基于二维斜帐篷映射和中国剩余定理的彩色图像加密算法

Color Image Encryption Algorithm Based on 2D Skew Tent Map and Chinese Remainder Theorem

摘要: 本文将二维斜帐篷映射与中国剩余定理相结合，提出了一种基于置换–扩散模式的高效图像加密算法。在置换过程中，该算法利用二维斜帐篷映射生成混沌序列，通过对混沌序列进行升序排列得到位置置换索引序列，用于图像像素位置的随机置乱。在扩散过程中，利用中国剩余定理对置乱后的图像颜色分量进行重构，并引入实数广义Arnold映射来改变图像颜色分量的灰度值分布。各种安全性分析都表明了本文提出的图像加密算法的有效性，能有效抵御各种攻击。

Abstract: An efficient image encryption algorithm based on permutation-diffusion mode is proposed by combining 2D skew tent map with Chinese remainder theorem. In the permutation process, the algorithm uses 2D skew tent map to generate chaotic sequences and arrange the chaotic sequences in ascending order to obtain the position index sequences, which are used for random scrambling of image pixel positions. In the diffusion process, Chinese Remainder Theorem is used to reconstruct the scrambled image color components, and a generalized Arnold map with real parameters is introduced to change the gray value distribution of the image color component. All kinds of security analysis show that the image encryption algorithm proposed in this paper is effective and can effectively resist various attacks.