaintext image is calculated, which is converted to the initial value of the chaotic system. Secondly, the chaotic system is iterated to generate four pseudorandom sequences X, Y, Z, and W. The sequences X, Y, and Z are input as parameters into the variable-step Josephus function to scramble the positions of the rows, pixel bits, and columns of the image, respectively. Finally, the elements of the sequence W and the image pixels are used to perform the addition operation. According to the experiments, the information entropy of the encrypted image with size 256 ∗ 256 reaches 7.997 and the adjacent correlations in three directions are within ±0.01. The experimental results show that image encryption algorithm proposed in this paper has plaintext sensitivity and can resist the common attacks.

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