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Journal of Lightwave Technology

Cryptanalysis of Practical Optical Layer Security Based on Phase Masking of Mode-Locked Lasers and Multi-Homodyne Coherent Detection

Roi Cohen, Eyal Wohlgemuth, Yaron Yoffe, Yarden Yalinevich, Ido Attia, Almog Yalinevich, Rami Yehoash, Aviv Rabinovich, Dan Sadot

Published Jun 6, 2024• 3 citations
Publisher

Abstract

We have previously suggested a promising approach for optical layer security, incorporating an all-optical spectrum spreading, spectral phase-encoding time-spreading, and noise-protected coherent communication system. An authorized receiver with the spectral phases key can evoke a multi-homodyne coherent detection (MHCD) to reconstruct the noise-submerged signal. Unless deciphered in real-time, by all-optical means and with the correct phases key mask, an adversary cannot reconstruct the transmitted data, which is permanently lost. This feature prohibits unauthorized offline processing, regardless of the resources and efforts available to the adversary, thus making data-in-transit record-proof and resilient to any computational power, including the quantum computer. In this work, we present a novel security analysis for this approach, where three different types of attacks are proposed and thoroughly studied: Naive, Analytic, and Greedy. These algorithms represent different approaches for all-optical phases key cracking. We formulated a mathematical model for a Naive attacker who trials an arbitrary phase mask. In the Analytic approach, the attacker studies the encoding system by trialing arbitrary test patterns. In contrast, the attacker who employs the Greedy approach maximizes his performance in each step until the desired signal-to-noise ratio (SNR) level is obtained. We analyze these approaches analytically and discuss their cryptanalysis aspects concerning performance, complexity, and the photonic hardware used to decode the phase mask. Our simulations and models suggest a set of conditions for an all-optical transmission system that is impervious to cryptography attacks.

DOI
10.1109/jlt.2024.3410646

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We have previously suggested a promising approach for optical layer security, incorporating an all-optical spectrum spreading, spectral phase-encoding time-spreading, and noise-protected coherent communication system. An authorized receiver with the spectral phases key can evoke a multi-homodyne coherent detection (MHCD) to reconstruct the noise-submerged signal. Unless deciphered in real-time, by all-optical means and with the correct phases key mask, an adversary cannot reconstruct the transmitted data, which is permanently lost. This feature prohibits unauthorized offline processing, regardless of the resources and efforts available to the adversary, thus making data-in-transit record-proof and resilient to any computational power, including the quantum computer. In this work, we present a novel security analysis for this approach, where three different types of attacks are proposed and thoroughly studied: Naive, Analytic, and Greedy. These algorithms represent different approaches for all-optical phases key cracking. We formulated a mathematical model for a Naive attacker who trials an arbitrary phase mask. In the Analytic approach, the attacker studies the encoding system by trialing arbitrary test patterns. In contrast, the attacker who employs the Greedy approach maximizes his performance in each step until the desired signal-to-noise ratio (SNR) level is obtained. We analyze these approaches analytically and discuss their cryptanalysis aspects concerning performance, complexity, and the photonic hardware used to decode the phase mask. Our simulations and models suggest a set of conditions for an all-optical transmission system that is impervious to cryptography attacks.
A novel all-optical stealth and secured transmission is proposed and demonstrated. Spectral replicas of the covert signal are carried by multiple tones of a gain switched optical frequency comb, optically coded with spectral phase mask, and concealed below EDFA's noise. The secured signal's spectrum is spread far beyond the bandwidth of a coherent receiver, thus forcing real time all-optical processing. An unauthorized user, who does not possess knowledge on the phase mask, can only obtain a noisy and distorted signal, that cannot be improved by post-processing. On the other hand, the authorized user decodes the signal using an inverse spectral phase mask and achieves a substantial optical processing gain via multi-homodyne coherent detection. A transmission of 20 Gbps under negative -7.5 dB OSNR is demonstrated here, yielding error-free detection by the eligible user.
The capability to form a photonic shield by using a unique all-optical transmission scheme incorporating multi-THz coherent spreading, spectral phase encoding (SPE), and negative optical signal-to-noise ratio (OSNR) completely prevents offline deciphering of captured data-in-transit. This photonic shield scheme provides an ultimate solution to the “harvest-now, decrypt later” threat by eliminating unauthorised recording. Thus, no raw data is available for any post-processing, including by quantum computers. Both the full line rate payload and the asymmetric key exchange, are transmitted through the secured channel. This work presents an industry-level demonstration, including real-time client data transmission and seamlessly continuously changing spectral phase encoding (SPE) photonic keys. A 100 Gbps DP-QPSK signal and a 200 Gbps DP-16QAM link are established over 80 km of standard single mode fiber (SSMF).
This study investigates a multi-stage digital phase-encryption scheme designed for secure coherent optical communication. While the proposed method is implemented in DSP and can be modeled as a software-level stream cipher, it is explicitly co-designed with and tightly coupled to the physical-layer modulation structure. Unlike conventional XOR-based bitwise schemes, the encryption is applied to the symbol phase domain. It is integrated into the transmitter's modulation process, enabling symbol-level security evaluated in conjunction with transmission physics. By applying K-level phase-shift secret keys toM-ary quadrature amplitude modulation (QAM) signals, this method increases the number of secret-key bits per symbol without altering the signal constellation in its baseline configuration. This approach enhances encryption strength while maintaining signal integrity and reducing quantization overhead in phase-only operation. Experimental evaluations on nonlinear optical transmission channels confirm that baseline digital phase encryption preserves Q-factor stability under self-phase modulation, cross-phase modulation, and four-wave mixing. The proposed scheme ensures error-free transmission at forward error correction thresholds, effectively preventing eavesdroppers from reconstructing symbols under worst-case observation conditions. Additionally, simulations analyzing generalized mutual information and quantization errors demonstrate that the encryption scheme can minimize signal-to-noise ratio penalties, even when employing high-order QAM formats with limited digital-to-analog and analog-to-digital conversion resolutions. As an optional extension, we also analyze pseudo-quantum-noise-based IQ spreading and explicitly quantify the associated trade-off between additional noise masking and increased sensitivity to quantization. These findings position multi-stage digital phase encryption as a practical and power-efficient modulation-layer encryption technique whose behavior is systematically characterized under realistic nonlinear channel and hardware constraints, rather than as an entirely new cryptographic primitive.
This paper proposes a non-invasive optical scrambling technique to secure optical transmissions at high data rates (>10Gb/s). The proposed method belongs to the optical code-division multiple access (OCDMA) technique, using spectral phase encoding, based on overlapping of adjacent scrambled/spread pulses to encrypt transmitted data. In our system, data confidentiality is directly related to scrambled/spread pulse interference, avoiding direct detection by a power detector, in contrast to network access application (OCDMA), where this overlapping should be avoided. Our goal is to secure data transmission without impacting the physical layer, by guaranteeing the optical transparency of the encryption technique with respect to conventional transmission equipments. Therefore, we simulated the system penalty as a function of the transmission distance for a bit error rate (BER) target of 10-9 to estimate the impact of the linear and non-linear transmission effects on our encryption technique. We consider a point-to-point span for mono-channel and multi-channel setups where self-phase modulation (SPM) and cross-phase modulation (XPM) become significant. In the last section, we discuss the resilience of our encryption technique to some realistic attack scenarios. The eavesdropper can use the linear optical sampling (LOS) technique, which with coherence conditions on the waveform under test, permits to extract the amplitude and the phase of each spectral compound, enabling, to determinate the phase filter used to encrypt. Determining the necessary time to crack the mask allows us to establish the mask refreshment to guarantee data confidentiality.
In continuous-variables quantum key distribution with coherent states, the advantage of performing the detection by using standard telecoms components is counterbalanced by the lack of a stable phase reference in homodyne detection due to the complexity of optical phase-locking circuits and to the unavoidable phase noise of lasers, which introduces a degradation on the achievable secure key rate. Pilot-assisted phase-noise estimation and postdetection compensation techniques are used to implement a protocol with coherent states where a local laser is employed and it is not locked to the received signal, but a postdetection phase correction is applied. Here the reduction of the secure key rate determined by the laser phase noise, for both individual and collective attacks, is analytically evaluated and a scheme of pilot-assisted phase estimation proposed, outlining the tradeoff in the system design between phase noise and spectral efficiency. The optimal modulation variance as a function of the phase-noise amount is derived.