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IEEE Journal on Selected Areas in Communications

Cooperative Key Generation in Wireless Networks

Lifeng Lai, Yingbin Liang, Wenliang Kevin Du

Published Aug 23, 2012• 93 citations
Publisher

Abstract

The impact of relay nodes on the secret key generation via the physical layer resources is investigated. A novel relay-assisted strategy is proposed to improve the generated secret key rate. The main idea is to exploit the random channels associated with relay nodes in the network as additional random sources for the key generation. This approach is particularly useful when the channels between legitimate nodes change slowly. Four increasingly sophisticated yet more practical scenarios are studied, for which relay-assisted key generation protocols are proposed and are shown to be optimal or order-optimal in terms of the key rate. It is also shown that the multiplexing gain in the key rate scales linearly with the number of relays, which demonstrates that relay-assisted schemes substantially increase the key rate. This is in sharp contrast to scenarios with relays helping information transmission, in which the multiplexing gain does not scale with the number of relays. Furthermore, a cooperative scheme is also proposed in which relays help key generation but the generated keys are kept secure from these relays.

DOI
10.1109/jsac.2012.120924

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The impact of relay nodes on the secret key generation via the physical layer resources is investigated. A novel relay-assisted strategy is proposed to improve the generated secret key rate. The main idea is to exploit the random channels associated with relay nodes in the network as additional random sources for the key generation. This approach is particularly useful when the channels between legitimate nodes change slowly. Four increasingly sophisticated yet more practical scenarios are studied, for which relay-assisted key generation protocols are proposed and are shown to be optimal or order-optimal in terms of the key rate. It is also shown that the multiplexing gain in the key rate scales linearly with the number of relays, which demonstrates that relay-assisted schemes substantially increase the key rate. This is in sharp contrast to scenarios with relays helping information transmission, in which the multiplexing gain does not scale with the number of relays. Furthermore, a cooperative scheme is also proposed in which relays help key generation but the generated keys are kept secure from these relays.
The impact of relay nodes on the secret key generation via the physical layer resources is investigated. A novel relay-assisted strategy is proposed to improve the generated secret key rate. The main idea is to exploit the random channels associated with relay nodes in the network as additional random sources for the key generation. This approach is particularly useful when the channels between legitimate nodes change slowly. Three increasingly sophisticated yet more practical scenarios are studied, for which relay-assisted key generation protocols are proposed and are shown to be optimal or order-optimal in terms of the key rate. It is also shown that the presence of relay node increases the multiplexing gain. This is in sharp contrast to scenarios with relay helping information transmission, in which the relay node does not increase the multiplexing. Furthermore, a cooperative scheme is also proposed in which relays help key generation but the generated keys are kept secure from these relays.
With a massive amount of wireless sensor nodes in Internet of Things (IoT), it is difficult to establish key distribution and management mechanism for traditional encryption technology. Alternatively, the physical layer key generation technology is promising to implement in IoT, since it is based on the principle of information-theoretical security and has the advantage of low complexity. Most existing key generation schemes assume that eavesdropping channels are independent of legitimate channels, which may not be practical especially when eavesdropper nodes are near to legitimate nodes. However, this paper investigates key generation problems for a multi-relay wireless network in IoT, where the correlation between eavesdropping and legitimate channels are considered. Key generation schemes are proposed for both non-colluding and partially colluding eavesdroppers situations. The main idea is to divide the key agreement process into three phases: 1) we first generate a secret key by exploiting the difference between the random channels associated with each relay node and the eavesdropping channels; 2) another key is generated by integrating the residual common randomness associated with each relay pair; 3) the two keys generated in the first two phases are concatenated into the final key. The secrecy key performance of the proposed key generation schemes is also derived with closed-forms.
By exploiting multipath fading channels as a source of common randomness, physical layer (PHY) based key generation protocols allow two terminals with correlated observations to generate secret keys with information-theoretical security. The state of the art, however, still suffers from major limitations,e.g., low key generation rate, lower entropy of key bits and a high reliance on node mobility. In this paper, a novel cooperative key generation protocol is developed to facilitate high-rate key generation in narrowband fading channels, where two keying nodes extract the phase randomness of the fading channel with the aid of relay node(s). For the first time, we explicitly consider the effect of estimation methods on the extraction of secret key bits from the underlying fading channels and focus on a popular statistical method - maximum likelihood estimation (MLE). The performance of the cooperative key generation scheme is extensively evaluated theoretically. We successfully establish both a theoretical upper bound on the maximum secret key rate from mutual information of correlated random sources and a more practical upper bound from Cramer-Rao bound (CRB) in estimation theory. Numerical examples and simulation studies are also presented to demonstrate the performance of the cooperative key generation system. The results show that the key rate can be improved by a couple of orders of magnitude compared to the existing approaches.
A multiple relays aided secret key generation algorithm is proposed to improve the generated secret key rate for Internet of things when the wireless channels change slowly. First, the two legitimate users and relays send training sequences in turn to estimate the channels. Then, the relays employ secure network coding technique to help the two legitimate users exploit the randomness of relay channels. Finally, the two legitimate users agree on a secret key without the help of relays. In addition, the optimal relays selection with optimal power allocation algorithm is present to further improve the secret key rate when relay selection is needed. The performances of the proposed algorithms are verified by Monte Carlo simulation results.
By exploiting the randomness of wireless channel, secret keys between two terminals can be generated through certain key generation agreement in the physical layer(PHY). However, due to the shorter correlation time of the channel and the Doppler Effect caused by the users' mobility, traditional key generation rate is limited. In this paper, we propose a new physical layer cooperative key generation protocol. Theoretical analysis is also given through both information theory and signal statistical analysis. The simulation results show that compared with non-cooperative key generation protocol, the new protocol greatly improves the key generation rate due to the relay node.
Abstract This paper focuses on high efficiency secret key generation mechanism of physical‐layer communication over fading channels in ubiquitous wireless networks. The secret key rate via traditional physical‐layer approach could be limited when the wireless propagation channels connecting two sensors change slowly. To generate a high‐rate secret key and improve the communication efficiency over quasi‐static block fading channels, a novel multi‐randomness device‐to‐device secret key generation strategy and a cooperative communication mechanism aided by relay nodes are proposed. In the proposed schemes, the legitimate members to send random signals rotationally in every coherent time are set; thus, two legitimate ubiquitous wireless network members, Alice and Bob, can obtain the potential correlated information by exploiting the randomness and the reciprocity of the wireless propagation channels. Considering the reciprocity of wireless channels is variable while the forward channel gain and backward channel gain are correlated in coherent time, a modified secret key generation scheme is proposed via layered coding with theoretical secret key rates derived. The simulation results show that the proposed scheme outperforms traditional approaches with favourable application prospects in ubiquitous wireless communications networks and internet of things.