A Review on Applications of Chaotic Maps in Pseudo-Random Number Generators and Encryption

Naik, Rasika; Singh, Udayprakash

doi:10.1007/s40745-021-00364-7

Cited by 51 publications

(21 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The spectra are collected in a bifurcation diagram (Figure 4a), often used to visualize nonlinear chaotic maps like the logistic map. [35][36][37] The predicted RASER spectra in the bifurcation diagram match with the experimental results. Depending on d 0 , they feature the same regimes: two peaks, frequency combs, period doublings, and chaos (Figure 4b).…”

Section: Chemphyschemsupporting

confidence: 74%

“…For the simulations, two non‐linearly coupled RASER modes with a frequency difference Δ ν =7.0 Hz are assumed, matching the two RASER active modes from the experiments (see Supporting Information for details on the simulations). The spectra are collected in a bifurcation diagram (Figure 4a), often used to visualize nonlinear chaotic maps like the logistic map [35–37] . The predicted RASER spectra in the bifurcation diagram match with the experimental results.…”

Section: Figurementioning

confidence: 58%

See 1 more Smart Citation

The Steady‐State ALTADENA RASER Generates Continuous NMR Signals**

et al. 2023

View full text Add to dashboard Cite

A RASER (Radio Amplification by Stimulated Emission of Radiation) facilitates the study of nonlinear phenomena, as well as the determination of NMR parameters with high precision. To achieve maximum sensitivity in the desired operating mode, it is crucial to control the RASER over long periods of time. So far, this was only possible at ultra‐low magnetic fields. Here, we introduce a way to control the operating regime of a RASER at a magnetic field of 1.45 T. We employ a continuous‐flow RASER, pumped by PHIP (ParaHydrogen Induced Polarization). The hydrogenation of vinyl acetate (VA) with parahydrogen provides the required negative polarization on the methyl group of the product ethyl acetate (EA). The protons within the methyl group, separated by a 7 Hz J‐coupling, are RASER active. This system demonstrates five RASER phenomena: inequivalent and equivalent amplitudes in the “normal NMR mode”, period doublings, frequency combs, and chaos. The experiments match with simulations based on a theoretical model of two nonlinear‐coupled RASER modes. We predict the RASER regime at set conditions and visualize the prediction in a bifurcation diagram.

show abstract

Section: Chemphyschemsupporting

confidence: 74%

Section: Figurementioning

confidence: 58%

The Steady‐State ALTADENA RASER Generates Continuous NMR Signals**

et al. 2023

View full text Add to dashboard Cite

show abstract

“…Using a double floating point number with 64-bit precision, the key space is 2 2 2 , 53 7 371 100 = > ´which is much larger than 2100. Consequently, the security of the image encryption system is improved and the resistance to exhaustive attacks is enhanced [36][37][38][39][40][41].…”

Section: Keyspace Analysismentioning

confidence: 99%

Hybrid synchronisation method based on inverse generalised and inverse projected high dimensional discrete chaotic systems

Xing,

Zeng,

Dong

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

High-dimensional discrete chaotic systems have a wide range of engineering applications, while the chaotic synchronization method is the key to confidential communication applications. Based on the proposed discriminant theorem for high-order polynomial chaotic mapping, in this paper, a hybrid inverse generalization and inverse projection synchronization method for high-dimensional discrete chaotic systems is constructed. The method increases the flexibility of synchronization control by designing to enable the coexistence of inverse projection synchronization and inverse generalized synchronization in chaotic systems, by specifically using an invertible and adjustable constant diagonal matrix to extend the control capability of the error system. Meanwhile, this paper proposed the validity of this hybrid synchronization scheme based on the multi-stationary chaotic system for the first time, through comparison, it is certified that the multi-stationary discrete chaotic synchronization system introduced in this paper not only has complex dynamics behavior but also has a faster synchronization speed. Meanwhile, this paper proposed the validity of this hybrid synchronization scheme based on the multi-stationary chaotic system for the first time, through comparison, it is certified that the multi-stationary discrete chaotic synchronization system introduced in this paper not only has complex dynamics behavior but also has a faster synchronization speed. Finally, a transmission system based on hybrid synchronization is also designed in this paper, where experiments and analyses of cryptographic transmission of pictures are carried out, and the results of the analyses show that the system has higher security and a larger key space.

show abstract

“…Khairullah et al [47] enhanced 1D chaotic maps' security for image encryption, introducing two efficient and fast-encrypting 1D chaotic maps, meeting encryption security demands with a vast key space. Naik and Singh [48] underscored chaotic maps' growing importance in pseudorandom number generation and encryption amid rising online activities, summarizing the capabilities of various chaotic maps in generating pseudo-random numbers and performing multimedia encryption. Liu et al [49] unveiled an image encryption algorithm based on a 4D chaotic map and steganography, achieving high security by incorporating the image content into the encryption process.…”

Section: Elated Workmentioning

confidence: 99%

A Novel Approach to Secure Hashing: Implementing Chaotic Hash Functions for Enhanced Security

2024

Preprint

View full text Add to dashboard Cite

This study introduces an innovative hash function based on a one-dimensional chaotic map, showcasing its strong security capabilities through extensive experimental validation. The development of hash functions has received increasing attention in recent years due to their crucial role in a wide range of information and computer science applications, such as cryptography, ensuring data integrity, and facilitating data indexing. Our chaotic map exhibits robust chaotic behavior, characterized by its high sensitivity to initial conditions and its inherent unpredictability, making it an ideal foundation for the hash function. This function is capable of effectively transforming variable-length input data into 256-bit hash values. It can be easily adapted for different output bit lengths with minimal adjustments to the algorithm's grouping length. Comprehensive security assessments, including rigorous testing against various potential attacks, have been conducted to confirm the hash function's resilience. The combined use of experimental and analytical evaluation methods has confirmed the exceptional security of our proposed hash function, highlighting its potential for critical applications in data integrity verification and encryption that demand high security.

show abstract

A Review on Applications of Chaotic Maps in Pseudo-Random Number Generators and Encryption

Cited by 51 publications

References 66 publications

The Steady‐State ALTADENA RASER Generates Continuous NMR Signals**

The Steady‐State ALTADENA RASER Generates Continuous NMR Signals**

Hybrid synchronisation method based on inverse generalised and inverse projected high dimensional discrete chaotic systems

A Novel Approach to Secure Hashing: Implementing Chaotic Hash Functions for Enhanced Security

Contact Info

Product

Resources

About