Images encryption algorithm based on the quaternion multiplication and the XOR operation

Boussif, Mohamed; Aloui, Noureddine; Cherif, Adnane

doi:10.1007/s11042-019-08108-9

Cited by 19 publications

(9 citation statements)

References 30 publications

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“…We can also find that with the increase of pixel diffusion times, the correlation coefficient is closer to 0. The comparative test results are given in the Table 3, which shows that the value of the algorithm in this paper is closer to 0 compared with similar encryption algorithms of Refs [13,40].…”

Section: Correlation Coefficient Textmentioning

confidence: 77%

“…The minimum variance of the original image is about 2.1193 × 10 4 , while the minimum variance of the password image decreases to about 7974.6, which shows that the histogram distribution of the password image is evenly distributed, and our algorithm is highly secure. In the scheme proposed in the paper, the average value of the λ 2 is only 254.5, which is lower than that of Refs [13,40]. * The encryption method of color image is not given in Ref [13].…”

Section: The λ 2 Textmentioning

confidence: 88%

“…Here,𝑥 and 𝑥 are the numbers of pixels in which gray values are equal to i and j. Compared with algorithm of Refs [13,40], the 𝜆 and variance of the proposed algorithm are better, as shown in Table 2. We can draw another conclusion: the variance of the five images is smaller than that of the original image.…”

Section: The 𝜆 Textmentioning

confidence: 98%

“…Encryption algorithm has the stronger ability to resist attack if the correlation between adjacent pixels of cipher-text image is lower. The correlation coefficient is calculated as [40]:…”

Section: Correlation Coefficient Textmentioning

confidence: 99%

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Image Encryption Algorithm Using 2-Order Bit Compass Coding and Chaotic Mapping

Chen

Sun

et al. 2022

Symmetry

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This paper proposes a novel image encryption algorithm based on an integer form of chaotic mapping and 2-order bit compass diffusion technique. Chaotic mapping has been widely used in image encryption. If the floating-point number generated by chaotic mapping is applied to image encryption algorithm, it will slow encryption and increase the difficulty of hardware implementation. An innovative pseudo-random integer sequence generator is proposed. In chaotic system, the result of one-iteration is used as the shift value of two binary sequences, the original symmetry relationship is changed, and then XOR operation is performed to generate a new binary sequence. Multiple iterations can generate pseudo-random integer sequences. Here integer sequences have been used in scrambling of pixel positions. Meanwhile, this paper demonstrates that there is an inverse operation in the XOR operation of two binary sequences. A new pixel diffusion technique based on bit compass coding is proposed. The key vector of the algorithm comes from the original image and is hidden by image encryption. The efficiency of our proposed method in encrypting a large number of images is evaluated using security analysis and time complexity. The performance evaluation of algorithm includes key space, histogram differential attacks, gray value distribution(GDV),correlation coefficient, PSNR, entropy, and sensitivity. The comparison between the results of coefficient, entropy, PSNR, GDV, and time complexity further proves the effectiveness of the algorithm.

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Section: Correlation Coefficient Textmentioning

confidence: 77%

Section: The λ 2 Textmentioning

confidence: 88%

Section: The 𝜆 Textmentioning

confidence: 98%

“…Encryption algorithm has the stronger ability to resist attack if the correlation between adjacent pixels of cipher-text image is lower. The correlation coefficient is calculated as [40]:…”

Section: Correlation Coefficient Textmentioning

confidence: 99%

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Image Encryption Algorithm Using 2-Order Bit Compass Coding and Chaotic Mapping

Chen

Sun

et al. 2022

Symmetry

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show abstract

“…Image encryption approaches are categorized into symmetric and asymmetric key cryptography 5 , 6 . Recently, different architectures were proposed to encryption images such as optical image encryption 7 , 8 , DNA coding 9 , 10 , XOR operation 11 , 12 and quantum image encryption 13 – 16 . Since chaotic systems are sensitive to the initial conditions, various encryption algorithms based on chaotic systems were proposed.…”

Section: Introductionmentioning

confidence: 99%

Image compression-encryption method based on two-dimensional sparse recovery and chaotic system

Ghaffari

2021

Sci Rep

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In this paper, we propose an image compression-encryption method based on two-dimensional (2D) sparse representation and chaotic system. In the first step of this method, the input image is extended in a transform domain to obtain a sparse representation. To achieve better performance of image compression by 2D sparse recovery, the sparse representation is scrambled via a chaotic confusion. This step helps the satisfaction of the uniqueness conditions for sparse recovery, and the security level of encryption is increased. Then, two orthogonal measurement matrices are generated using the chaotic time series. The singular value decomposition is used to compress the sparse scrambled representation in two dimensions. Finally, to reduce the correlation between adjacent pixels in the compressed matrix, and obtain a uniform distribution in the encrypted image, a compressed scrambling matrix based on chaotic confusion is used. Then, XOR operation is applied for final encryption. In the decryption process, to improve the compression efficiency, the total variation constraint is added to the 2D sparse recovery problem based on the smoothed norm. The simulation results demonstrate the satisfying performance of the proposed method for different compression ratios. Security analysis describes the effectiveness of the proposed encryption approach.

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A hybrid method for data compression and encryption based on bit packing, 128-based numerals, and bitmap manipulations: application to seismic data

Abdelwahed

2020

Multimed Tools Appl

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Images encryption algorithm based on the quaternion multiplication and the XOR operation

Cited by 19 publications

References 30 publications

Image Encryption Algorithm Using 2-Order Bit Compass Coding and Chaotic Mapping

Image Encryption Algorithm Using 2-Order Bit Compass Coding and Chaotic Mapping

Image compression-encryption method based on two-dimensional sparse recovery and chaotic system

A hybrid method for data compression and encryption based on bit packing, 128-based numerals, and bitmap manipulations: application to seismic data

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