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.%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.
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