摘要： 针对现有基于混沌序列的图像加密算法的缺陷，提出一种基于不放回抽样的图像混沌加密算法。该算法采用可变模运算和间接地址映射技术，将混沌序列一对一、高度随机地转换为图像像素地址，实现图像的位置置乱和灰度扰乱加密。对混沌序列的分布无严格要求，使混沌序列的参数和初值可以作为密钥被使用。实验结果表明，与现有同类算法相比，该算法性能优越、运算速度快且易于实现。

关键词: 不放回抽样, 混沌序列, 位置置乱, 灰度扰乱

Abstract: Aiming at defects which are exiting in image encryption algorithm based on chaotic sequences, this paper proposes an image chaotic encryption algorithm based on sampling without replacement. Chaotic sequences are one-to-one and high-stochastically transformed to image pixel address by using variable modular arithmetic and technique of indirect address image, realizing position scrambling and gray disturbing for image encryption. There is no strict restriction on distribution of chaotic sequences, so both parameter and initial value of chaotic sequences are as secret keys. Compared with existing similar methods, the experimental results show that this algorithm has advantages such as more superior performance, high operation speed, and easy realization.

Key words: sampling without replacement, chaotic sequences, position scrambling, gray disturbing

中图分类号: 

• TP391.41