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arXiv:1311.6234 · Applied Optics

Protocol based on compressed sensing for high-speed authentication and cryptographic key distribution over a multiparty optical network

Wen-Kai Yu, Li Shen, Xu‐Ri Yao, Xuefeng Liu, Ling-An Wu, Guangjie Zhai

Published Nov 11, 2013• 32 citations
arXivHTMLPDF

Abstract

We present a protocol for the amplification and distribution of a one-time-pad cryptographic key over a point-to-multipoint optical network based on computational ghost imaging (GI) and compressed sensing (CS). It is shown experimentally that CS imaging can perform faster authentication and increase the key generation rate by an order of magnitude compared with the scheme using computational GI alone. The protocol is applicable for any number of legitimate user, thus, the scheme could be used in real intercity networks where high speed and high security are crucial.

DOI
10.1364/ao.52.007882

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We present a protocol for the amplification and distribution of a one-time-pad cryptographic key over a point-to-multipoint optical network based on computational ghost imaging (GI) and compressed sensing (CS). It is shown experimentally that CS imaging can perform faster authentication and increase the key generation rate by an order of magnitude compared with the scheme using computational GI alone. The protocol is applicable for any number of legitimate user, thus, the scheme could be used in real intercity networks where high speed and high security are crucial.
In the existing ghost-imaging-based cryptographic key distribution (GCKD) protocols, the cryptographic keys need to be encoded by using many modulated patterns, which undoubtedly incurs long measurement time and huge memory consumption. Given this, based on snapshot compressive ghost imaging, a public network cryptographic key distribution protocol is proposed, where the cryptographic keys and joint authentication information are encrypted into several color block diagrams to guarantee security. It transforms the previous single-pixel sequential multiple measurements into multi-pixel single exposure measurements, significantly reducing sampling time and memory storage. Both simulation and experimental results demonstrate the feasibility of this protocol and its ability to detect illegal attacks. Therefore, it takes GCKD a big step closer to practical applications.
Optical communication has an increasing need for security in public transmission scenarios. Here, we present a protocol for cryptographic key distribution over a public network via a photon-counting compressive imaging system with watermarking, which utilizes a watermarking technique to distribute secure keys, and uses reconstructed images for simultaneous identity authentication and tampering identification. The watermark is embedded in the rearranged compressed measurements of the object, and then the signal is transmitted through a public network. At the receiving terminal, legitimate users can easily extract the watermark as the cryptographic key by using initial keys and the variance characteristic of random measurements. Artificial tampering and attacks can be detected by accurately retrieved images. The realization of this protocol is a step forward toward practical applications, and will be beneficial for the broader fields of optical security in many ways.
Computational ghost imaging is widely used in classical cryptographic key distribution (CKD) because its measurement and reconstruction are equivalent to the encoding and decoding of signals. Although the measurement efficiency and key-generation rate can be improved by using snapshot compressive ghost-imaging technique, it is still hard to deal with the risk of private key leakage. In this paper, we propose a cascade snapshot CKD protocol over a public network. In each round of communication, multiframe binary block diagrams embedded with cryptographic keys, Arnold transform parameters (derived from the checksum data of recovered images in the previous communication), and users' authentication information are superimposed into one image frame that is measured within a single exposure of an array detector, here the Arnold transformation is applied to randomly disrupt the previously used modulation patterns according to the above parameters, which greatly enhances the nonstealability of private keys and makes the temporary intrusion of a fake identity nowhere to hide. Both simulation and experimental results have demonstrated the feasibility of this protocol and its ability to detect illegal attacks. We believe that the introduction of the cascade idea will accelerate the practicalization process of snapshot CKD.
In existing cryptographic key distribution (CKD) protocols based on computational ghost imaging (CGI), the interaction among multiple legitimate users is generally neglected, and the channel noise has a serious impact on the performance. To overcome these shortcomings, we propose a multi-party interactive CKD protocol over a public network, which takes advantage of the cascade ablation of fragment patterns (FPs). The server splits a quick-response (QR) code image into multiple FPs and embeds different "watermark" labels into these FPs. By using a CGI setup, the server will acquire a series of bucket value sequences with respect to different FPs and send them to multiple legitimate users through a public network. The users reconstruct the FPs and determine whether there is an attack in the public channel according to the content of the recovered "watermark" labels, so as to complete the self-authentication. Finally, these users can extract their cryptographic keys by scanning the QR code (the cascade ablation result of FPs) returned by an intermediary. Both simulation and experimental results have verified the feasibility of this protocol. The impacts of different attacks and the noise robustness have also been investigated.
Compressive Sensing (CS), which makes it possible to reduce the amount of data and thereby greatly simplify the sensor system has become a very important research area. In this method, data is compressed before measurements whereas data is first measured and then compressed in the current technology. This approach leads to reducing the number of sensors. In this study, simultaneous compressive sensing and optical cryptography is developed as a new approach for encryption and decryption of signals and images. In the current work, CS is achieved with the orthogonal matching pursuit (OMP) algorithm. Then, the CS-OMP algorithm is combined with the double random phase/amplitude encyrption (DRPAE) method to achieve both compression and encyrption of data. In order to achieve high security, the keys used in DRPAE are transmitted to the receiver by an asymmetric cryptography method, such as the RSA method. Thus, the overall cryptographic system is a hybrid optical system (both symmetric and asymmetric) since DRPAE is a symmetric optical encyrption method. In this approach, the use of the detection matrix in CS also protects DRPAE phase/amplitude keys against well-known attacks which no longer function. The data size is also decreased.