A 1D coupled hyperbolic tangent chaotic map with delay and its application to password generation

Kafetzis, Ioannis; Moysis, Lazaros; Тутуева, Александра; Butusov, Denis N.; Nistazakis, Hector E.; Volos, Christos

doi:10.1007/s11042-022-13657-7

Cited by 6 publications

(4 citation statements)

References 53 publications

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“…Delayed digital chaotic systems avoid the whole chaotic system from falling into a loop by introducing the current state and the previous state to influence the next state in the expectation that when there is x p = x q , which makes x p+1 ≠ x q+1 due to x p−1 = x q−1 . Many researches have shown that this method is effective [7,16,17]. However, if it appears that x p−1 = x q−1 and x p = x q , then the whole chaotic system will inevitably fall into a loop.…”

Section: Introduction Of the Concept Of Time-varying Delay Methodsmentioning

confidence: 99%

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A two-dimensional chaotic model and its application in image encryption

Lei,

Liu

2024

Phys. Scr.

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In this paper, we propose a rule that follows a time-varying delay construction method and construct a time-varying delay scheme based on it. This construction scheme is also combined with a polynomial to obtain a novel two-dimensional chaotic model. Both mathematical analysis and experimental results show that the model satisfies the chaos condition. Good experimental results have been achieved in complexity analysis, information entropy analysis, and Auto-correlation analysis, and have certain competitiveness. The obtained chaotic model is also applied to the image encryption algorithm. The experimental results show that the encryption algorithm has high security and can effectively resist noise attacks, shear attacks, differential attacks.

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Section: Introduction Of the Concept Of Time-varying Delay Methodsmentioning

confidence: 99%

“…))⌉ -´´+ > , i.e., when the cycle length is greater than or equal to 8, the method can satisfy the above requirements. According to the [7,16,17], the cycle length of chaotic map is generally greater than 8 when the precision is greater than 6.…”

Section: 2mentioning

confidence: 99%

A two-dimensional chaotic model and its application in image encryption

Lei,

Liu

2024

Phys. Scr.

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“…The 1-D chaotic maps have been widely applied in cryptography, such as color image encryption [66], [67], generating pseudo-random sequences [68], password generation [69], and one-way hash functions [70]. Some applications of 1-D chaotic maps in S-box generation have been introduced in [32], [33], [65], [71].…”

Section: B 1-d Chaotic Mapsmentioning

confidence: 99%

Construction of Robust Lightweight S-Boxes Using Enhanced Logistic and Enhanced Sine Maps

Duong,

Minh Nguyen,

Dao

et al. 2024

IEEE Access

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Substitution boxes (S-Boxes) are essential elements of modern block ciphers, serving as nonlinear characteristics that enhance the resistance of these ciphers against cryptanalysis. This research presents a new approach for constructing lightweight S-Boxes that possess strong cryptographic characteristics by combining an enhanced logistic map and an enhanced sine map. The proposed novel algorithm has optimized multiple parameters according to the security threshold set. This study has conducted the most comprehensive evaluation of criteria for S-Boxes to date. The analysis results of the generated 4×4 and 5×5 S-Boxes have achieved optimal criteria in terms of the Strict Avalanche Criterion (SAC) and the Bit Independence Criterion (BIC) that no previous S-Boxes have achieved. Furthermore, parameters related to side-channel attack resistance have been optimized in the design stage of S-Boxes. The constructed S-Boxes with high security can be applied to replace S-Boxes of the same size in existing algorithms or to develop lightweight block cipher algorithms. This research has made a significant contribution to the construction of S-Boxes.INDEX TERMS S-Box, logistic map, sine map, chaotic map. side-channel attacks.

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“…The study described in [19] proposes a new chaotic one-dimensional map. The second hyperbolic tangent term in this connection is delayed to prevent dynamical degradation.…”

Section: Related Workmentioning

confidence: 99%

A Multilayered Audio Signal Encryption Approach for Secure Voice Communication

Abdallah¹,

Meshoul²

2022

Electronics

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In this paper, multilayer cryptosystems for encrypting audio communications are proposed. These cryptosystems combine audio signals with other active concealing signals, such as speech signals, by continuously fusing the audio signal with a speech signal without silent periods. The goal of these cryptosystems is to prevent unauthorized parties from listening to encrypted audio communications. Preprocessing is performed on both the speech signal and the audio signal before they are combined, as this is necessary to get the signals ready for fusion. Instead of encoding and decoding methods, the cryptosystems rely on the values of audio samples, which allows for saving time while increasing their resistance to hackers and environments with a noisy background. The main feature of the proposed approach is to consider three levels of encryption namely fusion, substitution, and permutation where various combinations are considered. The resulting cryptosystems are compared to the one-dimensional logistic map-based encryption techniques and other state-of-the-art methods. The performance of the suggested cryptosystems is evaluated by the use of the histogram, structural similarity index, signal-to-noise ratio (SNR), log-likelihood ratio, spectrum distortion, and correlation coefficient in simulated testing. A comparative analysis in relation to the encryption of logistic maps is given. This research demonstrates that increasing the level of encryption results in increased security. It is obvious that the proposed salting-based encryption method and the multilayer DCT/DST cryptosystem offer better levels of security as they attain the lowest SNR values, −25 dB and −2.5 dB, respectively. In terms of the used evaluation metrics, the proposed multilayer cryptosystem achieved the best results in discrete cosine transform and discrete sine transform, demonstrating a very promising performance.

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A 1D coupled hyperbolic tangent chaotic map with delay and its application to password generation

Cited by 6 publications

References 53 publications

A two-dimensional chaotic model and its application in image encryption

A two-dimensional chaotic model and its application in image encryption

Construction of Robust Lightweight S-Boxes Using Enhanced Logistic and Enhanced Sine Maps

A Multilayered Audio Signal Encryption Approach for Secure Voice Communication

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