Non-Associative Algebra Redesigning Block Cipher with Color Image Encryption

Sanam, Nazli; Ali, Asif; Shah, Tariq; Farooq, Ghazanfar

doi:10.32604/cmc.2021.014442

Cited by 13 publications

(7 citation statements)

References 29 publications

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“…is applies to (a, b, c, d, k, x 1 , x 2 , x 3 , x 4 ) as well. us, there are 2 54 possible values of (a, b, c, d, k, x 1 , x 2 , x 3 , x 4 ). ( 2) e initial values of hyperchaotic system (x 1 , x 2 , x 3 ) are obtained by iterating system; each has 14 decimal places with the range between 0 and 1, and there exist 10 14 possible values for each value.…”

Section: Key Space Analysismentioning

confidence: 99%

“…Normally, three different types of correlation are performed to ensure the strength of the encrypted image: the horizontal, the vertical, and the diagonal correlation [54]. To evaluate the proposed encryption scheme, 3000 pairs of adjacent pixels are selected randomly in the three different adjacent directions in both original and encrypted images of the different sample images to calculate the correlation coefficient.…”

Section: Correlation Coefficient Analysismentioning

confidence: 99%

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Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System

2022

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Topic of quantum chaos has begun to draw increasing attention in recent years. So, to ensure the security of digital image, an image encryption algorithm based on combining a hyperchaotic system and quantum 3D logistic map is proposed. This algorithm is applied in four stages. Initially, the key generator builds upon the foundation of mean for any row or column of the edges of the plain image. Its output value is used to yield initial conditions and parameters of the proposed image encryption scheme. Next, it diffuses the plain image by the random sequences generated by 3D hyperchaotic system, and the diffusion process is realized by implementing XOR operation. Then, the diffused image and chaotic sequences are produced by the 3D quantum chaotic logistic map, expressed as a quantum superposition state using density matrix which is a representation of the state of a quantum system, and finally the resulting quantum image is then confused and diffused simultaneously by a unitary matrix generated by logistic chaos using XNOR operation to obtain the final cipher image. Because of the dependence on the plain image, the algorithm can frustrate the chosen-plaintext and known-plaintext attacks. Simulation results and theoretical analysis verify that the presented scheme has high safety performance, a good encryption effect, and a large key space. The method can effectively resist exhaustive, statistical, and differential attacks. Moreover, the encryption time of the proposed method is satisfactory, and the method can be efficiently used in practice for the secure transmission of image information.

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Section: Key Space Analysismentioning

confidence: 99%

Section: Correlation Coefficient Analysismentioning

confidence: 99%

Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System

2022

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“…Symmetric group of order 16 is also used in their technique to permute the entries of the proposed S-box. Nazli et al [29] have intended two new techniques to construct S-box using a Left Almost (LA) Ring. In the first technique, the process begins with the sub-LA-module of a special LA-ring and 𝐺𝐹 (2 8 ).…”

Section: Related Workmentioning

confidence: 99%

Designing of Nonlinear component of Block Cipher by a Moufang Loop and its Application in Image Encryption

Hussain

Shah

Ali

et al. 2022

Preprint

Self Cite

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In this paper, we propose an algorithm for constructing a nonlinear component of block cipher by using the non-associative class of Moufang Loops (ML) and with the help of this nonlinear component design a cryptosystem for image encryption. The ML includes excellent features such as the inverse of zero elements, weak associativity, and fewer constraints in comparison with cyclic groups and Galois fields. The construction of a nonlinear component (substitution box, briefly, S-box) consists of bijective loop operations and permutations. There are two permutations, first by using a bijective map and second by using ML. This proposed S-box is used in an image encryption scheme. The encryption scheme consists of five steps. Firstly, the plain image is converted into the matrix and multiplies this matrix with an upper triangular matrix of ones. Then, substitute this output matrix with the values of the S-box and shuffle the pixels by using a logistic map. After this, multiply this output matrix with a self-invertible matrix. The evaluation of the proposed S-box with different algebraic and statistical analyses like nonlinearity test, strict avalanche criterion, bit independence criterion, linear approximation probability, and differential approximation probability indicates the strength of the proposed S-box. The presented procedure of image encryption also delivers excellent security in response to known cryptographic assaults as founded by the many statistical analysis and security assessments.

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“…Therefore, there are more converter stations built in China. Under the same power conversion conditions, the cost of UAV converter station is lower, and the line loss is smaller [4][5][6] , which is more suitable for China's power supply and distribution environment. However, in recent years, the internal equipment arrangement of UAV converter station in China has become more and more dense, and the composition complexity has become higher and higher.…”

Section: Introductionmentioning

confidence: 99%

Encryption and return method of inspection image of UAV converter station based on chaotic sequence

Li,

Lai,

Shi

et al. 2024

International Conference on Algorithm, Imaging Processing, and Machine Vision (AIPMV 2023)

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Conventional encryption and return method of UAV converter station inspection image mainly uses Fibonacci scrambling technology to generate two-dimensional encryption mapping, which is easily affected by pixel iteration, resulting in a high difference in peak signal-to-noise ratio. Therefore, a new encryption and return method of UAV converter station inspection image is needed, and an encryption and return algorithm of UAV converter station inspection image is designed based on chaotic sequence. The experimental results show that the difference between the peak signal-to-noise ratio (PSNR) before and after the encrypted return of the inspection encrypted image of the UAV converter station is small, which proves that the encrypted return of the inspection encrypted image is effective, reliable and has certain application value, and has made certain contributions to improving the inspection effect of the UAV converter station.

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Non-Associative Algebra Redesigning Block Cipher with Color Image Encryption

Cited by 13 publications

References 29 publications

Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System

Fast and Robust Image Encryption Scheme Based on Quantum Logistic Map and Hyperchaotic System

Designing of Nonlinear component of Block Cipher by a Moufang Loop and its Application in Image Encryption

Encryption and return method of inspection image of UAV converter station based on chaotic sequence

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