基于循环替换的新型图像加密方法

IF 2.6 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physica Scripta Pub Date : 2024-09-17 DOI:10.1088/1402-4896/ad7898
Pu Wang, Xiaojun Liu, Jing Xu and Chenhao Lu
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引用次数: 0

摘要

对于位级图像加密算法,像素值和位置可以同时改变。这种操作可以提高图像加密的安全性,但需要进行复杂的计算。因此,需要考虑一种安全性高、计算量合适的新算法。本文提出了一种基于循环置换的新型图像加密算法,它结合了比特级加密和像素级加密方法。首先,本文引入了一种新的具有双曲余弦函数的二维(2D)图(2D-Cosh 图),它具有丰富而复杂的动态特性。基于该图的混沌特性,引入了一种图像加密算法,通过像素位的置换可以扰乱像素,并有效地改变图像像素的位置。通过数值模拟和安全性分析,证明了算法的有效性和可行性。从中可以看出,相关系数几乎为 0,平均熵 = 7.9973,平均 NPCR = 99.6104%,平均 UACI = 33.4664%。由此可见,该算法具有抗差分攻击、抗干扰攻击的能力,可以大大降低加密图像相邻像素的相关性。同时,该算法在加密过程中对彩色图像的大小没有限制。
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A novel image encryption method based on the cycle replacement
For the bit-level image encryption algorithms, pixel values and positions can be changed simultaneously. The operation can enhance the security of image encryption but will require the complicated calculations. Therefore, high security and suitable computation for a new algorithm are needed to be considered. In this paper, a novel image encryption algorithm, which combines the bit-level encryption and the pixel-level encryption methods, is proposed based on the cycle replacement. Firstly, a new 2-dimensional (2D) map with a hyperbolic cosine function (2D-Cosh map) is introduced, which has rich and complex dynamics. Based on the chaotic characteristic of the map, an image encryption algorithm is introduced via the substitution of bit of pixels which can scramble the pixels, and change the image pixel positions effectively. Numerical simulation and security analysis are used to demonstrate the effectiveness and feasibility of the algorithm. From which we can see that the correlation coefficients are almost 0, average entropy = 7.9973, average NPCR = 99.6104%, and average UACI = 33.4664%. It is clear that the algorithm is resistant to differential attacks, interference attacks, and can reduce the correlation of adjacent pixels of the encrypted image greatly. Meanwhile, the algorithm has no limit for the size of a color image in the process of the encryption.
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来源期刊
Physica Scripta
Physica Scripta 物理-物理:综合
CiteScore
3.70
自引率
3.40%
发文量
782
审稿时长
4.5 months
期刊介绍: Physica Scripta is an international journal for original research in any branch of experimental and theoretical physics. Articles will be considered in any of the following topics, and interdisciplinary topics involving physics are also welcomed: -Atomic, molecular and optical physics- Plasma physics- Condensed matter physics- Mathematical physics- Astrophysics- High energy physics- Nuclear physics- Nonlinear physics. The journal aims to increase the visibility and accessibility of research to the wider physical sciences community. Articles on topics of broad interest are encouraged and submissions in more specialist fields should endeavour to include reference to the wider context of their research in the introduction.
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