Statistical Indistinguishability in Multi-User Covert Communications Without Secret Information

This paper proposes a novel covert communication paradigm in which covertness emerges from network-induced structural uncertainty, eliminating the traditional reliance on pre-shared secret pilots in multi-user cooperative networks. Unlike conventional schemes that create information asymmetry through secret training sequences, we show that structural uncertainty naturally arises from user selection in spatially dispersed networks. Specifically, we consider a public pilot aided system under a worst-case adversarial assumption where Willie possesses full knowledge of all individual channel state information (CSI) but remains uncertain about the active subset of cooperative users. We prove that this selection-induced structural uncertainty renders different transmission states statistically indistinguishable from Willie’s perspective, thereby forcing the optimal detector to reduce to an energy-based test. The proposed framework demonstrates that robust covertness can be achieved without secrecy-based coordination, providing a scalable and practically viable alternative to secret pilot management in future wireless networks.

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Publication Details

Journal
Mathematics
Published
2026-04-07
DOI
https://doi.org/10.3390/math14071227
Primary Topic
Wireless Communication Security Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Statistical Indistinguishability in Multi-User Covert Communications Without Secret Information

Junguk Park, Sangseok Yun, Jinyoung Lee
Mathematics
Wireless Communication Security Techniques
article

Statistical Indistinguishability in Multi-User Covert Communications Without Secret Information

Junguk Park, Sangseok Yun, Jinyoung Lee
article en

Abstract

This paper proposes a novel covert communication paradigm in which covertness emerges from network-induced structural uncertainty, eliminating the traditional reliance on pre-shared secret pilots in multi-user cooperative networks. Unlike conventional schemes that create information asymmetry through secret training sequences, we show that structural uncertainty naturally arises from user selection in spatially dispersed networks. Specifically, we consider a public pilot aided system under a worst-case adversarial assumption where Willie possesses full knowledge of all individual channel state information (CSI) but remains uncertain about the active subset of cooperative users. We prove that this selection-induced structural uncertainty renders different transmission states statistically indistinguishable from Willie’s perspective, thereby forcing the optimal detector to reduce to an energy-based test. The proposed framework demonstrates that robust covertness can be achieved without secrecy-based coordination, providing a scalable and practically viable alternative to secret pilot management in future wireless networks.

MathematicsVol. 14(7)
Korea Maritime and Ocean University (KR), Samsung (South Korea) (KR), Pukyong National University (KR)
National Research Foundation, National Research Foundation of Korea, Ministry of Science and ICT, South Korea
Affordable and clean energy
Openalex Percentile: Top 31%
Wireless Communication Security Techniques
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