计算机应用

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基于TD-ERCS混沌系统的图像加密方法

袁益民 盛利元 尚芳   

  1. 湖南长沙中南大学物理学院 湖南长沙中南大学物理学院 湖南长沙中南大学物理学院
  • 收稿日期:2007-10-24 修回日期:1900-01-01 发布日期:2008-04-01 出版日期:2008-04-01
  • 通讯作者: 袁益民

Image encryption scheme based on TD-ERCS

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  • Received:2007-10-24 Revised:1900-01-01 Online:2008-04-01 Published:2008-04-01

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摘要： 提出了一种基于切延迟椭圆反射腔映射系统（TDERCS）的图像加密方法，通过一组64bit的外部密钥和一个TDERCS混沌系统来实现。混沌系统根据外部密钥产生一组值域在[-1，1]的随机数，这个区间被分为32个部分并对应8种加密运算方式，像素每次的加密操作由当前随机数所对应的加密运算方式决定。在加密完24个像素之后，密钥被修改。该方案设计简单，能够实现任意大小图像的加密，数值实验和性能分析证明其对于一些分析、攻击方式具有很高的安全性。

关键词: 图像加密, 切延迟反射腔映射系统, 混沌密码学

Abstract: A new image encryption scheme based on Tangent-Delay Ellipse Reflecting Cavitymap System (TD-ERCS) was proposed. In the proposed scheme, an external secret key of 64-bit and a TD-ERCS were employed. The initial condition for the TD-ERCS were derived using the external secret and then random numbers in [-1, 1] were generated. The range [-1, 1] was divided into 32 non-overlapping intervals and arranged into eight different groups. Further, eight different types of operations were used to encrypt the pixels of an image and one of them was used for a particular pixel decided by the outcome of the TD-ERCS. After encrypting each block of 24 pixels of the image, the secret key was modified. The simply designed encryption scheme can work on digital image at any size, while its high security to certain analysis and attack method is proved by statistical analysis and key sensitivity tests.

Key words: image encryption, Tangent-deley Ellipse Reflecting Cavity-map System (TD-ERCS), cryptography of chaos

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