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Chaos An Interdisciplinary Journal of Nonlinear Science

Publisher’s Note: “Breaking a chaotic secure communication scheme” [Chaos 18, 013121 (2008)]

Jinfeng Hu, Guo JingBo

Published Jun 1, 2008• 2 citations
Publisher
DOI
10.1063/1.2916727

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This paper proposes an adaptive parameter identification method for breaking chaotic shift key communication from the transmitted signal in public channel. The sensitive dependence property of chaos on parameter mismatch is used for chaos adaptive synchronization and parameter identification. An index function about the synchronization error is defined and conjugate gradient method is used to minimize the index function and to search the transmitter's parameter (key). By using proposed method, secure key is recovered from transmitted signal generated by low dimensional chaos and hyper chaos switching communication. Multi-parameters can also be identified from the transmitted signal with noise.
High speed physical secure key distribution in a classical optical fiber channel is unprecedentedly desired for modern secure communication, but it still remains a worldwide technical challenge. In this paper, we propose and experimentally demonstrate a novel high-speed physical secure key distribution scheme based on chaotic optical signal processing and private hardware modules, which employs chaotic self-carrier phase modulation for chaotic bandwidth expansion and time-delayed shift keying of commonly driven synchronized optical chaos for physical layer security. In this scheme, the entropy source rate of synchronized chaos output from two remote response lasers is greatly expanded by chaotic self-carrier delayed nonlinear phase disturbance, which facilitates high speed key extraction from the entropy source with guaranteed randomness. Moreover, a synchronization recovery time of sub-nanosecond is achieved by dynamic keying of the chaotic delay time after chaos synchronization to accelerate the key distribution rate. Based on the proposed scheme, a high physical key distribution rate of 2.1 Gb/s over 40 km is successfully demonstrated in the experiment. The proposed solution provides a promising strategy for future high-speed key distribution based on chaotic optical signal processing and classical fiber channel.
Correlated random bit generation (CRBG) plays an important role in secure communication, particularly for secure key distribution. In this work, we propose and numerically demonstrate a scheme of CRBG based on multi-channel broadband entropy sources and parallel filtering. In this scheme, a chaotic optical frequency comb generator is employed to produce a chaotic frequency comb with multi-channel low-correlated wideband chaos. Based on the commonly driven induced synchronization between two closed-loop distributed feedback lasers and chaotic frequency comb generation, synchronized multi-channel wideband chaos is achieved. Then, parallel filtering is implemented by utilizing an arrayed-waveguide grating to divide the chaotic frequency comb into multi-channel sub-carrier chaos with different wavelengths. To reduce the correlation among adjacent channels and improve the chaos complexity, beating frequency processing with different delay times among adjacent chaotic sub-carriers is performed to get several different sets of chaotic output, among which an enhanced bandwidth over 20 GHz and low correlations are obtained. Moreover, the correlation between the chaotic output and the driving signal can be further suppressed, indicating that the security of the scheme is guaranteed. Multi-channel high-speed CRBG with a total generation rate of 16 Gb/s is successfully achieved at two legitimate users after transmission, with the randomness of multi-channel correlated bit generation verified using a test suite from the National Institute of Standards and Technology. The proposed scheme may provide a way for high-speed multi-channel parallel correlated random bits based on commercial components, which could potentially find applications in future secure optical communication systems.