| 一种基于高维矩阵变换的混沌图像加密 |
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| 引用本文： | 龚和林,吴连发,舒情.一种基于高维矩阵变换的混沌图像加密[J].微计算机信息,2010(9). |
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| 作者姓名： | 龚和林 吴连发 舒情 |
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| 作者单位： | 上饶师范学院数学与计算机系; |
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| 基金项目： | 基金申请人:吴连发,龚和林,舒情,祝宝满;项目名称:数学方法在数字图像加密中的应用研究;基金颁发部门:江西省教育厅(GJJ09378) |
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| 摘 要： | 提出了一种基于Henon混沌系统和高维准对角矩阵变换的图像加密算法.由初始密钥控制二维Henon混沌映射生成两个置换矩阵和多个环上二阶可逆矩阵.利用获得的置换矩阵结合两类平移变换置乱原始图像;进一步,以二价可逆矩阵为子矩阵构造高维准对角矩阵,再对置乱密文进行高维矩阵变换(模运算)实现灰度值替代二次加密.仿真实验结果表明,该算法易于实现,加密效果理想,对密钥和明文具有敏感依赖性,安全性高。
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| 关 键 词： | 图像置乱 图像加密 Henon映射 准对角矩阵 矩阵变换 |
Image Encryption Algorithm Based on Henon Map and High Dimensional Matrix Transformation |
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| GONG He-lin WU Lian-fa SHU Qing.Image Encryption Algorithm Based on Henon Map and High Dimensional Matrix Transformation[J].Control & Automation,2010(9). |
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| Authors: | GONG He-lin WU Lian-fa SHU Qing |
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| Affiliation: | GONG He-lin WU Lian-fa SHU Qing(Dept.of Mathematics & Computer Science,Shangrao Normal College,Shangrao Jiangxi 334001,China) |
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| Abstract: | A chaotic encryption algorithm based on henon map and high dimensional block diagonal matrix transformation is proposed.Under given initial cipherkey, two permutation matrices and some two dimensional invertible matrices in a ring are constructed by the henon map.With the help of two types of translation transformation, the permutation matrices are adopted to scramble the plaintext image;Furthermore, a high dimensional block diagonal invertible matrix is generated by above two dimensional invertible matrice... |
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| Keywords: | image scrambling image encryption henon map block diagonal matrix matrix transformation |
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