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A New Chaotic Image Encryption Algorithm Based on Transversals in a Latin Square.
Honglian Shen1,2, Xiuling Shan1, Ming Xu3
1School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China.
Entropy (Basel, Switzerland)
|November 11, 2022
Summary
This study introduces a novel image encryption method using Latin squares and n-transversals for secure and efficient data protection. The scrambling-diffusion-scrambling technique offers robust performance and practical application.
Area of Science:
- Cryptography
- Combinatorial Mathematics
- Computer Science
Background:
- Image encryption is crucial for data security.
- Existing methods face challenges in balancing security and efficiency.
- Combinatorial structures offer potential for novel encryption algorithms.
Purpose of the Study:
- To introduce a new image encryption algorithm based on n-transversals of Latin squares.
- To enhance security and efficiency in image encryption.
- To demonstrate the algorithm's effectiveness through rigorous testing.
Main Methods:
- Utilizing an n-transversal of a Latin square to permute image pixels.
- Implementing a scrambling-diffusion-scrambling process.
- Employing chaotic sequences and orthogonal Latin squares for diffusion and secondary scrambling.
Main Results:
- The proposed algorithm achieved excellent encryption effect regarding security and efficiency.
- Experimental results demonstrated robustness, passing various security tests.
- Achieved high information entropy (near 8) and low correlation coefficient (approx. 0).
Conclusions:
- The novel image encryption algorithm is secure, efficient, and practical.
- The use of n-transversals and Latin squares provides a strong foundation for image security.
- The method outperforms many recent image encryption techniques.
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