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基于二维超混沌与三维混沌复合的图像加密算法

A Composite Digital Image Encryption Algorithm Based on 2D Hyper Chaos and 3D Chaos

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摘要

针对单混沌系统、低维混沌系统加密算法存在安全缺陷的问题, 提出了一种二维超混沌与三维混沌复合的图像加密算法。首先通过迭代产生Kawakami超混沌序列, 用来进行像素置换; 再通过明文像素值控制吕系统的初始条件和迭代参数以生成吕混沌序列, 用于像素替换和扩散。算法中将明文像素值之和跟单个像素值关联到混沌系统的初始值和预迭代次数的产生, 加强了明密文关系的复杂性, 增大了密钥空间。实验表明,该算法加密效率高, 只需两轮加密就可实现较好的加密效果, 且有较好的抗攻击能力。

Abstract

To solve the existing safety problems in the encryption algorithm of the single chaotic system and the low-dimension chaotic system, a composite digital image encryption algorithm based on 2D hyper chaotic system and 3D chaotic system was proposed.Firstly, Kawakami hyper chaotic sequences were generated by iteration, which were used for pixel shuffling. Secondly, the initial conditions and iteration parameters of LV system were controlled by plaintext pixel values to generate LV chaotic sequences, which were used for substituting and diffusing the images.The generation of initial values and pre-iteration times of the chaotic system was associated with the sum of plaintext pixel values and single pixel value. The whole process enhanced the complexity of the relationship between plaintext and cryptograph, and enlarged the cipher space. The experimental results show that the proposed algorithm has high encrypting efficiency and can achieve a satisfying encryption effect with only two rounds of encryption. Furthermore, it has a desirable ability to resist different kinds of attacks.

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补充资料

中图分类号:TP391

DOI:10.3969/j.issn.1671-637x.2018.11.008

所属栏目:学术研究

收稿日期:2017-09-20

修改稿日期:2018-08-31

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作者单位    点击查看

吴贻峰:兰州理工大学电气工程与信息工程学院, 兰州 730050
缑新科:兰州理工大学电气工程与信息工程学院, 兰州 730050

备注:吴贻峰(1992 —),男, 河南信阳人, 硕士生, 研究方向为数字信号处理、混沌加密。

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引用该论文

WU Yifeng,GOU Xinke. A Composite Digital Image Encryption Algorithm Based on 2D Hyper Chaos and 3D Chaos[J]. Electronics Optics & Control, 2018, 25(11): 42

吴贻峰,缑新科. 基于二维超混沌与三维混沌复合的图像加密算法[J]. 电光与控制, 2018, 25(11): 42

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