A new pseudorandom bits generator based on a 2D-chaotic system and diffusion property

Abstract

A remarkable correlation between chaotic systems and cryptography has been established with sensitivity to initial states, unpredictability, and complex behaviors. In one development, stages of a chaotic stream cipher are applied to a discrete chaotic dynamic system for the generation of pseudorandom bits. Some of these generators are based on 1D chaotic map and others on 2D ones. In the current study, a pseudorandom bit generator (PRBG) based on a new 2D chaotic logistic map is proposed that runs side-by-side and commences from random independent initial states. The structure of the proposed model consists of the three components of a mouse input device, the proposed 2D chaotic system, and an initial permutation (IP) table. Statistical tests of the generated sequence of bits are investigated by applying five evaluations as well as the ACF and NIST. The results of five standard tests of randomness have been illustrated and overcome a value of 0.160 in frequency test. While the run test presents the pass value t0=4.769 and t1=2.929. Likewise, poker test and serial test the outcomes was passed with 3.520 for poker test, and 4.720 for serial test. Finally, autocorrelation test passed in all shift numbers from 1 to 10.

Image scrambler based on novel 4-D hyperchaotic system and magic square with fast Walsh–Hadamard transform

“…To protect the values of the neighbor pixels from attackers any ciphered algorithm must be reduced the correlation between adjacent pixels [29]. The suggested scheme resists the statistical attackers by making the correlation closer to zero concerning the original image the correlation coefficient was calculated for both ciphered and original images of horizontally, diagonally, and vertically adjacent pixels.…”

Chaotic dynamics model based on field-programmable analog array technology

“…Studied the state of controlled synchronization between the Van Der Pol oscillator as master and the Chua's circuit as a slave system. The concurrence of the Chua circuit with another oscillator is elaborated by different researchers [9]. Hou et al offered a model to evaluate the other Van Der Pol's parameter examined.…”

“…There are many chaotic communication systems that were proposed at the beginning of the focus on this type of secure communication for information transmission such as including chaotic masking, the information is mixed with the carrier chaotic signal using a nonlinear mixer [5], [6]. The chaotic demeanor of effective systems can be applied in numerous realism implementations like engineering, microbiology, biology, encryption, random generation, modeling of different electrical, laser, mechanical oscillators, washer machines, physics, robotics, mathematics, economics, philosophy, meteorology, computer science, pseudorandom bit generator, Rikitake chaotic system, artificial neural networks, and civil engineering [7]- [9].…”

A hybrid modified lightweight algorithm for achieving data integrity and confidentiality

“…The protection of data from unauthorized access, disclosure, alteration, or destruction while ensuring confidentiality, integrity, and availability is very important to information security [1]. As there are unknown risks, threats, and vulnerabilities, there is no 100% guaranteed security [1]- [4]. Cryptography is used to keep data secure while it is in transit (electronic or physical).…”