A fast quantum image encryption algorithm based on affine transform and fractional-order Lorenz-like chaotic dynamical system

Khan, Mubashar; Rasheed, Amer

doi:10.1007/s11128-022-03474-0

Cited by 12 publications

(6 citation statements)

References 51 publications

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“…The execution time of the proposed algorithm and Refs. [9,12,16,17] are listed in Table 6. In [9,16,17], the pseudo-random sequences are originated by iterating the 4D hyper-chaotic Henon map, 2D logistic map and 3D chaotic system, respectively, which take too much time.…”

Section: Encryption Time Analysismentioning

confidence: 99%

“…In [9,16,17], the pseudo-random sequences are originated by iterating the 4D hyper-chaotic Henon map, 2D logistic map and 3D chaotic system, respectively, which take too much time. In [12], the encryption process is time-consuming owing to the fractional-order Lorenz-like chaotic system. In our algorithm, the initial point of the MSMFrLVS is variable such that the algorithm can save the encryption time greatly, thus the proposed image encryption algorithm can be developed for fast image encryption.…”

Section: Encryption Time Analysismentioning

confidence: 99%

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Fast quantum image encryption scheme based on multilayer short memory fractional order Lotka-Volterra system and dual-scale triangular map

Yu²,

Gong³

et al. 2022

Front. Phys.

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The Caputo fractional order Lotka-Volterra system is time-consuming in practical applications, since its starting point is fixed. To tackle this problem, a short memory fractional order Lotka-Volterra system (SMFrLVS) is proposed, where the chaotic attractor of the short memory fractional order Lotka-Volterra system is achieved by the predictor-corrector method. Then, a multilayer fractional order Lotka-Volterra system with short memory (MSMFrLVS) is introduced, whose chaotic behaviors are explored via Poincare sections and frequency power spectra. A quantum image encryption algorithm is proposed by combining MSMFrLVS with quantum dual-scale triangular map. A quantum circuit of the dual-scale triangular map is designed with ADDER-MOD2n. At the permutation stage, the plaintext image is transformed into quantum form with the generalized quantum image representation model. The resulting quantum image is divided into sub-blocks and scrambled by the quantum dual-scale triangular map. Subsequently, the intra and the inter permutation operations on bit-planes are realized by sorting pseudo-random sequence and by quantum Gray code, respectively. At the diffusion stage, the initial values of the MSMFrLVS are generated with a plaintext correlation mechanism. The ciphertext image can be acquired by carrying out three-level diffusion operations. It is demonstrated that the proposed quantum image encryption algorithm performs better than some typical image encryption algorithm in terms of security, robustness, computational complexity and encryption speed.

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Section: Encryption Time Analysismentioning

confidence: 99%

Section: Encryption Time Analysismentioning

confidence: 99%

Fast quantum image encryption scheme based on multilayer short memory fractional order Lotka-Volterra system and dual-scale triangular map

Yu²,

Gong³

et al. 2022

Front. Phys.

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“…The suggested method overcame the abovementioned restrictions and flaws, successfully securing and effectively safeguarding the color image. Chaotic systems are well-liked for picture encryption, such as Lorenz systems and their variations [23][24][25][26][27][28][29][30][31][32][33][34]. FOHCL system exhibits strong, intricate, and non-static.…”

Section: Introductionmentioning

confidence: 99%

A New Image Encryption Scheme Based on the Hybridization of Lorenz Chaotic Map and Fibonacci Q-Matrix

Mohamed,

Alhammad,

Khafaga

et al. 2024

IEEE Access

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In various image-processing applications, the fractional-order functions outperform their equivalent integer-order functions. In this study, we proposed a novel technique to encrypt color images with fractional-order chaotic systems, where the fractional-order simple Loranz is integrated with the FQM. Our novel part is hybridizing two maps (Lorenz & Fibonacci). The new algorithm benefits from the strengths of the fractional-order simple Lorenz chaotic system and the FQM to get a good performance technique. We confirm that our suggested encryption algorithms are effective and robust against attacks. Our suggested technique comprises numerous sequences: The primary color channels of the input image were separated into R-, G, and B-channel. The processes of confusion and diffusion are independent for each channel. The simple Loranz generates random integers using fractional ordering to enable pixel placements. We utilized the Fibonacci Q-matrix to dilute every 2*2 block comprising the permitted image.

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“…Hyperchaotic behavior is a more complex dynamical behavior compared with chaotic behavior. High-dimensional chaos has the characteristics of complex dynamic behavior and complex structure [35][36][37][38]. For example, Liu et al proposed a new 3D chaotic system and generated an S-box for the encryption algorithm based on this chaotic system [36].…”

Section: Introductionmentioning

confidence: 99%

A Novel 2D Hyperchaotic with a Complex Dynamic Behavior for Color Image Encryption

Hu¹,

Nan²

2023

Computers, Materials &Amp; Continua

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The generation method of the key stream and the structure of the algorithm determine the security of the cryptosystem. The classical chaotic map has simple dynamic behavior and few control parameters, so it is not suitable for modern cryptography. In this paper, we design a new 2D hyperchaotic system called 2D simple structure and complex dynamic behavior map (2D-SSCDB). The 2D-SSCDB has a simple structure but has complex dynamic behavior. The Lyapunov exponent verifies that the 2D-SSCDB has hyperchaotic behavior, and the parameter space in the hyperchaotic state is extensive and continuous. Trajectory analysis and some randomness tests verify that the 2D-SSCDB can generate random sequences with good performance. Next, to verify the excellent performance of the 2D-SSCDB, we use the 2D-SSCDB to generate a keystream for color image encryption. In the encryption algorithm, the encryption algorithm scrambles and diffuses simultaneously, increasing the cryptographic system's security. The horizontal correlation, vertical correlation, and diagonal correlation of ciphertext are −0.0004, −0.0004 and 0.0007, respectively. The average information entropy of the ciphertext is 7.9993. In addition, the designed encryption algorithm reduces the correlation between the three channels of the color image. Security analysis shows that the color image encryption algorithm designed using 2D-SSCDB has good security, can resist standard attack methods, and has high efficiency.

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A fast quantum image encryption algorithm based on affine transform and fractional-order Lorenz-like chaotic dynamical system

Cited by 12 publications

References 51 publications

Fast quantum image encryption scheme based on multilayer short memory fractional order Lotka-Volterra system and dual-scale triangular map

Fast quantum image encryption scheme based on multilayer short memory fractional order Lotka-Volterra system and dual-scale triangular map

A New Image Encryption Scheme Based on the Hybridization of Lorenz Chaotic Map and Fibonacci Q-Matrix

A Novel 2D Hyperchaotic with a Complex Dynamic Behavior for Color Image Encryption

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