基于祖冲之序列的量子图像加密算法
Quantum Image Encryption Algorithm Based on ZUC
摘要: 近年来,数字图像信息泄露事件时有发生,因此,确保数字图像信息传输的安全性日益凸显。为提高图像的加密强度,首先,本文利用祖冲之序列密码算法,设计分组链接模式对彩色图像进行加密。接着,使用量子Arnold置乱算法对祖冲之序列加密算法生成的密文图像进行进一步的置乱处理。最后,得到最终的密文图像。实验结果表明,经过这一系列的加密步骤后,图像中相邻像素之间的相关性被明显减弱,说明该方法显著增强了图像的置乱效果,大幅度地改变了像素灰度的统计特性。此外,本文进行了经典计算机仿真模拟,验证了所提方案的有效性;通过分析直方图和信息熵,表明该方案具有较高的安全性。
Abstract: In recent years, the leakage of digital image information has occurred frequently, therefore, ensuring the security of digital image information transmission has become increasingly prominent. In order to improve the encryption strength of images, firstly, this article uses the ZUC sequence cipher algorithm to design a group link mode for encrypting color images. Next, the cipher text image generated by ZUC sequence encryption algorithm is further scrambled using quantum Arnold scrambling algorithm. Finally, the final cipher text image is obtained. The experimental results show that after a series of encryption steps, the correlation between neighboring pixels in the image is significantly weakened, indicating that this method significantly enhances the scrambling effect of the image and significantly changes the statistical characteristics of pixel grayscale. In addition, this article conducted classic computer simulation to verify the effectiveness of the proposed scheme; by analyzing the histogram and information entropy, it is shown that this scheme has high security.
文章引用:李亚睛, 王骞卉, 张朝, 李祯祯. 基于祖冲之序列的量子图像加密算法[J]. 计算机科学与应用, 2023, 13(11): 2097-2108. https://doi.org/10.12677/CSA.2023.1311209

参考文献

[1] 黄林荃, 刘会, 张牧. 改进Arnold变换与量子混沌的图像加密系统[J]. 小型微型计算机系统, 2019, 40(9): 1897-1902.
[2] 李玥. 图像块自适应均衡水印算法[D]: [硕士学位论文]. 阜新: 辽宁工程技术大学, 2019.
[3] Zhou, R.G., Wu, Q., Zhang, M.Q. and Shen, C.Y. (2013) Quantum Image Encryption and Decryption Algo-rithms Based on Quantum Image Geometric Transformations. International Journal of Theoretical Physics, 52, 1802-1817. [Google Scholar] [CrossRef
[4] Yang, Y.G., Xia, J., Jia, X. and Zhang, H. (2013) Novel Image Encryption/Decryption Based on Quantum Fourier Transform and Double Phase Encoding. Quantum Information Pro-cessing, 12, 3477-3493. [Google Scholar] [CrossRef
[5] Song, X.H., Wang, S., Abd El-Latif, A.A. and Niu, X.M. (2014) Quantum Image Encryption Based on Restricted Geometric and Color Transformations. Quantum Information Pro-cessing, 13, 1765-1787. [Google Scholar] [CrossRef
[6] Wang, S., Song, X. and Niu, X. (2014) A Novel Encryption Al-gorithm for Quantum Images Based on Quantum Wavelet Transform and Diffusion. In: Pan, J.S., Snasel, V., Corchado, E., Abraham, A. and Wang, S.L., Eds., Intelligent Data Analysis and Its Applications, Volume II, Springer, Cham, 243-250. [Google Scholar] [CrossRef
[7] Hua, T., Chen, J., Pei, D., Zhang, W.Q. and Zhou, N.R. (2015) Quantum Image Encryption Algorithm Based on Image Correlation Decomposition. International Journal of Theoretical Physics, 54, 526-537. [Google Scholar] [CrossRef
[8] Wang, S., Sang, J., Song, X. and Niu, X.M. (2015) Least Signifi-cant Qubit (LSQb) Information Hiding Algorithm for Quantum Image. Measurement, 73, 352-359. [Google Scholar] [CrossRef
[9] Jiang, N., Zhao, N. and Wang, L. (2016) LSB Based Quantum Image Steganography Algorithm. International Journal of Theoretical Physics, 55, 107-123. [Google Scholar] [CrossRef
[10] 曹梓崎. 量子图像加密及水印策略研究[D]: [硕士学位论文]. 大庆: 东北石油大学, 2019.
[11] 桑建芝. 量子彩色图像安全保护关键问题研究[D]: [博士学位论文]. 哈尔滨: 哈尔滨工业大学, 2019.
[12] 陶梦霞. 量子图像置乱和水印算法研究[D]: [硕士学位论文]. 南京: 东南大学, 2019.
[13] 王玲玲. 基于块分类技术的自适应数字图像水印算法研究[D]: [硕士学位论文]. 合肥: 合肥工业大学, 2011.
[14] 易鸿. 基于FPGA的图像硬件加密算法设计[J]. 河南科学, 2016, 34(12): 1976-1981.
[15] 杜红红, 张文英. 祖冲之算法的安全分析[J]. 计算机技术与发展, 2012, 22(6): 151-155.
[16] Kumar, A. and Li, B. (2010) On Implementing Motion-Based Region of Interest Detection on Multi-Core CELL. Computer Vision and Image Under-standing, 114, 1139-1151. [Google Scholar] [CrossRef
[17] Hung, S.H., Tu, C.H. and Yang, W.L. (2011) A Portable, Efficient Inter-Core Communication Scheme for Embedded Multicore Platforms. Journal of Systems Architecture, 57, 193-205. [Google Scholar] [CrossRef
[18] Kim, W., Suh, S., Hwang, W. and Han, J.J. (2014) SVD Face: Illumination-Invariant Face Representation. IEEE Signal Processing Letters, 21, 1336-1340. [Google Scholar] [CrossRef
[19] Wang, Y. and Jiang, Z.W. (2011) Face Detection Based on Skin and Improved ICA. Advanced Materials Research, 219-220, 1486-1490. [Google Scholar] [CrossRef
[20] 牛莹, 张勋才. 基于填充曲线和相邻像素比特置乱的图像加密方法[J]. 电子与信息学报, 2022, 44(3): 1137-1146.
[21] 蒋东华, 刘立东, 陈颖频, 等. 基于分数阶Chen超混沌系统和压缩感知的可视化图像加密算法[J]. 小型微型计算机系统, 2022, 43(11): 2387-2393. [Google Scholar] [CrossRef
[22] 代高乐, 葛斌. 基于DHIM映射和分块置乱的彩色图像加密算法[J]. 赤峰学院学报(自然科学版), 2022, 38(8): 24-28. [Google Scholar] [CrossRef
[23] 李红凯, 裘国永. 基于超混沌理论的小波域分块图像加密算法[J]. 郑州轻工业学院学报(自然科学版), 2014, 29(6): 67-72.
[24] 李雪倩. 基于混沌系统的图像密码系统设计[D]: [硕士学位论文]. 南昌: 江西财经大学, 2020.
[25] 汤鹏志, 李彪, 李晓雄. 基于多线性映射的无证书代理盲签名方案[J]. 合肥工业大学学报(自然科学版), 2012, 35(5): 613-616, 707.
[26] 韩娣. 序列密码Grain-128和祖冲之算法的安全性研究[D]: [硕士学位论文]. 焦作: 河南理工大学, 2017.
[27] 欧阳春娟, 杨群生, 刘昌鑫. 基于粒子群优化的DCT域盲水印算法[J]. 井冈山大学学报(自然科学版), 2011, 32(2): 63-66.