Design and FPGA Implementation of New Multidimensional Chaotic Map for Secure Communication

Bouteghrine, Belqassim; Tanougast, Camel; Sadoudi, Saïd

doi:10.1142/s0218126621502807

Cited by 13 publications

(4 citation statements)

References 46 publications

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“…A four-dimensional system was chosen based on previous works that evaluated three-, four-, and five-dimensional systems [42]. This work, by Bouteghrine et al, while evaluating chaotic systems (rather than hyperchaotic systems), demonstrates the trade offs behind implementing higher-dimensionality systems.…”

Section: Lorenz Hyperchaotic Systemsmentioning

confidence: 99%

Integrating Lorenz Hyperchaotic Encryption with Ring Oscillator Physically Unclonable Functions (RO-PUFs) for High-Throughput Internet of Things (IoT) Applications

Magyari,

Chen

2023

Electronics

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With the combined call for increased network throughput and security comes the need for high-bandwidth, unconditionally secure systems. Through the combination of true random number generators (TRNGs) for unique seed values, and four-dimensional Lorenz hyperchaotic systems implemented on a Stratix 10 Intel FPGA, we are able to implement 60 MB/s encryption/decryption schemes with 0% data loss on an unconditionally secure system with the NIST standard using less than 400 mW. Further, the TRNG implementation allows for unique encryption outputs for similar images while still enabling proper decryption. Histogram and adjacent pixel analysis on sample images demonstrate that without the key, it is not possible to extract the plain text from the encrypted image. This encryption scheme was implemented via PCIe for testing and analysis.

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Section: Lorenz Hyperchaotic Systemsmentioning

confidence: 99%

Integrating Lorenz Hyperchaotic Encryption with Ring Oscillator Physically Unclonable Functions (RO-PUFs) for High-Throughput Internet of Things (IoT) Applications

Magyari,

Chen

2023

Electronics

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“…Therefore, conservative chaotic systems can produce stronger pseudo-random characteristics, and have inherent advantages in the field of encryption, such as the production of pseudo-random number generators. In 2009, Jia et al [24] proposed a large-scale hyperchaotic system and verified the complexity of the system with analog circuits. In 2013, Liu and Zhang [25] proposed a two-scroll chaotic system with a wide parameter range.…”

Section: Introductionmentioning

confidence: 99%

“…A wide parameter range chaotic system can keep chaotic state [15] in a wider range, reduce the influence of parameter changes on the system, and stabilize the chaotic characteristics. Therefore, this feature has more advantages in the fields of secure communication, [24] cryptography, [25] chaos control, [22] etc.…”

Section: Introductionmentioning

confidence: 99%

Characteristic analysis of 5D symmetric Hamiltonian conservative hyperchaotic system with hidden multiple stability

Huang 黄,

Ma 马,

Li 李

2024

Chinese Phys. B

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Conservative chaotic systems have unique advantages over dissipative chaotic systems in the fields of secure communication and pseudo-random number generator because they do not have attractors and have good traversal and pseudo-randomness. In this paper, a novel five-dimensional Hamiltonian conservative hyperchaotic system is proposed based on the five-dimensional Euler equation. The proposed system can have different types of coordinate transformation and time reversal symmetry. In this paper, Hamilton energy and Casimir energy are analyzed firstly, and it is proved that the new system satisfies Hamilton energy conservation and can generate chaos. Then, the and SE complexity. In addition, a detailed analysis of the multistable characteristics of the system reveals that many energy-related coexisting orbits exist. Based on the infinite number of center-type and saddle-type equilibrium points, the dynamic characteristics of the hidden multistability of the system are revealed. Then, the NIST test of the new system shows that the chaotic sequence generated by the system has strong pseudo-random. Finally, the circuit simulation and hardware circuit experiment of the system are carried out with Multisim simulation software and digital signal processor (DSP) respectively. The experimental results confirm that the new system has good ergodicity and realizability.

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“…In recent years, the requirement for new chaotic maps and systems is significantly increasing mostly for image encryption (Ye and Wong 2012, Li et al 2017, Wang et al 2020, Hu and Li 2021, Patro and Acharya 2021, Toktas et al 2021, Liu et al 2022, digital audio encryption (Shah et al 2021), pseudo random number generation (Krishnamoorthi et al 2021, Tutueva et al 2021, cryptography (Zheng and Hu 2022) secure communication (Bouteghrine et al 2021) even for secure authentication (Dharminder et al 2021). Nearly all of the kernels of these research papers are powered by existing chaotic maps discovered by the researchers.…”

Section: Introductionmentioning

confidence: 99%

A new chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard quintic form

Alpar

2023

Phys. Scr.

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The Bring-Jerrard normal form, achieved by Tschirnhaus transformation of a regular quintic, is a reduced type of the general quintic equation with quartic, cubic and quadratic terms omitted. However, the form itself is an equation opposing the mandatory characteristics of the iterative chaotic maps. Given the form represents the fixed-point equations, it is possible to turn it into a map of iterations. Under specific conditions, the quartic map achieved by transformation from the quintic normal form exhibits chaotic behavior for real numbers. Depending on the system parameters, the new map causes period-doubling until a complete chaos within a very short range. Basically, in this paper, we present a new one-dimensional chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard normal form, which exhibits chaotic behavior for negative initial points. We also included the brief analysis of the Bring-Jerrard generalized case which is the parent system of the chaotic map we proposed in this paper.

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Design and FPGA Implementation of New Multidimensional Chaotic Map for Secure Communication

Cited by 13 publications

References 46 publications

Integrating Lorenz Hyperchaotic Encryption with Ring Oscillator Physically Unclonable Functions (RO-PUFs) for High-Throughput Internet of Things (IoT) Applications

Integrating Lorenz Hyperchaotic Encryption with Ring Oscillator Physically Unclonable Functions (RO-PUFs) for High-Throughput Internet of Things (IoT) Applications

Characteristic analysis of 5D symmetric Hamiltonian conservative hyperchaotic system with hidden multiple stability

A new chaotic map derived from the Hermite–Kronecker–Brioschi characterization of the Bring-Jerrard quintic form

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