Image Encryption Algorithm Based on a Hyperchaotic System and Fractional Fourier Transform

2019 ◽  
Vol 23 (5) ◽  
pp. 805-809
Author(s):  
Yang Liu ◽  
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Fractional Fourier Transform ◽  
Correlation Coefficients ◽  
Hyperchaotic System ◽  
Secret Key ◽  
Encrypted Image ◽  
Key Space ◽  
Highly Sensitive ◽  
Image Encryption Algorithm

An image encryption scheme that combines a hyperchaotic system with standard weighted fractional Fourier transform theory is proposed. Simulation results showed that grayscale distribution of the encrypted image was balanced, correlation coefficients of adjacent pixels were highly irrelevant, and the encrypted image was highly sensitive to the secret key, offering good robustness against attacks and a larger key space.

scholarly journals A Nature Inspired Color Image Encryption Technique to Protect the Satellite Images

2019 ◽  
Vol 9 (03) ◽  
Author(s):  
Bhagyashri I. Pandurangi R ◽  
Meenakshi R. Patil
Keyword(s):  
Image Encryption ◽  
Color Image ◽  
Random Sequence ◽  
Correlation Coefficients ◽  
Secret Key ◽  
Color Image Encryption ◽  
Encrypted Images ◽  
Differential Attacks ◽  
Crossover And Mutation ◽  
Image Encryption Algorithm

A color image encryption algorithm based on chaotic maps is proposed in this paper. The algorithm is based on two bio-operations: crossover and mutation. To enhance the robustness against differential attacks, the mutated image is subjected to scrambling process operated on the pixel values of the image using a random sequence. Experimental results show that the proposed algorithm is capable of generating encrypted images with uniform distribution of the pixel values and very low correlation coefficients of adjacent pixels. It is very sensitive to any change in the secret key values. The results show that the algorithm is robust to statistical and differential attacks.

scholarly journals A new secure image encryption algorithm based on a 5D hyperchaotic map

PLoS ONE ◽  
2020 ◽  
Vol 15 (11) ◽  
pp. e0242110
Author(s):  
Dejian Fang ◽  
Shuliang Sun
Keyword(s):  
Image Encryption ◽  
Secure Communication ◽  
Dimensional System ◽  
Hyperchaotic System ◽  
Key Space ◽  
Number Sequences ◽  
Low Dimensional ◽  
Encryption Method ◽  
Differential Attacks ◽  
Image Encryption Algorithm

Image encryption is an effective method for protecting private images during communication. In this paper, a novel image encryption method is proposed based on a 5D hyperchaotic system. Since a 5D hyperchaotic system can generate more complex dynamic behavior than a low-dimensional system, it is used in this paper to generate pseudorandom number sequences. The generated sequences are processed to obtain new sequences. The randomness of the new sequences is improved by recombination and rearrangement. The experimental results and theoretical analysis show that the method possesses a large key space and can resist differential attacks, statistical analysis, entropy analysis, clipping attacks and noise attacks. Therefore, it is very secure and can be used for secure communication.

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.

scholarly journals Chaotic Image Encryption Design Using Tompkins-Paige Algorithm

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Shahram Etemadi Borujeni ◽  
Mohammad Eshghi
Keyword(s):  
Image Encryption ◽  
Logistic Map ◽  
Correlation Coefficients ◽  
Chi Square ◽  
Encrypted Image ◽  
Key Space ◽  
Chi Square Test ◽  
Plain Image ◽  
The Difference ◽  
Pixel Substitution

In this paper, we have presented a new permutation-substitution image encryption architecture using chaotic maps and Tompkins-Paige algorithm. The proposed encryption system includes two major parts, chaotic pixels permutation and chaotic pixels substitution. A logistic map is used to generate a bit sequence, which is used to generate pseudorandom numbers in Tompkins-Paige algorithm, in 2D permutation phase. Pixel substitution phase includes two process, the tent pseudorandom image (TPRI) generator and modulo addition operation. All parts of the proposed chaotic encryption system are simulated. Uniformity of the histogram of the proposed encrypted image is justified using the chi-square test, which is less than (255, 0.05). The vertical, horizontal, and diagonal correlation coefficients, as well as their average and RMS values for the proposed encrypted image are calculated that is about 13% less than previous researches. To quantify the difference between the encrypted image and the corresponding plain-image, three measures are used. These are MAE, NPCR, and UACI, which are improved in our proposed system considerably. NPCR of our proposed system is exactly the ideal value of this criterion. The key space of our proposed method is large enough to protect the system against any Brute-force and statistical attacks.

scholarly journals New Image Encryption Algorithm Using Hyperchaotic System and Fibonacci Q-Matrix

Electronics ◽  
2021 ◽  
Vol 10 (9) ◽  
pp. 1066
Author(s):  
Khalid M. Hosny ◽  
Sara T. Kamal ◽  
Mohamed M. Darwish ◽  
George A. Papakostas
Keyword(s):  
Image Encryption ◽  
Correlation Coefficients ◽  
Encryption Algorithm ◽  
Security Level ◽  
Hyperchaotic System ◽  
Secret Keys ◽  
Q Matrix ◽  
Digital Image Encryption ◽  
And Diffusion ◽  
Image Encryption Algorithm

In the age of Information Technology, the day-life required transmitting millions of images between users. Securing these images is essential. Digital image encryption is a well-known technique used in securing image content. In image encryption techniques, digital images are converted into noise images using secret keys, where restoring them to their originals required the same keys. Most image encryption techniques depend on two steps: confusion and diffusion. In this work, a new algorithm presented for image encryption using a hyperchaotic system and Fibonacci Q-matrix. The original image is confused in this algorithm, utilizing randomly generated numbers by the six-dimension hyperchaotic system. Then, the permutated image diffused using the Fibonacci Q-matrix. The proposed image encryption algorithm tested using noise and data cut attacks, histograms, keyspace, and sensitivity. Moreover, the proposed algorithm’s performance compared with several existing algorithms using entropy, correlation coefficients, and robustness against attack. The proposed algorithm achieved an excellent security level and outperformed the existing image encryption algorithms.

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