Speed Image Encryption Scheme using Dynamic Galois Field GF(P) Matrices

The nonlinear transformation concedes as S-box which is responsible for the certainty of contemporary block ciphers. Many kinds of S-boxes are planned by various authors in the literature. Construction of S-box with a powerful cryptographic analysis is the vital step in scheming block cipher. Through this paper, we give more powerful and worthy S-boxes and compare their characteristics with some previous S-boxes employed in cryptography. The algorithm program planned in this paper applies the action of projective general linear group P G L 2 , G F 2 8 on Galois field G F 2 8 . The proposed S-boxes are constructed by using Mobius transformation and elements of Galois field. By using this approach, we will encrypt an image which is the preeminent application of S-boxes. These S-boxes offer a strong algebraic quality and powerful confusion capability. We have tested the strength of the proposed S-boxes by using different tests, BIC, SAC, DP, LP, and nonlinearity. Furthermore, we have applied these S-boxes in image encryption scheme. To check the strength of image encryption scheme, we have calculated contrast, entropy, correlation, energy, and homogeneity. The results assured that the proposed scheme is better. The advantage of this scheme is that we can secure our confidential image data during transmission.

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Chaos-based image encryption scheme using Galois field for fast and secure transmission

10.1117/12.765718 ◽

2008 ◽

Author(s):

Shan Suthaharan

Keyword(s):

Image Encryption ◽

Galois Field ◽

Encryption Scheme ◽

Secure Transmission

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Chaotic Color Image Encryption Scheme Using Deoxyribonucleic Acid (DNA) Coding Calculations and Arithmetic over the Galois Field

Mathematical Problems in Engineering ◽

10.1155/2020/3965281 ◽

2020 ◽

Vol 2020 ◽

pp. 1-22 ◽

Cited By ~ 1

Author(s):

Lilian Huang ◽

Shiming Wang ◽

Jianhong Xiang ◽

Yi Sun

Keyword(s):

Image Encryption ◽

Simulation Analysis ◽

Color Image ◽

Galois Field ◽

Largest Lyapunov Exponent ◽

Encryption Scheme ◽

Color Image Encryption ◽

One Dimensional ◽

Dna Coding ◽

Key Space

This paper proposes a chaotic color image encryption scheme based on DNA-coding calculations and arithmetic over the Galois field. Firstly, three modified one-dimensional (1D) chaotic maps with larger key space and better chaotic characteristics are presented. The experimental results show that their chaotic intervals are not only expanded to 0,15, but their average largest Lyapunov Exponent reaches 10. They are utilized as initial keys. Secondly, DNA coding and calculations are applied in order to add more permutation of the cryptosystem. Ultimately, the numeration over the Galois field ensures the effect for the diffusion of pixels. The simulation analysis shows that the encryption scheme proposed in this paper has good encryption effect, and the numerical results verify that it has higher security than some of the latest cryptosystems.

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A Secure Image Encryption Scheme using Chaos and Wavelet Transformations

Recent Patents on Engineering ◽

10.2174/1872212111666170223165916 ◽

2018 ◽

Vol 12 (1) ◽

pp. 5-14 ◽

Cited By ~ 1

Author(s):

Bhaskar Mondal ◽

Tarni Mandal ◽

Danish Ali Khan ◽

Tanupriya Choudhury

Keyword(s):

Image Encryption ◽

Encryption Scheme ◽

Wavelet Transformations

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A novel image encryption scheme based on multi-directional diffusion technique and integrated chaotic map

Neural Computing and Applications ◽

10.1007/s00521-021-06077-5 ◽

2021 ◽

Author(s):

Milad Riyahi ◽

Marjan Kuchaki Rafsanjani ◽

Rouzbeh Motevalli

Keyword(s):

Image Encryption ◽

Chaotic Map ◽

Encryption Scheme ◽

Directional Diffusion ◽

Diffusion Technique

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Hyperchaotic Image Encryption Based on Multiple Bit Permutation and Diffusion

Entropy ◽

10.3390/e23050510 ◽

2021 ◽

Vol 23 (5) ◽

pp. 510

Author(s):

Taiyong Li ◽

Duzhong Zhang

Keyword(s):

Big Data ◽

Lyapunov Exponents ◽

Image Encryption ◽

Hyperchaotic System ◽

Encryption Scheme ◽

Image Content ◽

Image Security ◽

Level Data ◽

Different Types ◽

And Diffusion

Image security is a hot topic in the era of Internet and big data. Hyperchaotic image encryption, which can effectively prevent unauthorized users from accessing image content, has become more and more popular in the community of image security. In general, such approaches conduct encryption on pixel-level, bit-level, DNA-level data or their combinations, lacking diversity of processed data levels and limiting security. This paper proposes a novel hyperchaotic image encryption scheme via multiple bit permutation and diffusion, namely MBPD, to cope with this issue. Specifically, a four-dimensional hyperchaotic system with three positive Lyapunov exponents is firstly proposed. Second, a hyperchaotic sequence is generated from the proposed hyperchaotic system for consequent encryption operations. Third, multiple bit permutation and diffusion (permutation and/or diffusion can be conducted with 1–8 or more bits) determined by the hyperchaotic sequence is designed. Finally, the proposed MBPD is applied to image encryption. We conduct extensive experiments on a couple of public test images to validate the proposed MBPD. The results verify that the MBPD can effectively resist different types of attacks and has better performance than the compared popular encryption methods.

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