A new image encryption algorithm based on Latin square matrix

Wang, Xingyuan; Su, Yining; Xu, Mingxiao; Zhang, Hao; Zhang, Yingqian

doi:10.1007/s11071-021-07017-7

Cited by 41 publications

(31 citation statements)

References 35 publications

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“…We conducted simulation experiments and listed all the results in this section. In order to reflect the advantages of this algorithm, we compared this algorithm with some representative algorithms [4,12,33,34,[42][43][44].…”

Section: Simulation Results and Security Analysismentioning

confidence: 99%

“…Although the value of Lena in this article is inferior to Refs. [42], it is better than other six Refs [4,12,33,34,43,44]. .…”

Section: Correlation Testmentioning

confidence: 89%

“…Recently, many combinatorial design structures have been applied in cryptography, such as Latin square [12,[31][32][33][34][35][36], Latin cube [11,13,17], Hadamard matrix [37], etc. Using simple chaotic system and these uniform combinatorial design structure as auxiliary, better encryption effect can also be achieved.…”

Section: Introductionmentioning

confidence: 99%

“…In 2021, Zhang et al proposed an encryption algorithm based on Latin square and random shift [12]. Wang et al also put forward an image encryption algorithm based on Latin square array [34], utilizing the orthogonality and uniformity of Latin square. In 2021, Hua et al designed a new CIEA using orthogonal Latin squares and 2D-LSM for color image encryption, realized point-to-point permutation and the random distribution of the pixels in the plain image [11].…”

Section: Introductionmentioning

confidence: 99%

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A new chaotic image encryption algorithm based on transversals in a Latin square

Shen¹,

Shan²,

Tian³

2022

Preprint

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There are some good combinatorial structures suitable for image encryption. In this study, a new chaotic image encryption algorithm based on transversals in a Latin square is proposed. By means of an n-transversal of a Latin square, we can permutate an image data group by group for the first time, then use two Latin squares for auxiliary diffusion on the basis of a chaotic sequence, finally make use of a pair of orthogonal Latin squares to do the second scrambling. As a whole, the encryption process of "scrambling-diffusion-scrambling" is formed. The experimental results indicate that this algorithm achieves a secure and fast encryption effect. The final information entropy is very close to 8, and the correlation coefficient is approximate to 0. All these tests verify the robustness and practicability of this proposed algorithm.

show abstract

Section: Simulation Results and Security Analysismentioning

confidence: 99%

“…Although the value of Lena in this article is inferior to Refs. [42], it is better than other six Refs [4,12,33,34,43,44]. .…”

Section: Correlation Testmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A new chaotic image encryption algorithm based on transversals in a Latin square

Shen¹,

Shan²,

Tian³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, many combinatorial design structures have been applied in cryptography, such as Latin square [12,[32][33][34][35][36][37], Latin cube [11,13,18], Hadamard matrix [38], etc. Using a simple chaotic system and these uniform combinatorial design structures as auxiliary, better encryption effect can also be achieved.…”

Section: Introductionmentioning

confidence: 99%

A new chaotic image encryption algorithm based on transversals in a Latin square

Shen

Shan

et al. 2022

Preprint

View full text Add to dashboard Cite

There are some good combinatorial structures suitable for image encryption. In this study, a new chaotic image encryption algorithm based on transversals in a Latin square is proposed. An n -transversal has the function of classifying all the matrix's positions, and it can provide a pair of orthogonal Latin squares. Employing an n -transversal of a Latin square, we can permutate an image data group by group for the first time, then use two Latin squares for auxiliary diffusion based on a chaotic sequence, finally make use of a pair of orthogonal Latin squares to do the second scrambling. As a whole, the encryption process of “scrambling-diffusion-scrambling” is formed. The experimental results indicate that this algorithm achieves a secure and fast encryption effect. The final information entropy is very close to 8, and the correlation coefficient is approximate to 0. All these tests verify the robustness and practicability of this proposed algorithm.

show abstract

Latin Square and Machine Learning Techniques Combined Algorithm for Image Encryption

Patel

Thanikaiselvan

2023

Circuits Syst Signal Process

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A new image encryption algorithm based on Latin square matrix

Cited by 41 publications

References 35 publications

A new chaotic image encryption algorithm based on transversals in a Latin square

A new chaotic image encryption algorithm based on transversals in a Latin square

A new chaotic image encryption algorithm based on transversals in a Latin square

Latin Square and Machine Learning Techniques Combined Algorithm for Image Encryption

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