With advances in modern technology, the security of information, including the protection of digital images, is of particular interest. Due to the type of special storage format of images and the fateful dimension of 1D map that have a small secret key space, in this paper, a joint-based encryption technique on the pseudo-random and sophisticated character of hyperchaotic behavior and DNA coding is proposed. The entire dynamics of a financial hyperchaotic system is studied for a better selection of the sequence key using nonlinear analysis tools. A rich dynamic of this analysis reveals a plethora of phenomena such as multistability and offset boosting, which, to our knowledge, have not yet been the subject of a study on financial hyperchaotic systems. The set consisting of the pseudo-random aspect of the financial hyperchaotic system used in all stages of encryption, DNA coding (algebraic operations, complementation, and DNA rules), and the scrambling of the positions of each image pixel is exploited to reinforce the effectiveness of the confusion and diffusion of digital images. To analyze the security and robustness of the proposed algorithm, some security tests such as histogram analysis, correlation, information entropy, as well as key analysis are carried out. The values of correlation coefficients of the encrypted images using the proposed scheme are close to zero, The entropy values of the test images are overall greater than 7.99 and the key space of the is greater than 2¹⁰⁰. Besides, differential analysis shows that the number of pixel change rate (NPCR) and unified average change intensity (UACI) for the proposed technique are greater than 99.50% and 30%, respectively. Furthermore, the quantitative analyses of occlusion and data loss attacks as well as the results of comparison with some advanced algorithms show the efficiency and security of the proposed cryptosystem.

随着现代技术的进步，信息安全，包括数字图像的保护，尤其受到关注。由于图像的特殊存储格式类型和一维地图的决定性维度具有很小的密钥空间，本文提出了一种基于超混沌行为和DNA编码的伪随机复杂特征的联合加密技术。建议的。为了使用非线性分析工具更好地选择序列密钥，研究了金融超混沌系统的整个动力学。这种分析的丰富动态揭示了大量现象，例如多重稳定性和抵消提升，据我们所知，这些现象尚未成为金融超混沌系统研究的主题。由金融超混沌系统的伪随机方面组成的集合，用于加密、DNA 编码（代数运算、互补和 DNA 规则）的所有阶段以及每个图像像素位置的加扰，以增强有效性数字图像的混乱和扩散。为分析所提算法的安全性和鲁棒性，进行了直方图分析、相关性、信息熵、密钥分析等安全性测试。使用该方案的加密图像的相关系数值接近于零，测试图像的熵值总体大于7.99，密钥空间大于2 并且利用每个图像像素位置的打乱来增强数字图像的混淆和扩散的有效性。为分析所提算法的安全性和鲁棒性，进行了直方图分析、相关性、信息熵、密钥分析等安全性测试。使用该方案的加密图像的相关系数值接近于零，测试图像的熵值总体大于7.99，密钥空间大于2 并且利用每个图像像素位置的打乱来增强数字图像的混淆和扩散的有效性。为分析所提算法的安全性和鲁棒性，进行了直方图分析、相关性、信息熵、密钥分析等安全性测试。使用该方案的加密图像的相关系数值接近于零，测试图像的熵值总体大于7.99，密钥空间大于2 以及进行关键分析。使用该方案的加密图像的相关系数值接近于零，测试图像的熵值总体大于7.99，密钥空间大于2 以及进行关键分析。使用该方案的加密图像的相关系数值接近于零，测试图像的熵值总体大于7.99，密钥空间大于2¹⁰⁰ . 此外，差异分析表明，所提出技术的像素变化率（NPCR）和统一平均变化强度（UACI）的数量分别大于99.50％和30％。此外，对遮挡和数据丢失攻击的定量分析以及与一些先进算法的比较结果表明了所提出的密码系统的效率和安全性。