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 a Novel Improper Fractional-Order Attractor and a Wavelet Function Map

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Jian-feng Zhao ◽  
Shu-ying Wang ◽  
Li-tao Zhang ◽  
Xiao-yan Wang
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Three Dimensional ◽  
Wavelet Function ◽  
Encryption Algorithm ◽  
Discrete Wavelet ◽  
State Variables ◽  
Secret Key ◽  
Initial State ◽  
Image Encryption Algorithm

This paper presents a three-dimensional autonomous chaotic system with high fraction dimension. It is noted that the nonlinear characteristic of the improper fractional-order chaos is interesting. Based on the continuous chaos and the discrete wavelet function map, an image encryption algorithm is put forward. The key space is formed by the initial state variables, parameters, and orders of the system. Every pixel value is included in secret key, so as to improve antiattack capability of the algorithm. The obtained simulation results and extensive security analyses demonstrate the high level of security of the algorithm and show its robustness against various types of attacks.

scholarly journals Breaking an Image Encryption Algorithm Based on DNA Encoding and Spatiotemporal Chaos

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 246 ◽  
Author(s):  
Heping Wen ◽  
Simin Yu ◽  
Jinhu Lü
Keyword(s):  
Image Encryption ◽  
Spatiotemporal Chaos ◽  
Encryption Algorithm ◽  
Secret Key ◽  
Dna Encoding ◽  
Fixed Position ◽  
Base Position ◽  
Dna Base ◽  
Chosen Ciphertext Attack ◽  
Image Encryption Algorithm

Recently, an image encryption algorithm based on DNA encoding and spatiotemporal chaos (IEA-DESC) was proposed. In IEA-DESC, pixel diffusion, DNA encoding, DNA-base permutation and DNA decoding are performed successively to generate cipher-images from the plain-images. Some security analyses and simulation results are given to prove that it can withstand various common attacks. However, in this paper, it is found that IEA-DESC has some inherent security defects as follows: (1) the pixel diffusion is invalid for attackers from the perspective of cryptanalysis; (2) the combination of DNA encoding and DNA decoding is equivalent to bitwise complement; (3) the DNA-base permutation is actually a fixed position shuffling operation for quaternary elements, which has been proved to be insecure. In summary, IEA-DESC is essentially a combination of a fixed DNA-base position permutation and bitwise complement. Therefore, IEA-DESC can be equivalently represented as simplified form, and its security solely depends on the equivalent secret key. So the equivalent secret key of IEA-DESC can be recovered using chosen-plaintext attack and chosen-ciphertext attack, respectively. Theoretical analysis and experimental results show that the two attack methods are both effective and efficient.

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 A Novel Image Encryption Algorithm Based on DNA Subsequence Operation

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Qiang Zhang ◽  
Xianglian Xue ◽  
Xiaopeng Wei
Keyword(s):  
Image Encryption ◽  
Chaotic Map ◽  
Security Analysis ◽  
Experimental Results ◽  
Encryption Algorithm ◽  
Secret Key ◽  
Logistic Chaotic Map ◽  
Image Encryption Algorithm

We present a novel image encryption algorithm based on DNA subsequence operation. Different from the traditional DNA encryption methods, our algorithm does not use complex biological operation but just uses the idea of DNA subsequence operations (such as elongation operation, truncation operation, deletion operation, etc.) combining with the logistic chaotic map to scramble the location and the value of pixel points from the image. The experimental results and security analysis show that the proposed algorithm is easy to be implemented, can get good encryption effect, has a wide secret key's space, strong sensitivity to secret key, and has the abilities of resisting exhaustive attack and statistic attack.

scholarly journals IMAGE ENCRYPTION FOR SECURE INTERNET TRANSFER

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
V Goutham Bharadwaja ◽  
Yashas M S ◽  
Yathendra Yadav T V ◽  
Gelvesh G
Keyword(s):  
Image Encryption ◽  
Input Image ◽  
Encryption Algorithm ◽  
Secret Key ◽  
Image Transfer ◽  
Important Data ◽  
Aes Algorithm ◽  
Encryption And Decryption ◽  
Chaos Sequence ◽  
Image Encryption Algorithm

Security is a crucial side to preserve the confidentiality of information such as pictures and text. The probability of an assailant attempting to access the image in the course of transferring process is high as assailant may get hold of important data. Therefore, encryption methods are used for securing the data. A novel image encryption algorithm that is a combination of the AES algorithm and the chaos sequence is proposed in this paper. The project will use AES for encryption and decryption of the image transfer because AES is capable of solving problem that cannot be resolved by different algorithms. The original image is transformed into cipher-image using a share secret key and this process is called encryption while the reverse of encryption process is known as decryption. This method’s sensitivity to the initial values and input image, even the tiniest changes within these values will result in significant changes in the encrypted image. We show that this approach can shield the image against different attacks exploitation using histogram analysis.

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 A digital image encryption algorithm based on chaotic mapping

2019 ◽  
Vol 13 ◽  
pp. 174830261985347 ◽  
Author(s):  
Zhijuan Deng ◽  
Shaojun Zhong
Keyword(s):  
Image Encryption ◽  
Digital Image ◽  
Encryption Algorithm ◽  
Experimental Simulation ◽  
Secret Key ◽  
Chaotic Mapping ◽  
Key Space ◽  
Encrypted Images ◽  
Digital Image Encryption ◽  
Image Encryption Algorithm

In this article, we introduced a digital image encryption algorithm based on the chaotic mapping designed by Xiong et al. In their paper, the authors theoretically analyzed the algorithm and pointed out that the algorithm did not need to have the prior knowledge of the orbital distribution and one can select any chaotic model. In this way, the algorithm greatly expanded the cryptographic space and greatly reduced the number of iterations of the mapping. Since the algorithm has many characteristics, for instance, it is sensitive to the secret key, its key space is big, the pixel is well distributed after being encrypted, etc., the security of the encrypted images can be assured effectively. However, since the algorithm applied the image scrambling for encryption, and did not take the chosen-plaintext attacks into consideration, the algorithm is relatively weak in resisting the chosen-plaintext attacks. Therefore, we put forward a kind of image replacement method based on chaos, which can resist the chosen-plaintext attacks. And the experimental simulation proves that this algorithm not only has many characteristics, for instance, it is sensitive to the secret key, its key space is big, the pixel is well distributed after being encrypted, etc., but also can resist the chosen-plaintext attacks effectively. In the meanwhile, the algorithm is very sensitive to the small changes of the plaintexts, and its encrypted images will completely lose the features of the original ones.

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