Semiconductor superlattice physical unclonable function based two-dimensional compressive sensing cryptosystem and its application to image encryption

Abstract

Most image encryption methods are symmetric cryptosystems, in which the encryptor and decryptor are required to share the same key. To reduce the risk of key generation and key distribution for image cipher scheme, in this paper, we present a novel scheme based on semiconductor superlattice physical unclonable function (SSL-PUF) and two-dimensional compressive sensing (2DCS). Distinguished from other existing CS-based cryptosystems, SSL-PUF with quantum tunneling induced chaos is utilized, in which the key distribution for the public channel can be achieved by a pair of matched SSL-PUF. First, the seed key generated from SSL-PUF is extended with the pseudo-random coupled map lattices (PRCML) module. Next, gradient-type alternating minimization approach is employed to solve the low coherence measurement matrix. Finally, compressing and encrypting can be implemented simultaneously by measuring the plain image bi-directionally. Moreover, the total variation (TV) regularization reconstruction method is optimized based on the Adam algorithm. With low compression ratios and computationally constrained environments, the proposed optimization method can reconstruct images with high quality. Numerous experiments were simulated and analyzed to validate that the proposed 2DCS-based cryptosystems possess well performance, such as image reconstruction effect, security against various attacks, and good robustness.