Implementing a Chaotic Cryptosystem by Performing Parallel Computing on Embedded Systems with Multiprocessors

Abstract

Profiling and parallel computing techniques in a cluster of six embedded systems with multiprocessors are introduced herein to implement a chaotic cryptosystem for digital color images. The proposed encryption method is based on stream encryption using a pseudo-random number generator with high-precision arithmetic and data processing in parallel with collective communication. The profiling and parallel computing techniques allow discovery of the optimal number of processors that are necessary to improve the efficiency of the cryptosystem. That is, the processing speed improves the time for generating chaotic sequences and execution of the encryption algorithm. In addition, the high numerical precision reduces the digital degradation in a chaotic system and increases the security levels of the cryptosystem. The security analysis confirms that the proposed cryptosystem is secure and robust against different attacks that have been widely reported in the literature. Accordingly, we highlight that the proposed encryption method is potentially feasible to be implemented in practical applications, such as modern telecommunication devices employing multiprocessors, e.g., smart phones, tablets, and in any embedded system with multi-core hardware.

Pseudo-Random Number Generator Based on Logistic Chaotic System

“…Logistic chaotic system is a classical chaotic system, thus it has been widely used in data security and secure communication due to its complex dynamic behavior [3,24]. The mathematical expression of logistic equation is:…”

“…The extraction method in Table 3 represents the number in the 15-digit numerical sequence. (5,6,7,8) 10.4220 10.4218 10.4223 10.4222 (9,10,11,12) 10.4220 10.4224 10.4218 10.4220 (1,5,9,13) 10.4221 10.4220 10.4219 10.4223 (2,6,10,14) 10.4222 10.4221 10.4221 10.4221 (3,7,11,15) 10.4223 10.4214 10.4222 10.4219 Table 3 shows the proposed method has little effect on the randomness. In this paper, the last three extraction methods in Table 3 are selected to extract the initial value, system initial value and iteration times of the next chaotic system.…”

“…There is an interesting relationship between chaos and cryptography. According to this relationship, many characteristics of chaotic systems such as the sensitivity of initial value/system parameters, ergodicity, deterministic dynamics, and structural complexity are considered to be the diffusion and confusion of keys [3][4][5][6]. Compared with traditional encryption systems, they have certain randomness [7,8].…”

Image Encryption Based on Pixel-Level Diffusion with Dynamic Filtering and DNA-Level Permutation with 3D Latin Cubes

“…Very recently, Flores-Vergara et al have implemented a chaotic cryptosystem on embedded systems with multiprocessors. The NIST statistical test and the security analysis have confirmed the proposed cryptosystem is very secure and robust for image encryption [ 14 ]. Wang et al used a spatiotemporal chaotic system to generate a pseudorandom sequence, and then used the sequence to conduct permutation and diffusion simultaneously [ 15 ].…”

Design and Construction of an ROV for Underwater Exploration

“…On this issue, one can take advantage of embedded systems, which are very useful for solving real-world problems for different fields of application. For example, the System on a Chip (SoC) Raspberry Pi has been used to solve different problems of practical applications, such as the accounting of underwater fish [42] as special case in a fish farm, or to perform complex tasks such as parallel computing [43].…”