Abstract
To realize the safe transmission of images, a chaotic image encryption algorithm based on Latin square and random shift is proposed. The algorithm consists of four parts: key generation, pixel scrambling, pixel replacement, and bit scrambling. Firstly, the key is generated from the plain image to improve the sensitivity of the encryption method. Secondly, each pixel in each row of the image matrix is moved cyclically to the right, in turn, to change the position of the image pixel and realize pixel position scrambling. Then, a 256-order Latin square matrix composed of a chaotic sequence is used as a lookup table, and the replacement coordinates are calculated based on the image pixel value and the chaotic sequence value, replacing the corresponding coordinate elements in the image matrix. Finally, decompose the bitplane of the image matrix and combine it into two-bit matrices, scramble the two bit matrices, respectively, with the Latin square matrix, recombine the scrambled two-bit matrices, and convert them into decimal to obtain the ciphertext image. In the proposed encryption method, all the Latin square matrices used are generated by chaotic sequences, further enhancing the complexity of the generated Latin square matrix and improving the algorithm's security. Experimental results and security analysis show that the proposed algorithm has good security performance and is suitable for image encryption.
Highlights
With the rapid development of modern communication technology, more and more digital images are transmitted on social networks. ese images carry personal information.erefore, how to protect this private information has become a research hotspot [1]
Due to the inherent characteristics of strong correlation and high redundancy between adjacent pixels of an image, some traditional encryption methods such as Data Encryption Standard (DES) or Advanced Encryption Standard (AES) are not suitable for performing digital images encryption because traditional encryption algorithms have the disadvantage of low efficiency when encrypting digital images [2]
Wang [6] proposed an image encryption method based on a one-dimensional chaotic system, which improved the structure of control parameters and the sensitivity of one-dimensional chaotic mapping and improved its ability to resist differential attacks
Summary
With the rapid development of modern communication technology, more and more digital images are transmitted on social networks. ese images carry personal information. Image encryption algorithms based on high-dimensional chaos often scramble the pixels of the image by obtaining the index vector of the chaotic sequence. Because of the good characteristics of the Latin square, Wu [14] proposed a symmetric encryption algorithm and designed a new loom-like 2D substitutionpermutation network. Aiming at the characteristics of chaotic system and Latin square matrix, an image encryption algorithm (LSRS) based on Latin square and random shift is designed. The image pixel value and the rounded chaotic sequence jointly calculate the coordinates of the replaced pixels, which effectively improves the randomness of the algorithm, through the Latin square matrix to scramble the bit plane of the image matrix to enhance the security of the algorithm.
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