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Multiple-image encryption based on Toeplitz matrix ghost imaging and elliptic curve cryptography
Laser Physics Letters ( IF 1.4 ) Pub Date : 2021-04-19 , DOI: 10.1088/1612-202x/abf5cc
Bian Zhixiang 1 , Zhang Leihong 1 , Ye Hualong 2 , Wang Kaimin 2 , Zhang Dawei 2, 3
Affiliation  

To improve the security of encryption systems, we propose a multiple-image encryption method via Toeplitz matrix ghost imaging and elliptic curve cryptography. Specifically, each unencrypted image is firstly compressed using wavelet transformation. Compressed images are merged into a single image via spatial multiplexing technology. Then, based on the ghost imaging, the phase mask matrix of the speckle sequence is modulated into a random Toeplitz matrix, through the logistic mapping sequence to achieve the encryption of the combined image. The detection data of all images is obtained through a bucket detector. Finally, the obtained detection data is encrypted twice using an elliptic curve asymmetric cryptographic algorithm to obtain the final ciphertext. In the decryption process, images are recovered using elliptic curve, compressive sensing technology and inverse wavelet transformation. This method provides strong security features for encryption systems. The basic principle of the encryption scheme is analyzed theoretically, and the security and robustness of the proposed method are verified by numerical simulation.



中文翻译:

基于Toeplitz矩阵鬼成像和椭圆曲线密码学的多图像加密

为了提高加密系统的安全性,我们提出了一种通过托普利兹矩阵鬼成像和椭圆曲线密码术的多图像加密方法。具体来说,每个未加密的图像首先使用小波变换进行压缩。压缩图像通过空间复用技术合并为单个图像。然后,在鬼成像的基础上,将散斑序列的相位掩模矩阵调制成随机的托普利兹矩阵,通过逻辑映射序列实现组合图像的加密。所有图像的检测数据都是通过一个桶检测器获得的。最后,利用椭圆曲线非对称密码算法对得到的检测数据进行两次加密,得到最终密文。在解密过程中,使用椭圆曲线恢复图像,压缩感知技术和逆小波变换。这种方法为加密系统提供了强大的安全功能。从理论上分析了加密方案的基本原理,并通过数值仿真验证了所提方法的安全性和鲁棒性。

更新日期:2021-04-19
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