A generalized Arnold’s Cat Map transformation for image scrambling

Tora, Hakan; Gokcay, Erhan; Turan, Mehmet; Buker, Mohamed

doi:10.1007/s11042-022-11985-2

Cited by 12 publications

(6 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, Hakan Tora et al introduced a novel method for generating the transformation matrix of Arnold's Cat Map (ACM), enhancing security by expanding the matrix space and making it harder to predict Tora et al (2022). This approach removes the fixed structure limitation of traditional ACM matrices, leading to a larger set of transform matrices with no predictable pattern.…”

Section: Related Workmentioning

confidence: 99%

A chaotic based image encryption scheme using elliptic curve cryptography and genetic algorithm

Kumar,

Sharma

2024

Artif Intell Rev

View full text Add to dashboard Cite

In the era of digital communication and data security, image encryption plays a crucial role in safeguarding sensitive information. Protecting sensitive visual data from unauthorized access drives the pursuit of advanced image encryption methods. This paper proposes a novel approach to enhance image encryption by combining the power of a chaotic map, elliptic curve cryptography, and genetic algorithm. The chaotic map, specifically Arnold’s cat map, is employed to introduce chaos and randomness into the encryption process. The proposed image encryption process involves applying Arnold’s cat map for shuffling the pixel positions, followed by elliptic curve cryptography for encrypting the pixel values using public and private keys. Additionally, a genetic algorithm is employed to optimize the key generation process, enhancing the security of the encryption scheme. The combined utilization of these techniques aims to achieve a high level of confidentiality and robustness in image encryption. The algorithm underwent thorough analysis. It achieved a maximum entropy score of 7.99, indicating a high level of randomness and unpredictability in the encrypted data. Additionally, it exhibited near-zero correlation, which suggests strong resistance against statistical attacks. Moreover, the cryptographic range of possible keys was found to be $$2^{511}$$ 2 511 . This extensive key space makes the algorithm highly resilient against brute force attacks. It took only 0.5634 s to encrypt a moderately sized $$512\times 512$$ 512 × 512 pixel image with an 8-bit image on a standard desktop computer with a 2.3 GHz processor and 16 GB of RAM. The experimental findings confirm that the proposed approach is highly effective and efficient in safeguarding sensitive image data from unauthorized access and potential attacks. This scheme has the benefit of allowing us to protect our private image data while it’s being transmitted.

show abstract

Section: Related Workmentioning

confidence: 99%

A chaotic based image encryption scheme using elliptic curve cryptography and genetic algorithm

Kumar,

Sharma

2024

Artif Intell Rev

View full text Add to dashboard Cite

show abstract

“…Block scrambling 2.4.1. Arnold pixel scrambling Arnold pixel scrambling is a discrete mathematical transformation commonly used in image processing [31]. The mathematical expression for its transformation is as follows:…”

Section: Tent-logistic-cosine (Tlc) Chaotic Mappingmentioning

confidence: 99%

Color image encryption algorithm based on quantum random walk and multiple reset scrambling*

Mou,

Dong

2024

Phys. Scr.

View full text Add to dashboard Cite

In order to solve the problems of privacy leakage, data string modification and attack threats in the field of image encryption information security, and at the same time ensure the security, integrity and reliability of image data. In this paper, we introduce a novel hybrid color image encryption scheme that increases the complexity of the key space and provides better data integrity protection by combining quantum random walk and SHA-256 algorithm. At the same time, the three chaotic systems are combined and multiple XOR operations are introduced to effectively scramble the space and pixel levels of the color image. Through a large number of simulation experiments and security analysis, the results show that the scheme has efficient encryption performance, excellent ability to resist attacks and excellent privacy protection ability.

show abstract

“…The Arnold transform is area-preserving, meaning that it does not change the overall pixels in the image. However, it does scramble the pixels so that they are no longer correlated with their original positions [6]. Table I shows the scrambling cycle of Arnold transform based on size of image.…”

Section: A Arnold Transformationmentioning

confidence: 99%

An Integrated Arnold and Bessel Function-based Image Encryption on Blockchain

Yadav,

Vishwakarma

2024

IJACSA

View full text Add to dashboard Cite

Images store large amount of information that are used in visual representation, analysis, and expression of data. Storage and retrieval of images possess a greater challenge to researchers globally. This research paper presents an integrated approach for image encryption and decryption using an Arnold map and first-order Bessel function-based chaos. Traditional methods of image encryption are generally based on single algorithms or techniques, making them vulnerable to various security threats. To address these challenges, our novel method combines the robustness of Arnold transformation with the unique properties of Bessel functions-based chaos. Furthermore, we implemented the decentralized nature of blockchain technology for storing and managing encryption keys securely. By utilizing blockchain's tamper-resistant and transparent ledger, we enhance the integrity and traceability of the encryption process, mitigating the risk of unauthorized access or tampering. The proposed method leverages the chaotic behavior of Bessel function for enhancing security of encryption process. A chaos obtained from first order Bessel function has been utilized for encryption key for encryption after Arnold transformation. The obtained cypher text is stored in blockchain in form of encrypted blocks for secured storage and added security. Experimental evaluations demonstrate the efficiency, effectiveness and robustness of our proposed encryption method when compared with performance of previously developed techniques highlighting the superiority of the proposed method in protecting image data against unauthorized access.

show abstract

A generalized Arnold’s Cat Map transformation for image scrambling

Cited by 12 publications

References 14 publications

A chaotic based image encryption scheme using elliptic curve cryptography and genetic algorithm

A chaotic based image encryption scheme using elliptic curve cryptography and genetic algorithm

Color image encryption algorithm based on quantum random walk and multiple reset scrambling*

An Integrated Arnold and Bessel Function-based Image Encryption on Blockchain

Contact Info

Product

Resources

About