Real-time image encryption using a low-complexity discrete 3D dual chaotic cipher

Abstract

In this paper, an algorithm is proposed for real-time image encryption. This scheme employs a dual chaotic generator based on a three-dimensional discrete Lorenz attractor. Encryption is achieved using non-autonomous modulation where the image data are injected into the dynamics of a master chaotic generator. The second generator is used to permute the dynamics of the master generator using the same approach. Since the image data can be regarded as a random source, the resulting permutations of the generator dynamics greatly increase the security of the encrypted signal. In addition, a technique is proposed to mitigate the error propagation due to the finite precision arithmetic of digital hardware. In particular, truncation and rounding errors are eliminated by employing an integer representation of the image data which can easily be implemented. The simple hardware architecture of the algorithm makes it suitable for secure real-time applications.

Simultaneous encryption and compression of medical images based on optimized tensor compressed sensing with 3D Lorenz

“…The Key that are used on with 3D Lorenz are the initial values for the three state variables, the and , the parameters and , and for each of the state equations. As shown in [25], the key length is 39 decimal digits, with a key space of 10 39 . The order of the tensor product can be used as an additional key, which has 18 combinations (which will be introduced in detail in “Key sensitivity”).…”

“…Although the attackers have access to some plaintext-ciphertext pair, they will be unable to reproduce the system without knowledge of the order of tensor product. Furthermore, the 3D Lorenz, which was introduced in the system, has the ability to withstand these common attacks [25, 26]. Therefore, the proposed system based on TCS with 3D Lorenz has the ability to resist these common attacks.…”

“…Mohmad et al [25, 26] propose a 3D discrete Lorenz system, which has a high order and also low complexity when implemented in digital hardware. The discrete Lorenz attractor employed here is given by the following difference equationswhere U, V, W are three state variables, A, B, C are parameters, and are gains (step size).…”

“…We further introduce alternating least squares (ALS) into HOSVD-based TCS [21], and control the measurement matrices by 3D Lorenz [25–27]. Such a simultaneous compression and encryption algorithm for 3D medical images has two main advantages: (1) the preservation of intrinsic structures of the tensor data for the purpose of reducing the decryption error and increasing the compression ratio; (2) the keys consist of those generated by tensor decomposition, and 3D Lorenz.…”

A Novel Image Encryption Scheme Based on Self-Synchronous Chaotic Stream Cipher and Wavelet Transform

“…Ye et al [11] put forward an efficient symmetric image encryption algorithm based on an intertwining Logistic map. Haroun [12] came up with a real-time image encryption scheme using a low-complexity discrete 3D dual chaotic cipher.…”