The Graph Structure of the Generalized Discrete Arnold's Cat Map

Li, Chengqing; Tan, Kai Meng; Feng, Bingbing; Lü, Jinhu

doi:10.1109/tc.2021.3051387

Cited by 65 publications

(17 citation statements)

References 43 publications

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“…Due to the limitation of finite-precision presentation, dynamics of any chaotic system is definitely degraded when it is implemented in a digital device. As investigated in [14,15,16], the structure of the statemapping network (SMN) of a digitized chaotic system implemented with fixed-point precision e + 1 is largely dominated by that with precision e. The short period problems of PRNG based on Logistic map (5) implemented in a digital device (with fixed-point arithmetic or floating-point arithmetic) were comprehensively discussed in [15]. As shown in Fig.…”

Section: Three Weaknesses Of Ieacdmentioning

confidence: 99%

Cryptanalyzing two image encryption algorithms based on a first-order time-delay system

Liu,

Li,

2021

Preprint

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Security is a key problem for the transmission, interchange and storage process of multimedia systems and applications. In 2018, M. Li et al. proposed in-depth security analysis on an image encryption algorithm based on a first-order time-delay system (IEATD) and gave a specific chosen-plaintext attack on it. Moreover, an enhanced version called as IEACD was designed to fix the reported security defects. This paper analyzes the essential structures of the two algorithms and evaluates their real security performances: 1) no efficient nonlinear operations are adopted to assure the sensibility of keystream; 2) the equivalent secret key of IEATD can be efficiently recovered from one known plain-image and the corresponding cipherimage; 3) IEACD can still be efficiently cracked with a chosen-plaintext attack. Both rigorous theoretical analyses and detailed experimental results are provided to demonstrate effectiveness of the advanced cryptanalytic methods.

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Section: Three Weaknesses Of Ieacdmentioning

confidence: 99%

Cryptanalyzing two image encryption algorithms based on a first-order time-delay system

Liu,

Li,

2021

Preprint

Self Cite

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“…When an image is encrypted with the traditional encryption methods, the encryption performance is not ideal. In recent years, various encryption schemes for image information have been proposed, and the image encryption scheme based on chaos has been widely discussed due to the pseudo-randomness, highly sensitive to initial conditions, and ergodicity of chaotic systems [17][18][19][20][21][22][23][24]. A chaos-based image cryptosystem generally adopts the structure of permutation and diffusion.…”

Section: Introductionmentioning

confidence: 99%

A novel image encryption scheme based on memristive chaotic system and combining bidirectional bit-level cyclic shift and dynamic DNA-level diffusion

et al. 2022

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In recent years, many researchers have leveraged various memristors to design many novel memristive chaotic systems with complex dynamics. Compared with other chaotic systems, applying these memristive chaotic systems to image encryption is expected to solve some key problems in this field. Therefore, exploiting a recently reported memristive chaotic system, this paper proposes a novel image encryption scheme based on the memristive chaotic system and combining bidirectional bit-level cyclic shift and dynamic DNA-level diffusion (IES-M-BD). First, a discrete memristive chaotic map is employed to generate chaotic sequences. Then, the plaintext image is shifted circularly on bit-level according to chaotic sequences and the hash value of the plaintext image. After that, the shifted matrix is recombined on the bit plane and encoded dynamically by DNA encoding rules. Next, dynamic DNA-level diffusion and DNA-level permutation are carried out in two rounds. Finally, the encrypted image is obtained after dynamic DNA decoding. Simulation tests and performance analyses are also carried out in this paper. The simulation results and the security analyses demonstrate that this encryption scheme has a high security level and can resist various attacks.

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“…To deal with the problem, various methodologies are introduced to design different image ciphers. Among them, chaos-based image encryption is the most popular one, because chaos has characteristics of sensitivity to initial values, dense periodic points, and long-term unpredictability of orbits [3][4][5]. In the past two decades, chaotic image encryption technology has been widely discussed and has become a research hotspot [6].…”

Section: Introductionmentioning

confidence: 99%

Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

Wen

Zhang

Huang

et al. 2021

Entropy

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Fractional-order chaos has complex dynamic behavior characteristics, so its application in secure communication has attracted much attention. Compared with the design of fractional-order chaos-based cipher, there are fewer researches on security analysis. This paper conducts a comprehensive security analysis of a color image encryption algorithm using a fractional-order hyperchaotic system (CIEA-FOHS). Experimental simulation based on excellent numerical statistical results supported that CIEA-FOHS is cryptographically secure. Yet, from the perspective of cryptanalysis, this paper found that CIEA-FOHS can be broken by a chosen-plaintext attack method owing to its some inherent security defects. Firstly, the diffusion part can be eliminated by choosing some special images with all the same pixel values. Secondly, the permutation-only part can be deciphered by some chosen plain images and the corresponding cipher images. Finally, using the equivalent diffusion and permutation keys obtained in the previous two steps, the original plain image can be recovered from a target cipher image. Theoretical analysis and experimental simulations show that the attack method is both effective and efficient. To enhance the security, some suggestions for improvement are given. The reported results would help the designers of chaotic cryptography pay more attention to the gap of complex chaotic system and secure cryptosystem.

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The Graph Structure of the Generalized Discrete Arnold's Cat Map

Cited by 65 publications

References 43 publications

Cryptanalyzing two image encryption algorithms based on a first-order time-delay system

Cryptanalyzing two image encryption algorithms based on a first-order time-delay system

A novel image encryption scheme based on memristive chaotic system and combining bidirectional bit-level cyclic shift and dynamic DNA-level diffusion

Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

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