Design of Nonlinear Component of Block Cipher Over Non-Chain Semi-Local Ring with its Application to Color Image Encryption

Safdar, Muhammad Umair; Shah, Tariq; Ali, Asif

doi:10.1007/s13369-024-09010-9

Arab J Sci Eng

2024

DOI: 10.1007/s13369-024-09010-9

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Design of Nonlinear Component of Block Cipher Over Non-Chain Semi-Local Ring with its Application to Color Image Encryption

Muhammad Umair Safdar,

Tariq Shah,

Asif Ali

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2024

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Cited by 4 publications

References 31 publications

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Enhancing image data security with chain and non-chain Galois ring structures

Safdar,

Shah,

Ali

2024

Mathematics and Computers in Simulation

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Enhancing image data security with chain and non-chain Galois ring structures

Safdar,

Shah,

Ali

2024

Mathematics and Computers in Simulation

View full text Add to dashboard Cite

A novel image encryption method based on the cycle replacement

Wang,

Liu,

et al. 2024

Phys. Scr.

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For the bit-level image encryption algorithms, pixel values and positions can be changed simultaneously. The operation can enhance the security of image encryption but will require the complicated calculations. Therefore, high security and suitable computation for a new algorithm are needed to be considered. In this paper, a novel image encryption algorithm, which combines the bit-level encryption and the pixel-level encryption methods, is proposed based on the cycle replacement. Firstly, a new 2-dimensional (2D) map with a hyperbolic cosine function (2D-Cosh map) is introduced, which has rich and complex dynamics. Based on the chaotic characteristic of the map, an image encryption algorithm is introduced via the substitution of bit of pixels which can scramble the pixels, and change the image pixel positions effectively. Numerical simulation and security analysis are used to demonstrate the effectiveness and feasibility of the algorithm. From which we can see that the correlation coefficients are almost 0, average entropy = 7.9973, average NPCR = 99.6104%, and average UACI = 33.4664%. It is clear that the algorithm is resistant to differential attacks, interference attacks, and can reduce the correlation of adjacent pixels of the encrypted image greatly. Meanwhile, the algorithm has no limit for the size of a color image in the process of the encryption.

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The implementation of algebraic complex lookup tables over non-chain Galois ring extensions and Henon map in multimedia security

Safdar,

Shah,

Ali

2024

Phys. Scr.

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Image encryption is crucial for web-based data storage and transmission. Complex algebraic structures play a vital role in providing unique features and binary operations. However, current algebraic-based techniques face challenges due to limited key space. To tackle this issue, our study uniquely connects the algebraic structures with a chaotic map. The study introduces a complex non-chain Galois ring structure and a 12-bit substitution box for image substitution. An affine map is utilized to permute image pixels, and the 12-bit substitution box is uniquely mapped to a Galois field for encryption. A two-dimensional Henon map is employed to generate different keys for the XOR operation, resulting in an encrypted image. The resilience of the scheme against various attacks is evaluated using statistical, differential, and quality measures, showcasing its effectiveness against well-known attacks.

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Design of Nonlinear Component of Block Cipher Over Non-Chain Semi-Local Ring with its Application to Color Image Encryption

Cited by 4 publications

References 31 publications

Enhancing image data security with chain and non-chain Galois ring structures

Enhancing image data security with chain and non-chain Galois ring structures

A novel image encryption method based on the cycle replacement

The implementation of algebraic complex lookup tables over non-chain Galois ring extensions and Henon map in multimedia security

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