Variational Secret Common Randomness Extraction

Fuente: arXiv
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Hauptverfasser: Li, Xinyang, Andrei, Vlad C., Gu, Peter J., Chen, Yiqi, Mönich, Ullrich J., Boche, Holger
Format: Preprint
Veröffentlicht: 2025
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author Li, Xinyang
Andrei, Vlad C.
Gu, Peter J.
Chen, Yiqi
Mönich, Ullrich J.
Boche, Holger
author_facet Li, Xinyang
Andrei, Vlad C.
Gu, Peter J.
Chen, Yiqi
Mönich, Ullrich J.
Boche, Holger
contents This paper studies the problem of extracting common randomness (CR) or secret keys from correlated random sources observed by two legitimate parties, Alice and Bob, through public discussion in the presence of an eavesdropper, Eve. We propose a practical two-stage CR extraction framework. In the first stage, the variational probabilistic quantization (VPQ) step is introduced, where Alice and Bob employ probabilistic neural network (NN) encoders to map their observations into discrete, nearly uniform random variables (RVs) with high agreement probability while minimizing information leakage to Eve. This is realized through a variational learning objective combined with adversarial training. In the second stage, a secure sketch using code-offset construction reconciles the encoder outputs into identical secret keys, whose secrecy is guaranteed by the VPQ objective. As a representative application, we study physical layer key (PLK) generation. Beyond the traditional methods, which rely on the channel reciprocity principle and require two-way channel probing, thus suffering from large protocol overhead and being unsuitable in high mobility scenarios, we propose a sensing-based PLK generation method for integrated sensing and communications (ISAC) systems, where paired range-angle (RA) maps measured at Alice and Bob serve as correlated sources. The idea is verified through both end-to-end simulations and real-world software-defined radio (SDR) measurements, including scenarios where Eve has partial knowledge about Bob's position. The results demonstrate the feasibility and convincing performance of both the proposed CR extraction framework and sensing-based PLK generation method.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02048
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Variational Secret Common Randomness Extraction
Li, Xinyang
Andrei, Vlad C.
Gu, Peter J.
Chen, Yiqi
Mönich, Ullrich J.
Boche, Holger
Information Theory
Machine Learning
Signal Processing
This paper studies the problem of extracting common randomness (CR) or secret keys from correlated random sources observed by two legitimate parties, Alice and Bob, through public discussion in the presence of an eavesdropper, Eve. We propose a practical two-stage CR extraction framework. In the first stage, the variational probabilistic quantization (VPQ) step is introduced, where Alice and Bob employ probabilistic neural network (NN) encoders to map their observations into discrete, nearly uniform random variables (RVs) with high agreement probability while minimizing information leakage to Eve. This is realized through a variational learning objective combined with adversarial training. In the second stage, a secure sketch using code-offset construction reconciles the encoder outputs into identical secret keys, whose secrecy is guaranteed by the VPQ objective. As a representative application, we study physical layer key (PLK) generation. Beyond the traditional methods, which rely on the channel reciprocity principle and require two-way channel probing, thus suffering from large protocol overhead and being unsuitable in high mobility scenarios, we propose a sensing-based PLK generation method for integrated sensing and communications (ISAC) systems, where paired range-angle (RA) maps measured at Alice and Bob serve as correlated sources. The idea is verified through both end-to-end simulations and real-world software-defined radio (SDR) measurements, including scenarios where Eve has partial knowledge about Bob's position. The results demonstrate the feasibility and convincing performance of both the proposed CR extraction framework and sensing-based PLK generation method.
title Variational Secret Common Randomness Extraction
topic Information Theory
Machine Learning
Signal Processing
url https://arxiv.org/abs/2510.02048