| 基于离散混沌系统广义同步定理的数字图像加密方案 |
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| 引用本文： | 臧鸿雁,闵乐泉,吴春雪,赵耿.基于离散混沌系统广义同步定理的数字图像加密方案[J].北京科技大学学报,2007,29(1):96-101. |
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| 作者姓名： | 臧鸿雁 闵乐泉 吴春雪 赵耿 |
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| 作者单位： | 1. 北京科技大学应用科学学院,北京,100083
2. 北京电子科技学院计算机系,北京,100070 |
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| 基金项目： | 国家自然科学基金
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北京电子科技学院信息安全与保密重点实验室开放基金 |
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| 摘 要： | 在建立的离散混沌系统广义同步定理的基础上构造了一个广义混沌同步的离散系统,并结合Henon混沌映射设计了一个数字图像加密方案,能够对灰度图像成功加密并且实现了无失真解密.对该加密方案的密钥空间、密钥参数敏感性分析表明,该加密方案具有较高的安全性.数值仿真实验证明:该加密方案对混沌系统的参数及初始条件扰动极为敏感,任何大于10-15的扰动将使解密失效;该加密方案具有1076的密钥空间,能够有效地应用于网络通讯.
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| 关 键 词： | 图像加密 广义同步 Henon映射 网络通讯 离散混沌系统 广义同步 定理 数字图像 加密方案 system chaos discrete theorem generalized synchronization based scheme 网络通讯 应用 失效 参数敏感性 扰动 条件 验证 数值仿真 |
| 修稿时间： | 2006-09-052006-10-27 |
An image encryption scheme based on generalized synchronization theorem for discrete chaos system |
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| ZANG Hongyan,MIN Lequan,WU Chunxue,ZHAO Geng.An image encryption scheme based on generalized synchronization theorem for discrete chaos system[J].Journal of University of Science and Technology Beijing,2007,29(1):96-101. |
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| Authors: | ZANG Hongyan MIN Lequan WU Chunxue ZHAO Geng |
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| Institution: | 1 Applied Science School, University of Science and Technology Beijing, Beijing 100083, China ;2 Department of Computer Science, Beijing Electronic Science and Technology Institute, Beijing 100070, China |
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| Abstract: | A constructive theorem of generalized synchronization for discrete chaos systems is established. Based on the theorem, a generalized chaotic synchronization discrete system was constructed. Combining this system with the Henon chaotic mapping designs a digital image encryption scheme, which can successfully encrypt and decrypt gray-scale images without any lost. The scheme is sensitive to perturbations of the parameters and initial conditions of the chaos system. Any perturbations which are larger than 10 - 15 will make corresponding decryptions become impossible. The key space of the scheme is as large as 10^76. The analysis of key space and key parameter sensitivity shows that the scheme has sound security. Numerical simulations reveal that the scheme is effective in network communication. |
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| Keywords: | image encryption generalized synchronization Henon mapping network secure communication |
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