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IEEE Transactions on Information Forensics and Security

Secret Key Generation With Untrusted Internal Eavesdropper: Token-Based Anti-Eavesdropping

Huici Wu, Yi Fang, Na Li, Xin Yuan, Zhiqing Wei, Guoshun Nan, Xiaofeng Tao

Published Jan 1, 2025• 9 citations
Publisher

Abstract

Physical layer (PHY) secret key generation (SKG) has been widely studied as a promising approach to achieving One-Time-Pad security. The improvement of SKG rate is quite a huge challenge, especially in scenarios with untrusted internal helpers or eavesdroppers that aim to wiretap the negotiated secret keys between legitimate parties. In this paper, we propose a token-based SKG scheme to deal with the problem of information leakage with internal eavesdropping attacks. The basic idea is to cover random pilots with protective tokens to confuse eavesdroppers. Three scenarios including passive external eavesdropping, active internal eavesdropping with a reconfigurable intelligent surface (RIS)-assisted untrusted helper, and active internal eavesdropping with an untrusted relay are considered and analyzed to evaluate the performance of the proposed anti-eavesdropping scheme. Theoretical analysis shows that the proposed token-based SKG scheme can perfectly secure the key negotiation, achieving zero information leakage even in the untrusted relaying scenario without a direct link between Alice and Bob. Moreover, closed-form expressions for secret key capacity (SKC) are obtained. Finally, numerical results indicate that the proposed scheme outperforms the state-of-the-art methods. Using a token-generation mapping function with greater diversity in amplitude and phase, our approach achieves enhanced SKC performance across various scenarios, including those with a passive eavesdropper, a RIS-assisted untrusted helper, and an untrusted relay.

DOI
10.1109/tifs.2025.3542959

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Physical layer (PHY) secret key generation (SKG) has been widely studied as a promising approach to achieving One-Time-Pad security. The improvement of SKG rate is quite a huge challenge, especially in scenarios with untrusted internal helpers or eavesdroppers that aim to wiretap the negotiated secret keys between legitimate parties. In this paper, we propose a token-based SKG scheme to deal with the problem of information leakage with internal eavesdropping attacks. The basic idea is to cover random pilots with protective tokens to confuse eavesdroppers. Three scenarios including passive external eavesdropping, active internal eavesdropping with a reconfigurable intelligent surface (RIS)-assisted untrusted helper, and active internal eavesdropping with an untrusted relay are considered and analyzed to evaluate the performance of the proposed anti-eavesdropping scheme. Theoretical analysis shows that the proposed token-based SKG scheme can perfectly secure the key negotiation, achieving zero information leakage even in the untrusted relaying scenario without a direct link between Alice and Bob. Moreover, closed-form expressions for secret key capacity (SKC) are obtained. Finally, numerical results indicate that the proposed scheme outperforms the state-of-the-art methods. Using a token-generation mapping function with greater diversity in amplitude and phase, our approach achieves enhanced SKC performance across various scenarios, including those with a passive eavesdropper, a RIS-assisted untrusted helper, and an untrusted relay.
Reconfigurable intelligent surface (RIS) has been widely studied as a promising approach in improving secret key rate (SKR) for physical layer (PHY) secret key generation (SKG). Existing RIS-assisted PHY SKG studies mainly focus on improving the SKR by optimizing RIS phase. However, RIS can also be exploited by active attackers to contaminate the channel probing. As a result, there is a trade-off between the increased randomness and the improved correlation between legitimate channels and eavesdropping channels in a RIS-assisted SKG system under channel contamination. In this paper, we study the impact of RIS on PHY SKG by analyzing the SKR performance. A closed-form expression for the lower-bound of secret key capacity is obtained. Theoretical analysis shows that gains of legitimate channel, eavesdropping channel, and RIS-induced channels are key parameters in determining whether the assisting RIS is beneficial or harmful to the PHY SKG. Further, a SKR maximization problem under channel contamination is proposed and solved. Results show that the assisting RIS is definitely harmful to the SKG when the gain ratio of legitimate channel and eavesdropping channel is reduced with the leverage of RIS, while it can significantly improve the SKR with an optimized RIS phase when the gain ratio is improved with the help of RIS.
Reconfigurable intelligent surface (RIS) is acknowledged as a promising technique in improving physical layer (PHY) secret key generation (SKG) performance by enhancing the randomness of radio electromagnetic environment. However, RIS can also be adopted by illegal eavesdropper to destroy the channel reciprocity between key-sharing parties. Thus, there is a tradeoff between the enhanced randomness and the decreased channel reciprocity with the application of RIS. This paper aims to answer the question that whether the adversarial RIS is harmful to SKG by studying the SKG performance in the RIS scenario where Alice and Eve each applies a RIS. To this end, the closed-form expression for the upper bound of secret key rate (SKR) and expressions for the autocorrelation coefficients of two probing channel samples within a coherent duration are provided. Results show that the relative positions of Eve and adversarial RIS to Alice and Bob play a key role in determining whether the adversarial RIS is harmful or beneficial to the PHY SKG system.
In this paper, we propose a novel physical-layer secret key generation (SKG) scheme, which is based on reduced random pilot selection at a legitimate transmitter and channel interpolation at a legitimate receiver. As a result, the proposed scheme is capable of reducing pilot overhead and increasing secret key capacity (SKC) while suppressing information leakage to an eavesdropper in a correlated eavesdropping channel. More specifically, a subset of full pilot sequence is activated based on the legitimate channels at the legitimate transmitter, and the full channel coefficients are estimated from the received pilot symbol subset at the legitimate receiver with the aid of our channel interpolation. Additionally, despite the non-reciprocal channel due to the presence of a Doppler shift and an additive noise, our scheme achieves high SKG reliability in comparison to that without our reduced pilot selection or channel interpolation. We also derive the theoretical SKC for the proposed scheme. Our simulation results demonstrate that the proposed SKG scheme exhibits a higher performance in terms of both the SKC and key disagreement ratio.
Physical layer secret key generation (SKG) is a promising supplement for high-level encryption, which leverages the channel reciprocity and the natural randomness of wireless channel. However, practical implementations often exhibit static environment. To solve this problem, this paper proposes a novel secret key generation scheme assisted by an intelligent reflecting surface (IRS) which can smartly reconfigure the radio signal propagation to improve the secret key rate of SKG. Specially, we formulate the minimum achievable secret key capacity in the IRS-assisted multiple-input single-output (MISO) system with multiple eavesdroppers. Then, an optimization framework for designing IRS reflecting coefficients based on the secret key capacity lower bound is proposed. Numerical results show that our optimal IRS-assisted SKG scheme can achieve much higher achievable secret key capacity when compared with two benchmark schemes.
Physical layer secret key generation (SKG) technology can provide lightweight encryption for resource-constrained Internet of Things (IoT) devices. However, many IoT devices are stationary, and the environment is usually static, which leads to ultralow/zero secret key rates. To circumvent this problem, a novel SKG scheme based on reconfigurable intelligent surface (RIS) is proposed for multiple-input single-output (MISO) communications. First, the phase shifts at the RIS are tuned randomly in each frame, which makes time-varying reflection channels superimposed on the original channels. Correspondingly, the key capacity of all nodes within the cell coverage area can be remarkably improved. Compared with the existing methods, the scheme is loosely coupled with the original system. Besides, the closed-form expressions of key capacity taking into account eavesdropping are derived for the case studies of independent and correlated channels. Based on these derivations, we can conclude that sharing the same phase shifts randomness will not lead to key information leakage. More importantly, compared with user-introduced randomness schemes, the proposed scheme can maintain good performance even the number of eavesdropping nodes increases. Furthermore, the impacts of critical parameters on key performance are analyzed, respectively, which offers guidelines for system design. Finally, simulation results verify the theoretical analysis.
Reconfigurable Intelligent Surface (RIS) assisted physical layer key generation has shown great potential to secure wireless communications by smartly controlling signals such as phase and amplitude. However, previous studies mainly focus on RIS adjustment under ideal conditions, while the correlation between the eavesdropping channel and the legitimate channel, a more practical setting in the real world, is still largely under-explored for the key generation. To fill this gap, this paper aims to maximize the RIS-assisted physical-layer secret key generation by optimizing the RIS units switching under the eavesdropping channel. Firstly, we theoretically show that passive eavesdropping significantly reduces RIS-assisted secret key generation. Keeping this in mind, we then introduce a mathematical formulation to maximize the key generation rate and provide a step-by-step analysis. Extensive experiments show the effectiveness of our method in benefiting the secret key capacity under the eavesdropping channel. We also observe that the key randomness, and unmatched key rate, two metrics that measure the secret key quality, are also significantly improved, potentially paving the way to RIS-assisted key generation in real-world scenarios.