A Henon-like chaotic map and its application in image encryption combined with compressed sensing

This paper proposes a novel chaotic DICOM image encryption algorithm based on pseudo-random polyline and rapid diffusion-scrambling. This paper proposes to preprocess the image twice in the encryption process to ensure that any type of image can be encrypted, including images with negative pixel values, which increases the practicability of the algorithm. Two pseudo-random polylines are generated to segment the image during the encryption process. The pseudo-random polylines are generated from the information of the plaintext image, which ensures that each image produces different pseudo-random polylines and increases the security of the algorithm. In the encryption process, rapid diffusion-scrambling is used to avoid the waste of extra space. And piecewise diffusion and non-adjacent matrix reading are adopted to make the encryption more unpredictable. The scheme is analyzed from the performance indicators such as pixel correlation and key space, and the results demonstrated strong security and performance of the algorithm.

Section: Robustness Testmentioning

confidence: 99%

A novel chaotic DICOM image encryption algorithm based on pseudo-random polyline and rapid diffusion-scrambling

Zhang

Teng

2023

“…Many encryption algorithms designed for text data, such as the Data Encryption Standard (DES) [10] and Advanced Encryption Standard (AES) [11], are generally unsuitable for the encryption of image because of the strong correlation among its adjacent pixels. Presently researchers are studying some new image encryption schemes with use of chaotic systems [12][13][14][15][16], DNA coding [17][18][19], compressive sensing [20,21], memristors [22,23], deep learning [24], and so on. In particular, chaotic systems are extensively applied in the encryption of image due to their high sensitivity, unpredictability, and other characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…χ 2 test χ 2 test can be used to evaluate whether the image pixel distribution is uniform or not. The χ 2 value of an image can be calculated by equation(21) as å f i denotes the number of times indicating that the pixel value i appears in the image and f = M × N/256. At a degree of freedom with 255 and a significance level with α = 0.05, the test value of χ 2 is c =…”

mentioning

confidence: 99%

Multiple-image encryption scheme based on a new 2D hyperchaotic map with blurred pixels

Zhou,

Lin,

Tan

2024

It is known that chaotic, especially hyperchaotic system can be suitable for the application in image encryption owing to itself characteristics. While currently, certain improved chaotic or hyperchaotic systems are confronted with the security issue of encryption due to their less complex dynamical behaviors. To address the problem well, we introduce a novel two-dimensional (2D) crossed hyperchaotic map which is based on the logistic map and the infinite collapse map. The analysis of phase diagram and Lyapunov exponential spectrum demonstrate that the given system can exhibit extensive hyperchaotic behavior and good traversal properties. Moreover, the growing use of digital images has prompted demand for multi-image encryption scheme. For this reason, based on the given 2D crossed hyperchaotic map, a multiple image encryption (MIE) scheme that employs a cross-plane with the operation of simultaneous permutation and diffusion to modify the values of its positions and pixels across multiple images is proposed. A pixel blur preprocessing technique is introduced such that the efficiency of key calculation and the speed and safety of information encryption are greatly improved. Eventually, some simulation examples and security analysis reveal that the put forward encryption scheme is able to keep out kinds of attacks such as the selective plaintext attacks and data loss.

“…In recent years, the utilization of chaotic systems in image encryption has gained widespread recognition owing to their ability to generate random and unpredictable behaviors, rendering them an ideal choice for encryption [15,16]. To enhance the security and efficiency of chaos-based image encryption algorithms, researchers have put forth various methodologies [17,18]. This has led to the integration of chaotic image encryption with diverse technologies, including matrix semi-tensor products [19,20], Boolean networks [21,22], neural networks [23][24][25], DNA encoding [26][27][28], elliptic curves [29,30], and quantum encryption 2.…”

Section: Introductionmentioning

confidence: 99%

Local bit-level image encryption algorithm based on one dimensional zero excluded chaotic map

Feng,

Han,

Yan

et al. 2024

The exchange of digital images on the internet has become more convenient, but it has also led to increasing security concerns. Image encryption differs from text encryption, as inherent features such as massive data volume and high pixel correlation make it challenging to apply traditional AES and DES methods to images. This paper introduces a novel local bit-level image encryption algorithm based on chaos. Firstly, a new one-dimensional chaos system named the One-Dimensional Zero Excluded Chaotic Map (1D-ZECM) is designed, possessing features such as approximate global chaos, a broad chaos range, and high Lyapunov exponents, making it well-suited for cryptography. To resist brute force attacks, a hash function is employed to generate the encryption system’s key, further enhanced by using the 1D-ZECM to derive the key stream for the cryptographic system. Unlike traditional encryption methods that encrypt all 8 bits of a pixel, this algorithm focuses on the first six bits of each pixel during the encryption process, as the lower two bits contain less image information. In the diffusion process, the key stream generated by the 1D-ZECM is combined with mod and XOR operations to diffuse the rearranged image. Experimental results demonstrate that the proposed encryption algorithm exhibits high security and can resist common attacks. Moreover, when compared to representative algorithms, the proposed algorithm demonstrates better security and efficiency. The encryption algorithm presented in this paper provides a high-quality encrypted output.