Chaotic Jerk System with Hump Structure for Text and Image Encryption Using DNA Coding

Signing, V. R. Folifack; Fozin, T. Fonzin; Kountchou, Michaux; Kengne, Jacques; Njitacke, Zeric Tabekoueng

doi:10.1007/s00034-021-01665-1

Cited by 32 publications

(9 citation statements)

References 75 publications

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“…( 1) is replaced by a logistic map in Eq. (10). Its new mathematical mapping equation can be defined as…”

Section: Enhanced Logistic Mapmentioning

confidence: 99%

“…[3] Those characteristics, such as initial state sensitivity, unpredictability, fractal dimension, and ergodicity, push chaotic systems to be widely studied and applied in many scenarios, such as personal information security, [4] communication systems, [5] and power systems. [6] Presently, many chaotic systems have been developed for various applications, such as chaotic synchronization, [7,8] chaotic secure communication, [9] chaotic cryptography, [10,11] and chaotic neural networks. [12,13] Among them, chaotic secure communication and chaotic encryption [14,15] are among the hottest topics in the research of international electronic communications.…”

Section: Introductionmentioning

confidence: 99%

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Exponential sine chaotification model for enhancing chaos and its hardware implementation

Wang¹,

Li²,

Luo³

2022

Chinese Phys. B

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Chaotic systems have been intensively studied for their roles in many applications like cryptography, secure communications, nonlinear controls, etc. However, the limited complexity of existing chaotic systems weakens chaos-based practical applications. Designing chaotic maps with high complexity is attractive. This paper proposes the exponential sine chaotification model (ESCM), a method of using exponential sine function as a nonlinear transform model, to enhance the complexity of chaotic maps. To verify the performance of the ESCM, we firstly demonstrated it through theoretical analysis. Then, to exhibit the high efficiency and usability of ESCM, we applied ESCM to one-dimensional (1D) and multi-dimensional (MD) chaotic systems. The effects were examined by the Lyapunov exponent and found enhanced chaotic maps have much more complicated dynamics behaviors compared to their originals. To validate the simplicity of ESCM in hardware implementation, we simulate three enhanced chaotic maps using the digital signal processor (DSP). To explore the ESCM in practical application, we applied ESCM to image encryption. Results verified that the ESCM can make previous chaos maps competitive to usage in image encryption.

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“…( 1) is replaced by a logistic map in Eq. (10). Its new mathematical mapping equation can be defined as…”

Section: Enhanced Logistic Mapmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exponential sine chaotification model for enhancing chaos and its hardware implementation

Wang¹,

Li²,

Luo³

2022

Chinese Phys. B

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“…For both text and image encryption, Signing et al [ 41 ] suggested a cryptosystem based on the unique randomness created by a chaotic Jerk system with DNA coding and a hump structure. Before diving deeper into the phenomenon and putting the encryption method into practice, it is helpful to do some preliminary research on the dynamic features of a Jerk system and DNA coding.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Chaos-Based Image Encryption Technique Using Bitplane Decay and Genetic Operators

Premkumar¹,

Mahdal

Elangovan

2022

Sensors

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Social networks have greatly expanded in the last ten years the need for sharing multimedia data. However, on open networks such as the Internet, where security is frequently compromised, it is simple for eavesdroppers to approach the actual contents without much difficulty. Researchers have created a variety of encryption methods to strengthen the security of this transmission and make it difficult for eavesdroppers to get genuine data. However, these conventional approaches increase computing costs and communication overhead and do not offer protection against fresh threats. The problems with current algorithms encourage academics to further investigate the subject and suggest new algorithms that are more effective than current methods, that reduce overhead, and which are equipped with features needed by next-generation multimedia networks. In this paper, a genetic operator-based encryption method for multimedia security is proposed. It has been noted that the proposed algorithm produces improved key strength results. The investigations using attacks on data loss, differential assaults, statistical attacks, and brute force attacks show that the encryption technique suggested has improved security performance. It focuses on two techniques, bitplane slicing and followed by block segmentation and scrambling. The suggested method first divides the plaintext picture into several blocks, which is then followed by block swapping done by the genetic operator used to combine the genetic information of two different images to generate new offspring. The key stream is produced from an iterative chaotic map with infinite collapse (ICMIC). Based on a close-loop modulation coupling (CMC) approach, a three-dimensional hyperchaotic ICMIC modulation map is proposed. By using a hybrid model of multidirectional circular permutation with this map, a brand-new colour image encryption algorithm is created. In this approach, a multidirectional circular permutation is used to disrupt the image’s pixel placements, and genetic operations are used to replace the pixel values. According to simulation findings and security research, the technique can fend off brute-force, statistical, differential, known-plaintext, and chosen-plaintext assaults, and has a strong key sensitivity.

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“…The confusion step uses block scrambling and modified zigzag transformation and the Diffusion step uses 3D logistic map and key generation followed by the additive cipher. In [29] Folifack et al studied the dynamic properties of a Jerk system as well as DNA coding with the purpose of the implementation of an encryption technique.…”

Section: Introductionmentioning

confidence: 99%

Image Encryption and Decryption System through a Hybrid Approach Using the Jigsaw Transform and Langton’s Ant Applied to Retinal Fundus Images

Romero-Arellano

Moya-Albor

Brieva

et al. 2021

Axioms

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In this work, a new medical image encryption/decryption algorithm was proposed. It is based on three main parts: the Jigsaw transform, Langton’s ant, and a novel way to add deterministic noise. The Jigsaw transform was used to hide visual information effectively, whereas Langton’s ant and the deterministic noise algorithm give a reliable and secure approach. As a case study, the proposal was applied to high-resolution retinal fundus images, where a zero mean square error was obtained between the original and decrypted image. The method performance has been proven through several testing methods, such as statistical analysis (histograms and correlation distributions), entropy computation, keyspace assessment, robustness to differential attack, and key sensitivity analysis, showing in each one a high security level. In addition, the method was compared against other works showing a competitive performance and highlighting with a large keyspace (>1×101,134,190.38). Besides, the method has demonstrated adequate handling of high-resolution images, obtaining entropy values between 7.999988 and 7.999989, an average Number of Pixel Change Rate (NPCR) of 99.5796%±0.000674, and a mean Uniform Average Change Intensity (UACI) of 33.4469%±0.00229. In addition, when there is a small change in the key, the method does not give additional information to decrypt the image.

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Chaotic Jerk System with Hump Structure for Text and Image Encryption Using DNA Coding

Cited by 32 publications

References 75 publications

Exponential sine chaotification model for enhancing chaos and its hardware implementation

Exponential sine chaotification model for enhancing chaos and its hardware implementation

An Efficient Chaos-Based Image Encryption Technique Using Bitplane Decay and Genetic Operators

Image Encryption and Decryption System through a Hybrid Approach Using the Jigsaw Transform and Langton’s Ant Applied to Retinal Fundus Images

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