Investigation of piecewise linear chaotic map as a diffusion model for image encryption

Raghuvanshi, Kamlesh Kumar; Kumar, Sunil; Kumar, Subodh; Kumar, Sushil

doi:10.1007/s11042-023-15145-y

Cited by 5 publications

(2 citation statements)

References 29 publications

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“…Piecewise Linear Chaotic Map (PWLCM) is also a widely used mapping. In [22], Raghuvanshi K K et al used PWLCM combined with a shuffling engine to perform image diffusion and obfuscation operations. Although the encrypted image was able to resist some attacks, there are still areas that can be improved.…”

Section: Introductionmentioning

confidence: 99%

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

He,

Chen,

Wang

et al. 2024

Phys. Scr.

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The security guarantee of data transmission is becoming more crucial as the frequency of information interchange rises. Ensuring the security of images is essential since they serve as a vital transmission medium. This research suggests an image encryption method that combines the knight tour algorithm with a 6D fractional order hyperchaotic system. First, chaotic sequences are produced using a fractional order hyperchaotic system, which is then utilized to index order and jumble the entire image. To retrieve the image after the second scrambling, choose the knight tour beginning point and run ten rounds of knight tour algorithms on the scrambled image. Thirdly, to maximize the efficiency of picture encryption, employ diffusion methods. The outcomes of the imaging experiment were lastly tested and assessed. The security of the image can be successfully guaranteed by a high-dimensional fractional order hyperchaotic system. This is because its high dimensionality gives it a larger key space than the low dimensional system. This is why it can resist attacks more effectively. After a series of evaluation experiments, it is obvious that this encryption scheme has good encryption performance.

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Section: Introductionmentioning

confidence: 99%

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

He,

Chen,

Wang

et al. 2024

Phys. Scr.

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“…Li et al [15] demonstrate that the use of chaotic sequences as keys can compromise the algorithm's security. Efficiently, chaotic methods have various variations, with some, such as the PWLCM, logistic, Henon, and skew tent maps [16]- [19], being renowned for image encryption. Focusing on the logistic and PWLCM maps, they offer several advantages, including enhanced sensitivity and randomness, resulting in more secure, chaotic, and unique sequences.…”

Section: Introductionmentioning

confidence: 99%

Improved vigenere using affine functions surrounded by two genetic crossovers for image encryption

El Bourakkadi,

Chemlal,

Tabti

et al. 2024

IJEECS

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This paper presents an improved method for encrypting color images, surpassing the effectiveness of genetic crossover and substitution operations. The technique incorporates dynamic random functions to enhance the integrity of the resulting vector, increasing temporal complexity to thwart potential attacks. The improvement involves integrating genetic crossover and utilizing two extensive pseudorandom replacement tables derived from established chaotic maps in cryptography. Following the controlled vectorization of the original image, our approach initiates with a first genetic crossover inspired by deoxyribonucleic acid (DNA) behavior at the pixel level. This genetic crossover is succeeded by a confusion-diffusion lap, reinforcing the connection between encrypted pixels and their neighboring counterparts. The confusion-diffusion process employs dynamic pseudorandom affine functions at the pixel level. Then a second genetic crossover operator is applied. Simulations conducted on a diverse set of images with varying sizes and formats showcase the robustness of our method against statistical, brute-force, and differential attacks.

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Novel grayscale image encryption based on 4D fractional-order hyperchaotic system, 2D Henon map and knight tour algorithm

Ullah,

Liu,

Waheed

et al. 2024

Phys. Scr.

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With the increasing frequency of data exchange, the security of transmitted information, especially images, has become paramount. This paper proposes a novel algorithm for encrypting grayscale images of any dimension by using a proposed fractional-order (FO) 4D hyperchaotic system, 2D Henon chaotic map permutation, and the knight tour algorithm. Initially, chaotic sequences are generated by utilizing the proposed FO 4D hyperchaotic system, which are later employed to rearrange and shuffle the entire image pixels to bolster the efficacy of image encryption. To introduce an additional layer of diffusion, 2D Henon chaotic map permutation is used. Furthermore, the knight tour algorithm is applied by starting from a chosen point and executing specified rounds on the scrambled image to increase the encryption's robustness. The resultant image encryption algorithm undergoes thorough testing and evaluation. It exhibits high sensitivity to the encryption key and boasts a larger key space, rendering it more resistant to brute-force attacks. The proposed algorithm demonstrates an approximate correlation of 0 between adjacent pixels. Further, encryption of a grayscale image of size 256×256 takes approximately 0.4 seconds, rendering it more suitable for cryptographic purposes.

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Investigation of piecewise linear chaotic map as a diffusion model for image encryption

Cited by 5 publications

References 29 publications

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

An algorithm based on 6D fractional order hyperchaotic system and knight tour algorithm to encrypt image

Improved vigenere using affine functions surrounded by two genetic crossovers for image encryption

Novel grayscale image encryption based on 4D fractional-order hyperchaotic system, 2D Henon map and knight tour algorithm

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