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Image encryption scheme based on a new secure variant of Hill cipher and 1D chaotic maps

机译：基于希尔密码和一维混沌映射的新安全变体的图像加密方案

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This article suggests a new image encryption algorithm based on a secure variant of Hill Cipher (HC) and three improved one-dimensional (1D) chaotic maps. The proposed scheme fully satisfies the two basic concepts of security, namely confusion and diffusion. The confusion is ensured by the product of a vector consisting of the key-pixel couple and a 2 x 2 Hill matrix on the one hand, and the addition of another pseudo-random translation vector on the other hand. And the diffusion is ensured by a strong avalanche effect that links each encrypted pixel to its adjacent. The chaotic sequences used come from 1D chaotic maps with excellent statistical proprieties. The proposed algorithm aims to encrypt pixel-bypixel all types of images, even those with a high correlation of adjacent pixels or a black background, and to make the encryption system more secure. So, the simulation results performed on a database of color and grayscale images show that the histogram of a cipher image produced a uniform distribution, a higher entropy, a correlation among image pixels that was significantly decreased; Also, the proposed algorithm has great performance in terms of sensitivity, UACI and NPCR. (C) 2019 Published by Elsevier Ltd.
机译：本文提出了一种基于希尔密码（HC）和三个改进的一维（1D）混沌图的安全变体的新图像加密算法。所提出的方案完全满足了安全性的两个基本概念，即混淆和扩散。一方面通过包含关键像素对和2 x 2 Hill矩阵的向量，另一方面通过添加另一个伪随机转换向量的乘积来确保混淆。并且通过将每个加密像素链接到其相邻像素的强大雪崩效应确保了扩散。所使用的混沌序列来自具有良好统计特性的一维混沌图。提出的算法旨在对所有类型的图像进行逐像素加密，即使相邻像素或黑色背景具有高相关性的图像，也可以使加密系统更加安全。因此，在彩色和灰度图像数据库上进行的仿真结果表明，密码图像的直方图产生均匀的分布，更高的熵，图像像素之间的相关性大大降低；此外，该算法在灵敏度，UACI和NPCR方面均具有出色的性能。 （C）2019由Elsevier Ltd.发布

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