一种新的基于可逆矩阵的具有完整性检验能力的图像加密方案

图学学报

一种新的基于可逆矩阵的具有完整性检验能力的图像加密方案

出版日期:2012-04-27 发布日期:2015-07-28

A novel image encryption scheme with the capability of checking integrity based on inverse matrix

Online:2012-04-27 Published:2015-07-28

摘要/Abstract

摘要： 为了保护图像信息的安全，论文利用组合理论知识，提出一种新的基于可
逆整数矩阵的、具有完整性检验能力的图像加密方案。应用该方案将一个灰度图像加密生成
一个脆弱的噪声密图，解密过程是加密的简单逆过程。密图的完整性可以凭借人类视觉系统
进行检验，不需要任何复杂的计算。当密图遭受恶意篡改时，解密得到一个噪声图，无法得
到原始图像的任何信息。论文加密方案的密钥简单，且密钥空间足够大。理论分析和实验结
果证明了，该方案为图像加密提供了一种高安全性和有效的机制。

关键词: 模M 可逆整数矩阵, 数字图像加密算法, 完整性检验能力, 脆弱的密图

Abstract: In this paper, a novel image encryption scheme with the capability of checking
integrity based on inverse matrix is proposed for image security by utilizing combinatorial theory.
A fragile and noised cipher-image is yielded by applying this scheme to grey-level image.
Decryption is a simple reversed process of encryption. The integrity of cipher-image can be
checked by human visual system without any complicated computations. When the cipher-image
is tempered, we cannot gain any information about the secret image except a noised image. The
key is simple and large enough. Theoretical analysis and experimental results demonstrate that the
proposed scheme offers a high secure and effective mechanism for image encryption.

Key words: modal M inverse matrix, digital image encryption algorithm, capability of
checking integrity, fragile cipher-image

欧锻灏，孙伟，林博. 一种新的基于可逆矩阵的具有完整性检验能力的图像加密方案[J]. 图学学报.

Ou Duanhao, Sun Wei, Lin Bo. A novel image encryption scheme with the capability of checking integrity based on inverse matrix[J]. Journal of Graphics.