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基于HMS映射和位螺旋变换的图像加密算法

An Image Encryption Algorithm Based on Henon-Modulated-Sine Mapping and Bit-Spiral Transformation

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【作者】 葛斌王婷夏晨星代高乐

【Author】 GE Bing;WANG Ting;XIA Chen-xing;DAI Gao-le;School of Computer Science and Engineering, Anhui University of science and Technology;

【机构】 安徽理工大学计算机科学与工程学院

【摘要】 为了增大混沌映射的密钥空间、提高混沌性能、增强图像加密算法的安全性,提出一种基于HMS(Henon-Modulated-Sine)映射与位螺旋变换(Bite-Spiral)相结合的图像加密算法(HMS-BS)。首先对Henon映射进行缩放处理,将缩放结果作为Sine映射的输入,构建HMS复合映射,并通过分岔图、样本熵等衡量标准来验证HMS映射的混沌特性。然后,基于HMS映射,采用“两轮置乱-扩散”策略,根据索引矩阵对图像进行HMS置乱,并将置乱后的图像进行分块处理。其中,块间使用HMS映射进行比特级置乱,块内使用螺旋变换进行比特级扩散。最后进行矩阵重构和正反向非序列扩散来改变图像的统计直方特性,得到密文图像。实验结果表明,HMS-BS算法可抵御多种攻击,具有较高的安全性。

【Abstract】 In order to increase the key space of the chaotic map, improve the chaotic performance, and enhance the security of the image encryption algorithm, an image encryption algorithm(HMS-BS)based on the combination of Henon-Modulated-Sine(HMS)mapping and Bit Spiral transform(Bit-Spiral)is proposed. Firstly, the Henon mapping was scaled, the scaling result was used as the input of sine map, the HMS composite map was constructed, and the chaotic characteristics of HMS map were verified by measuring standards such as bifurcation diagram and sample entropy. Then, based on HMS mapping, the "two rounds of scrambling diffusion" strategy was adopted. Firstly, the image was HMS scrambled to break the correlation between pixels, and then the scrambled image was processed in blocks. Among them, the inter block sequential scrambling and intra block bit-spiral transformation were used to reduce the time complexity of the algorithm. Finally, matrix reconstruction and forward and reverse non sequential diffusion were carried out to change the statistical histogram characteristics of the image to obtain the ciphertext image. Experimental results show that HMS-BS algorithm can resist a variety of attacks and has high security.

【基金】 国家自然科学基金(6210071479);安徽省自然科学基金(2108085QF258);安徽省高等学校自然科学研究项目(重点项目)(KJ2020A0299);安徽理工大学青年科学研究基金项目(重点项目)(QN2019102)
  • 【文献出处】 计算机仿真 ,Computer Simulation , 编辑部邮箱 ,2023年11期
  • 【分类号】TP309.7
  • 【下载频次】24
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