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Image Encryption Authentication Using Orthogonal Transformation on Residual Number System

机译:残数系统上正交变换的图像加密与认证

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摘要

In every communication channel or methodology now-a-days, there is a necessity of secure transmission from sender to the authentic receiver. Therefore a number of data encryption techniques have come up in recent years for different information transfer systems. We are mainly concerned with the types of data, which are represented and interpreted as images. Several classical image encryption approaches like discrete cosine transform or Fourier transform have been proposed and being used. We propose a new method for encrypting images using an orthogonal transformation, namely, Walsh transformation with a key matrix which together fulfill our purpose of cipher. Throughout our operations on image data, we use modular arithmetic so that computations with the resulting residue number system will become efficient. In this paper, we state the algorithm design steps to calculate key matrix which plays the most vital role in any encryption technique. We also show that the total number of possible combinations of key generation is so high for a common brute force or a hacker that virtually it will be impossible to find the authentic key. Also the encryption approach considers image in a divided matrix domain and finally combines all independent cryptographic operations as encryption is a one-to-one mapping. This takes care of the possibility that if any pixel value is ill-stored or wrongly received at the receiver end, which will not affect the decryption process and the final recovered image will differ by a negligible amount. Though this technique is a very simple one, it is very efficient in terms of authenticity, privacy and integrity.
机译:在当今的每个通信渠道或方法中,都必须从发送者到真实的接收者进行安全传输。因此,近年来针对不同的信息传输系统提出了许多数据加密技术。我们主要关注数据类型,这些数据以图像形式表示和解释。已经提出并使用了几种经典的图像加密方法,例如离散余弦变换或傅立叶变换。我们提出了一种使用正交变换对图像进行加密的新方法,即具有密钥矩阵的沃尔什变换,它们共同满足了我们的加密目的。在图像数据的整个操作过程中,我们使用模块化算术,以便使用所得残差数系统进行计算将变得高效。在本文中,我们阐述了计算密钥矩阵的算法设计步骤,该密钥矩阵在任何加密技术中都发挥着至关重要的作用。我们还表明,对于普通的暴力破解者或黑客来说,密钥生成的可能组合的总数如此之多,以至于几乎不可能找到真实的密钥。同样,加密方法在划分的矩阵域中考虑图像,并最终将所有独立的加密操作组合在一起,因为加密是一对一的映射。这可以避免以下可能性:如果在接收器端错误地存储或错误接收了任何像素值,则不会影响解密过程,并且最终恢复的图像相差可忽略不计。尽管这项技术非常简单,但在真实性,隐私性和完整性方面却非常有效。

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