The Design of a Novel Multiple-Parameter Fractional Number-Theoretic Transform and Its Application to Image Encryption

Neto, Jose R. de Oliveira; Lima, Juliano B.; Panario, Daniel

doi:10.1109/tcsvt.2019.2925522

Cited by 15 publications

(4 citation statements)

References 61 publications

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“…Similar to the design logic proposed in the study, other design studies have highlighted the key generator [52][53][54] and used best practices of modern cryptology science [55][56][57]. Quantum systems [58,59], fractional systems [60][61][62], and medical encryption algorithms [63][64][65], which have attracted attention recently, are other current topics related to design proposals.…”

Section: Analysis Of Proposed Architecturementioning

confidence: 88%

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SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

Muhammad

Özkaynak

2021

Symmetry

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One of the general problems in modern digital society is undoubtedly the information security topic. It is critical to ensure the security of information transferred, processed, and stored throughout digital channels. Among this information, digital images draw attention in terms of frequency of use in digital channels. In this study, a new image encryption algorithm is proposed to address the security problems of digital images. The aspect that differentiates the proposed algorithm from thousands of image encryption algorithms in the literature is that it is designed within the framework of the provable security design principle. The provable security design approach has ensured that the proposed algorithm is theoretically secure with mathematical proof techniques. In addition to addressing the proposed architecture security concerns, the hybrid random number generator used as the key generator constitutes another unique aspect. This generator, which was designed using chaotic systems, physical unclonable functions, and optimization algorithms, stands out as the innovative aspect of the study. The statistical randomness properties of the proposed random number generator were tested using the NIST SP 800-22 Statistical Test Suite. Successful results were obtained for 15 tests in the test package. In addition, the success of these outputs was tested on a new image encryption algorithm. The security of the proposed algorithm was tested from different angles using various experimental analyzes and a 12-step provable security analysis roadmap. Successful analysis results and performance measurements indicate that the proposed cryptographic components can be used in many information security applications and many future designs.

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Section: Analysis Of Proposed Architecturementioning

confidence: 88%

“…science [55][56][57]. Quantum systems [58,59], fractional systems [60][61][62], and medical encryption algorithms [63][64][65], which have attracted attention recently, are other current topics related to design proposals. The encrypted images obtained for the sample test images in Figure 8 using the proposed algorithm are given in Figure 9.…”

Section: Discussionmentioning

confidence: 99%

SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

Muhammad

Özkaynak

2021

Symmetry

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“…The histogram for an image depicts how pixel values are spread throughout it. For a simple image, the histogram should exhibit a non-uniform pattern, showing variations in pixel intensity levels [9,19,20].…”

Section: Statical Attack Analysismentioning

confidence: 99%

“…To analyze the robustness of the suggested image encryption method, we use the cutting attack. The MSE and PSNR between the simple image and the decrypted image are essential for assessing the decrypted image, and they are calculated as ( 6) and ( 7) [8,19,24].…”

Section: Robustness Analysismentioning

confidence: 99%

Securing Color Images with an Innovative Hybrid Method Combining DNA Computing and Chaotic Systems

Mansouri,

El ghouate,

Tahiri

et al. 2024

Stat., optim. inf. comput.

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Modern cryptography is a key element of data security, ensuring the confidentiality and integrity of information. In an increasingly digital world, cryptography remains crucial for the protection of sensitive data. In this context, we propose a novel hybrid security system for encrypted color images using a DNA model, chaotic systems, and SHA256-MD5 hash functions as a basis. The proposed hybrid system includes DNA permutation and diffusion. In DNA permutation, we unpredictably rearrange the location of DNA image elements by using the logistic map of low computational complexity. In DNA diffusion, we diffuse the permuted image of DNA with the DNA image key generated by a 5D hyper-chaotic system, using a variety of algebraic operators such as the circular offset in both directions. Considering the experimental outcomes and security evaluation, we can infer that the proposed hybrid security system demonstrates a high level of security, resistance to existing attacks, and practical application suitability while maintaining speed.

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A trigonometric approach for Dickson polynomials over fields of characteristic two

Lima

Panario

2020

AAECC

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The Design of a Novel Multiple-Parameter Fractional Number-Theoretic Transform and Its Application to Image Encryption

Cited by 15 publications

References 61 publications

SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

SIEA: Secure Image Encryption Algorithm Based on Chaotic Systems Optimization Algorithms and PUFs

Securing Color Images with an Innovative Hybrid Method Combining DNA Computing and Chaotic Systems

A trigonometric approach for Dickson polynomials over fields of characteristic two

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