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arXiv 1802.07545cs.CR
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一种新的基于不同分块大小的灰度和彩色图像加密方案

A Novel Image Encryption Scheme Based on Different Block Sizes for Grayscale and Color Images

Omar Reyad, M. A. Mofaddel, W. M. Abd-Elhafiez, Mohamed Fathy

摘要:

本文针对灰度图像和彩色图像提出了两种图像加密方案。这两种加密方案都是基于将每个图像划分为不同大小的块。在第一种方案中,二维($2$ D)输入图像被划分成大小为$N \times N$的各个块。通过使用Z字形图案将每个块变换成一维($1$ D)阵列。然后,使用异或(XOR)逻辑运算来用类似的秘密密钥加密每个块。在第二方案中,在变换处理之后,每个图像的第一块由对应的秘密密钥加密。然后,在下一个块被加密之前,它与第一个加密块进行异或运算,成为加密例程的下一个输入,依此类推。这种反馈机制依赖于密码块链接(CBC)操作模式,该模式考虑了一些密码的核心,因为它是高度非线性的。在彩色图像的情况下,颜色分量被分成具有相同大小和不同密钥的块。所使用秘密密钥序列从\textit{binary}有限域$\mathbb{F}_{2^{m}}$上的椭圆曲线(EC)生成。最后,通过对加密图像的安全性分析和实验结果表明,两种方案在安全性、敏感性和鲁棒性方面都有较好的性能。

英文摘要:

In this paper, two image encryption schemes are proposed for grayscale and color images. The two encryption schemes are based on dividing each image into blocks of different sizes. In the first scheme, the two dimension ($2$D) input image is divided into various blocks of size $N \times N$. Each block is transformed into a one dimensional ($1$D) array by using the Zigzag pattern. Then, the exclusive or (XOR) logical operation is used to encrypt each block with the analogous secret key. In the second scheme, after the transformation process, the first block of each image is encrypted by the corresponding secret key. Then, before the next block is encrypted, it is XORed with the first encrypted block to become the next input to the encrypting routine and so on. This feedback mechanism depends on the cipher block chaining (CBC) mode of operation which considers the heart of some ciphers because it is highly nonlinear. In the case of color images, the color component is separated into blocks with the same size and different secret keys. The used secret key sequences are generated from elliptic curves (EC) over a \textit{binary} finite field $\mathbb{F}_{2^{m}}$. Finally, the experimental results are carried out and security analysis of the ciphered images are demonstrated that the two proposed schemes had a better performance in terms of security, sensitivity and robustness.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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