A new chaotic image encryption algorithm based on transversals in a Latin square
This addresses image security for applications like data protection, but it appears incremental as it builds on existing chaotic and Latin square methods.
The paper tackled the problem of image encryption by proposing a new chaotic algorithm based on transversals in a Latin square, achieving a secure and fast encryption effect with information entropy close to 8 and correlation coefficient near 0.
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.