基于高维超混沌系统和矩阵张量积的图像分组加密新算法

doi:10.3724/SP.J.1087.2012.02262

计算机应用 ›› 2012, Vol. 32 ›› Issue (08): 2262-2264.DOI: 10.3724/SP.J.1087.2012.02262

基于高维超混沌系统和矩阵张量积的图像分组加密新算法

唐宋,徐桂兰,李清都

重庆邮电大学非线性电路与系统研究所, 重庆 400065

收稿日期:2012-02-24 修回日期:2012-04-19 发布日期:2012-08-28 出版日期:2012-08-01
通讯作者: 唐宋
作者简介:唐宋(1982-)，男，四川达州人，硕士研究生，主要研究方向：动力系统、数值计算;
徐桂兰(1985-)，女，四川遂宁人，硕士研究生，主要研究方向：动力系统、数值计算;
李清都(1980-)，男，重庆人，教授，博士，主要研究方向：混沌动力系统、流形计算。
基金资助:
国家自然科学基金资助项目(61174175)

New image group encryption algorithm based on high dimensional hyperchaos system and matrix tensor product

TANG Song¹,XU Gui-lan¹,LI Qing-du²

1. Institute for Nonlinear Circuit and Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2. Institute of Nonlinear Circuits and Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2012-02-24 Revised:2012-04-19 Online:2012-08-28 Published:2012-08-01
Contact: TANG Song

摘要/Abstract

摘要： 目前混沌加密算法主要存在三方面的不足:1)采用低维混沌序列造成混沌退化；2)采用的混沌系统结构过于简单；3)算法只依赖于混沌系统的结构和密钥。针对这些不足，提出一种新的图像分组加密算法。为了克服混沌退化，算法借助矩阵张量积将高维超混沌系统所产生混沌序列和一维混沌序列充分耦合，产生像素扩散矩阵。在此过程中，用明文信息控制扩散矩阵生成，使算法与明文相关，提高了算法的安全强度。

关键词: 混沌系统, 图像加密, 矩阵张量积, 像素扩散矩阵

Abstract: Shortcomings of image encryption schemes based on chaos currently can be mainly classified into three types as follows: firstly, low dimensional chaotic sequences cause degradation of chaos; secondly, the structure of chaotic system adopted is too simple; thirdly, the algorithm is merely related to the structure of chaotic system and key. Concerning the shortcomings above, this paper presented a new image group encryption algorithm. In order to overcome the degradation of chaos, the algorithm generated pixel diffusion matrix by coupling chaotic sequences of high dimensional hyperchaos system with chaotic sequences of one dimensional chaotic mapping by means of matrix tensor product. In the process, the generation of pixel diffusion matrix was controlled by plaintext, thus the algorithm was related to plaintext, which enhanced the security of the algorithm.

Key words: chaos system, image encryption, matrix tensor product, pixel diffusion matrix

中图分类号:

TP309.7

唐宋徐桂兰李清都. 基于高维超混沌系统和矩阵张量积的图像分组加密新算法[J]. 计算机应用, 2012, 32(08): 2262-2264.

TANG Song XU Gui-lan LI Qing-du. New image group encryption algorithm based on high dimensional hyperchaos system and matrix tensor product[J]. Journal of Computer Applications, 2012, 32(08): 2262-2264.

参考文献

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基于高维超混沌系统和矩阵张量积的图像分组加密新算法

New image group encryption algorithm based on high dimensional hyperchaos system and matrix tensor product

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