Three Techniques for Enhancing Chaos-Based Joint Compression and Encryption Schemes

Abstract

In this work, three techniques for enhancing various chaos-based joint compression and encryption (JCAE) schemes are proposed. They respectively improved the execution time, compression ratio, and estimation accuracy of three different chaos-based JCAE schemes. The first uses auxiliary data structures to significantly accelerate an existing chaos-based JCAE scheme. The second solves the problem of huge multidimensional lookup table overheads by sieving out a small number of important sub-tables. The third increases the accuracy of frequency distribution estimations, used for compressing streaming data, by weighting symbols in the plaintext stream according to their positions in the stream. Finally, two modified JCAE schemes leveraging the above three techniques are obtained, one applicable to static files and the other working for streaming data. Experimental results show that the proposed schemes do run faster and generate smaller files than existing JCAE schemes, which verified the effectiveness of the three newly proposed techniques.

Cryptanalysis and Improvement of a Chaotic Map-Based Image Encryption System Using Both Plaintext Related Permutation and Diffusion

“…Employing the new combined simultaneous compression-encryption approach highly reduces the required resources for encryption (computational and power resources), according to [ 15 ] and [ 18 ]. Owing to such an attractive property, lots of works are devoted to this topic [ 19 , 20 , 21 , 22 , 23 ], some of them are also chaotic map based. In [ 22 ], we proposed three techniques for enhancing various chaos-based joint compression and encryption (JCAE) schemes.…”

“…Owing to such an attractive property, lots of works are devoted to this topic [ 19 , 20 , 21 , 22 , 23 ], some of them are also chaotic map based. In [ 22 ], we proposed three techniques for enhancing various chaos-based joint compression and encryption (JCAE) schemes. They respectively improved the execution time, compression ratio, and estimation accuracy of three different chaos-based JCAE schemes.…”

The Effects of Padé Numerical Integration in Simulation of Conservative Chaotic Systems

“…Obtained models can be used as testbench systems in various statistical studies [25] or for simulation of nonstationary processes with multifractal properties. Though an accurate simulation with nonlinear integration techniques meets significant difficulties, these methods can improve the algorithms of pseudo-random number generators [26,27], making them able to avoid quasi-chaotic regimes during long-term runs. They also can provide improved topological mixing and diffusion properties required in chaos-based cryptosystems [28].…”

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

“…Chaos theory is widely used in the encryption of information because of its particular properties [ 1 , 2 , 3 ], such as the high sensitivity to initial conditions, ergodicity, randomness, and topology complexity, among others [ 4 , 5 , 6 , 7 ]. For instance, numerous works related to the encryption of information using methods with chaotic and hyperchaotic models have been reported in [ 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ].…”

“…Additionally, the method reported by [ 73 ] is used for the encryption of information using multiple-precision arithmetic [ 83 ]. The Python programming language [ 84 ] is used to process several significant decimals higher than that reported in the works [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 16 , 17 , 18 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 ] and which are based on the IEEE 754 standard [ 54 ], typically used in computers and FPGAs. It is important to emphasize that Python is a scientific programming language [ 84 ] with the following advantages: open-source, free license, an...…”