A New Chaotic Image Encryption Algorithm Based on Transversals in a Latin Square

Shen, Honglian; Shan, Xiuling; Tian, Zihong

doi:10.3390/e24111574

Cited by 16 publications

(9 citation statements)

References 39 publications

(58 reference statements)

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“…We use Lm 1 and Lm 2 to construct the juxtaposition array Lm 12 , where each ordered pair occurs only once. Thus, it can be inferred that Lm 1 and Lm 2 are orthogonal: 23…”

Section: Difference Matrixmentioning

confidence: 99%

“…Step 2: Redefine the addition and multiplication operations on lx, then construct a finite field F 1 = {g 0 , ..., g n−1 } [23]. generate an (n, n; 1)-difference matrix M with M(i, j) = g i × g j .…”

Section: Generation Of a Difference Matrix Mmentioning

confidence: 99%

“…However, attackers can exploit regions of regularity or low chaos within these systems to break encryption schemes, particularly if they possess knowledge of the plaintext used in encryption or can select it. Therefore, chaotic systems are frequently employed in conjunction with other technologies to enhance their level of security, such as DNA [4][5][6][7], genetic operations [8][9][10], compressive sensing [11][12][13], fractal sorting matrix [14], bit matrix [15], combinatorial design structures [16][17][18][19][20][21][22][23], and others.…”

Section: Introductionmentioning

confidence: 99%

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An Efficient Image Cryptosystem Utilizing Difference Matrix and Genetic Algorithm

Shen,

Shan

2024

Entropy

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Aiming at addressing the security and efficiency challenges during image transmission, an efficient image cryptosystem utilizing difference matrix and genetic algorithm is proposed in this paper. A difference matrix is a typical combinatorial structure that exhibits properties of discretization and approximate uniformity. It can serve as a pseudo-random sequence, offering various scrambling techniques while occupying a small storage space. The genetic algorithm generates multiple ciphertext images with strong randomness through local crossover and mutation operations, then obtains high-quality ciphertext images through multiple iterations using the optimal preservation strategy. The whole encryption process is divided into three stages: first, the difference matrix is generated; second, it is utilized for initial encryption to ensure that the resulting ciphertext image has relatively good initial randomness; finally, multiple rounds of local genetic operations are used to optimize the output. The proposed cryptosystem is demonstrated to be effective and robust through simulation experiments and statistical analyses, highlighting its superiority over other existing algorithms.

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“…We use Lm 1 and Lm 2 to construct the juxtaposition array Lm 12 , where each ordered pair occurs only once. Thus, it can be inferred that Lm 1 and Lm 2 are orthogonal: 23…”

Section: Difference Matrixmentioning

confidence: 99%

Section: Generation Of a Difference Matrix Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Efficient Image Cryptosystem Utilizing Difference Matrix and Genetic Algorithm

Shen,

Shan

2024

Entropy

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“…In order to deal with this problem, the popular technique of chaos-based image encryption has been widely discussed and applied by researchers [ 2 , 3 , 4 ]. Numerous routes have been taken in the design and innovation of current chaotic image encryption schemes, such as introducing and using S-box [ 5 , 6 , 7 ], Latin square [ 8 , 9 , 10 ], multiple data-level encryption operations [ 11 , 12 , 13 ], and different chaotic systems [ 14 , 15 , 16 ]. Additionally, chaotic systems can also take on various forms, such as continuous systems [ 17 , 18 ], fractional-order systems [ 19 , 20 ], complex systems [ 21 , 22 ], and discrete systems [ 23 , 24 , 25 ].…”

Section: Introductionmentioning

confidence: 99%

Chaotic Color Image Encryption Based on Eight-Base DNA-Level Permutation and Diffusion

Fan,

Li,

et al. 2023

Entropy

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Images, as a crucial information carrier in the era of big data, are constantly generated, stored, and transmitted. Determining how to guarantee the security of images is a hot topic in the information security community. Image encryption is a simple and direct approach for this purpose. In order to cope with this issue, we propose a novel scheme based on eight-base DNA-level permutation and diffusion, termed as EDPD, for color image encryption in this paper. The proposed EDPD integrates secure hash algorithm-512 (SHA-512), a four-dimensional hyperchaotic system, and eight-base DNA-level permutation and diffusion that conducts on one-dimensional sequences and three-dimensional cubes. To be more specific, the EDPD has four main stages. First, four initial values for the proposed chaotic system are generated from plaintext color images using SHA-512, and a four-dimensional hyperchaotic system is constructed using the initial values and control parameters. Second, a hyperchaotic sequence is generated from the four-dimensional hyperchaotic system for consequent encryption operations. Third, multiple permutation and diffusion operations are conducted on different dimensions with dynamic eight-base DNA-level encoding and algebraic operation rules determined via the hyperchaotic sequence. Finally, DNA decoding is performed in order to obtain the cipher images. Experimental results from some common testing images verify that the EDPD has excellent performance in color image encryption and can resist various attacks.

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“…The classical scrambling methods include the spiral transformation [15], Zigzag transformation [16], Arnold transformation [17], magic square transformation [18], and Latin square transformation, etc. [19]. Among them, the magic square transformation and the Latin square transformation are complex.…”

Section: Introductionmentioning

confidence: 99%

Color Image Encryption Algorithm Based on Cross-Spiral Transformation and Zone Diffusion

2023

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Due to their rich information, color images are frequently utilized in many different industries, but the network’s security in handling their delivery of images must be taken into account. To improve the security and efficiency of color images, this paper proposed a color image encryption algorithm based on cross-spiral transformation and zone diffusion. The proposed algorithm is based on Chen’s system and the piecewise linear chaotic map, and uses the chaotic sequences generated by them for related operations. Firstly, the R, G and B planes are extracted, and the spiral starting point of each plane is randomly selected by the chaotic sequence to implement the cross-spiral transformation. Secondly, the bit-level image matrix is constructed by the scrambled image matrix, and the bit-level chaotic matrix is constructed by the chaotic sequence. Finally, the three-dimensional matrix is divided into four zones by a dividing line, and partition diffusion is carried out to obtain the encrypted image. Simulation results and algorithm analyses indicate that the proposed algorithm has superior performance and can resist a wide range of attacks.

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A New Chaotic Image Encryption Algorithm Based on Transversals in a Latin Square

Cited by 16 publications

References 39 publications

An Efficient Image Cryptosystem Utilizing Difference Matrix and Genetic Algorithm

An Efficient Image Cryptosystem Utilizing Difference Matrix and Genetic Algorithm

Chaotic Color Image Encryption Based on Eight-Base DNA-Level Permutation and Diffusion

Color Image Encryption Algorithm Based on Cross-Spiral Transformation and Zone Diffusion

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