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Journal of Lightwave Technology

Redundancy-Free Key Distribution Using Multiple Phase Offset for Secure Data Center

Yufeng Luo, Xinshuai Liang, Chongfu Zhang, Wenjun Zeng, Kun Qiu

Published Sep 27, 2023• 29 citations
Publisher

Abstract

This article proposes a redundancy-free multiple phase-offset based key distribution (MPO-KD) scheme for solving the physical-layer session key agreement in optical data center interconnections (DCIs). High-dimensional chaotic encryption is a promising technology expected to provide better security for massive-scale data transmission in DCIs. Considering the huge key space introduced by hyper-chaos, the proposed scheme converts digital keys into the phase of quadrature amplitude modulation (QAM) symbols by actively introducing controllable offsets. The solution of offset factor space is modeled as a multi-objective optimization problem for improving the key distribution performance. The Pareto optimal set is obtained using the non-dominated sorting moth-flame optimization (NS-MFO) algorithm. The two-channel 140 Gb/s 16-QAM, 176 Gb/s 32-QAM and 210 Gb/s 64-QAM orthogonal frequency division multiplexing (OFDM) signal transmissions are successfully demonstrated. The results indicate that this scheme achieves error-free key distribution without degrading system performance, which supports an expandable large key space and has good compatibility with various encryption algorithms.

DOI
10.1109/jlt.2023.3320037

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This article proposes a redundancy-free multiple phase-offset based key distribution (MPO-KD) scheme for solving the physical-layer session key agreement in optical data center interconnections (DCIs). High-dimensional chaotic encryption is a promising technology expected to provide better security for massive-scale data transmission in DCIs. Considering the huge key space introduced by hyper-chaos, the proposed scheme converts digital keys into the phase of quadrature amplitude modulation (QAM) symbols by actively introducing controllable offsets. The solution of offset factor space is modeled as a multi-objective optimization problem for improving the key distribution performance. The Pareto optimal set is obtained using the non-dominated sorting moth-flame optimization (NS-MFO) algorithm. The two-channel 140 Gb/s 16-QAM, 176 Gb/s 32-QAM and 210 Gb/s 64-QAM orthogonal frequency division multiplexing (OFDM) signal transmissions are successfully demonstrated. The results indicate that this scheme achieves error-free key distribution without degrading system performance, which supports an expandable large key space and has good compatibility with various encryption algorithms.
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The network traffic of data centers (DCs) has increased unprecedentedly with the rapid development of digital economy. However, the data transmission faces security threats in the distributed optical interconnection and intensive interaction of DC networks. In this paper, we propose a chaotic phase noise-like encryption algorithm using geometric shaping (GS) for coherent DC interconnections (DCIs). A GS constellation is used to improve transmission performance, and it is combined with coherent equalization algorithms to improve security performance. Then, a chaotic encryption is designed based on phase noise-like transformation (PNLT). The data are effectively scrambled, and the confusion level of phase can be increased. Finally, 216 Gb/s 8-quadrature amplitude modulation (8-QAM) encrypted data are successfully verified on a 240 km transmission link of DCIs. The results show that this scheme can achieve a bit error rate (BER) performance gain of 1.1 dB and provide a highly compatible solution for realizing security enhanced DCIs.
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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.
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