Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2408.12962 · IEEE Transactions on Information Theory

Whispering Secrets in a Crowd: Leveraging Non-Covert Users for Covert Communications

Abdelaziz Bounhar, Mireille Sarkiss, Michèle Wigger

Published Jun 26, 2026• 2 citations
arXivHTMLPDF

Abstract

This paper establishes the fundamental limits of a multi-access system where multiple users communicate to a legitimate receiver in presence of an external warden. Only a specific subset of the users, called covert users, needs their communication to remain undetected to the warden, while the remaining non-covert users have no such constraint. The fundamental limits show a tradeoff between the different rates that are simultaneously achievable at the various users in function of the secret-key rates that the different users share with the legitimate receiver. Interestingly, the presence of the non-covert users can enhance the capacities of the covert users, especially under stringent secret-key budgets. Our findings underscore the essential requirement of employing a multiplexing (coded time-sharing) strategy to exhaust the fundamental region of all rates that are simultaneously achievable at the covert and the non-covert users. As a side-product of our results, we also establish the covert-capacity secret-key tradeoff for standard single-user and multi-access covert communication systems (without non-covert users), i.e., the largest covert rates that are achievable under given secret-key rate budgets. Previous works had only established the minimum secret-key rates required at largest covert rates.

DOI
10.1109/tit.2026.3702516

Related papers

Covert Multi-Access Communication with a Non-Covert User

Abdelaziz Bounhar, Mireille Sarkiss, Michèle Wigger

In this paper, we caracterize the fundamental limits of a communication system with three users (i.e., three transmitters) and a single receiver where communication from two covert users must remain undetectable to an external warden. Our results show a tradeoff between the highest rates that are simultaneously achievable for the three users. They further show that the presence of a non-covert user in the system can enhance the capacities of the covert users under stringent secret-key constraints. To derive our fundamental limits, we provide an information-theoretic converse proof and present a coding scheme that achieves the performance of our converse result. Our coding scheme is based on multiplexing different code phases, which seems to be essential to exhaust the entire tradeoff region between the rates at the covert and the two non-covert users. This property is reminiscent of the setup with multiple non-covert users, where multiplexing is also required to exhaust the entire rate-region.

arXiv:2404.14056•International Conference on Communications•Jun 9, 2024•2 citations

Mixing a Covert and a Non-Covert User

Abdelaziz Bounhar, Mireille Sarkiss, Michèle Wigger

This paper establishes the fundamental limits of a two-user single-receiver system where communication from User 1 (but not from User 2) needs to be undetectable to an external warden. Our fundamental limits show a tradeoff between the highest rates (or square-root rates) that are simultaneously achievable for the two users. Moreover, coded time-sharing for both users is fundamentally required on most channels, which distinguishes this setup from the more classical setups with either only covert users or only non-covert users. Interestingly, the presence of a non-covert user can be beneficial for improving the covert capacity of the other user.

arXiv:2305.06268•IEEE International Symposium on Information Theory (ISIT)•Jun 25, 2023•10 citations

Capacity-Key Tradeoff in Covert Communication

Abdelaziz Bounhar, Mireille Sarkiss, Michèle Wigger

This paper explores the tradeoff between covert communication capacity and secret key requirements over discrete memoryless channels (DMCs). We focus on settings where under a covertness constraint both communication and key rates are measured as the number of bits per square root of the block-length. While previous work has identified the maximum covert communication rates and the corresponding minimum key rates needed to achieve them, our study characterizes the minimum key rates necessary for all of desired covert communication rates. In equivalent terms, we determine, for any given key rate, the set of achievable covert rates. This relationship defines what we call the covert capacity-key tradeoff.Our analysis reveals several new insights. In scenarios where only small key rates are available and the adversary has a stronger channel than the intended receiver, binary signaling is optimal—regardless of the specific channel characteristics or input alphabets. In these cases, the covert capacity increases linearly with the available key rate. In other cases and for larger key rates, the covert capacity-key tradeoff grows sublinearly.We also extend our findings to multi-access channels (MACs) with binary inputs.

IEEE Information Theory Workshop (ITW)•Sep 29, 2025•0 citations

Covert Communication Over a KKK -User Multiple-Access Channel

Keerthi Suria Kumar Arumugam, Matthieu R. Bloch

We consider a scenario in which K transmitters attempt to communicate covert messages reliably to a legitimate receiver over a discrete memoryless multiple-access channel (MAC) while simultaneously escaping detection from an adversary who observes their communication through another discrete memoryless MAC. We assume that each transmitter may use a secret key that is shared only between itself and the legitimate receiver. We show that each of the K transmitters can transmit on the order of √n reliable and covert bits per n channel uses, exceeding which, the warden will be able to detect the communication. We identify the optimal pre-constants of the scaling, which leads to a complete characterization of the covert capacity region of the K-user binary-input MAC. We show that, asymptotically, all sum-rate constraints are inactive unlike the traditional MAC capacity region. We also characterize the channel conditions that have to be satisfied for the transmitters to operate without a secret key.

arXiv:1803.06007•IEEE Transactions on Information Theory•Jul 22, 2019•100 citations

Covert Capacity-Key Tradeoff Over Discrete Memoryless Networks

Abdelaziz Bounhar, Mireille Sarkiss, Michèle Wigger

This paper characterizes the covert capacity-key tradeoffs for discrete memoryless channels (DMC) and discrete memoryless multiple-access channels (DMMAC). The focus is on channels where communication rates are measured as the number of transmitted bits divided by the square-root of the blocklength and by the square-root of the covertness constraint. Previous results had determined the largest achievable covert rates for these channels, as well as the minimum key rates required to achieve these largest covert rates. In this work, we additionally determine the minimum key rates required at reduced covert rates. Stated differently, we determine the set of all covert rates that are achievable for a given set of key rates. This is termed thecovert capacity-key tradeoff. Our results on the covert capacity-key tradeoffs over DMCs and DMMACs show that for small key rates and when the adversary observes the inputs through a better channel than the legitimate receiver, binary signalling at all transmitters is optimal even for larger input alphabets and the capacity-key tradeoff grows linearly. Moreover, in this regime the covert capacity-key tradeoff of DMMACs is square implying that each of the transmitters can simultaneously achieve its own largest covert rate depending only on its own available key rate, irrespective of the other transmitter. For larger key rates or when the adversary is not uniformly stronger than the legitimate receiver over all inputs, the covert capacity-key tradeoff region of DMMACs is non-square and a tradeoff arises between the rates of the various transmitters.

IEEE Journal on Selected Areas in Information Theory•Jan 1, 2026•0 citations

Keyless Covert Communication via Channel State Information

Hassan ZivariFard, Matthieu R. Bloch, Aria Nosratinia

We consider the problem of covert communication over a state-dependent channel when the Channel State Information (CSI) is available either non-causally, causally, or strictly causally, either at the transmitter alone, or at both transmitter and receiver. Covert communication with respect to an adversary, called “warden,” is one in which, despite communication over the channel, the warden’s observation remains indistinguishable from an output induced by innocent channel-input symbols. Covert communication involves fooling an adversary in part by a proliferation of codebooks; for reliable decoding at the legitimate receiver, the codebook uncertainty is typically removed via a shared secret key that is unavailable to the warden. In contrast to previous work, we do not assume the availability of a large shared key at the transmitter and legitimate receiver. Instead, we only require a secret key with negligible rate to bootstrap the communication and our scheme extracts shared randomness from the CSI in a manner that keeps it secret from the warden, despite the influence of the CSI on the warden’s output. When CSI is available at the transmitter and receiver, we derive the covert capacity region. When CSI is only available at the transmitter, we derive inner and outer bounds on the covert capacity. We also provide examples for which the covert capacity is positive with knowledge of CSI but is zero without it.

arXiv:2003.03308•IEEE Transactions on Information Theory•Dec 13, 2021•34 citations
This paper establishes the fundamental limits of a multi-access system where multiple users communicate to a legitimate receiver in presence of an external warden. Only a specific subset of the users, called covert users, needs their communication to remain undetected to the warden, while the remaining non-covert users have no such constraint. The fundamental limits show a tradeoff between the different rates that are simultaneously achievable at the various users in function of the secret-key rates that the different users share with the legitimate receiver. Interestingly, the presence of the non-covert users can enhance the capacities of the covert users, especially under stringent secret-key budgets. Our findings underscore the essential requirement of employing a multiplexing (coded time-sharing) strategy to exhaust the fundamental region of all rates that are simultaneously achievable at the covert and the non-covert users. As a side-product of our results, we also establish the covert-capacity secret-key tradeoff for standard single-user and multi-access covert communication systems (without non-covert users), i.e., the largest covert rates that are achievable under given secret-key rate budgets. Previous works had only established the minimum secret-key rates required at largest covert rates.
In this paper, we caracterize the fundamental limits of a communication system with three users (i.e., three transmitters) and a single receiver where communication from two covert users must remain undetectable to an external warden. Our results show a tradeoff between the highest rates that are simultaneously achievable for the three users. They further show that the presence of a non-covert user in the system can enhance the capacities of the covert users under stringent secret-key constraints. To derive our fundamental limits, we provide an information-theoretic converse proof and present a coding scheme that achieves the performance of our converse result. Our coding scheme is based on multiplexing different code phases, which seems to be essential to exhaust the entire tradeoff region between the rates at the covert and the two non-covert users. This property is reminiscent of the setup with multiple non-covert users, where multiplexing is also required to exhaust the entire rate-region.
This paper establishes the fundamental limits of a two-user single-receiver system where communication from User 1 (but not from User 2) needs to be undetectable to an external warden. Our fundamental limits show a tradeoff between the highest rates (or square-root rates) that are simultaneously achievable for the two users. Moreover, coded time-sharing for both users is fundamentally required on most channels, which distinguishes this setup from the more classical setups with either only covert users or only non-covert users. Interestingly, the presence of a non-covert user can be beneficial for improving the covert capacity of the other user.
This paper explores the tradeoff between covert communication capacity and secret key requirements over discrete memoryless channels (DMCs). We focus on settings where under a covertness constraint both communication and key rates are measured as the number of bits per square root of the block-length. While previous work has identified the maximum covert communication rates and the corresponding minimum key rates needed to achieve them, our study characterizes the minimum key rates necessary for all of desired covert communication rates. In equivalent terms, we determine, for any given key rate, the set of achievable covert rates. This relationship defines what we call the covert capacity-key tradeoff.Our analysis reveals several new insights. In scenarios where only small key rates are available and the adversary has a stronger channel than the intended receiver, binary signaling is optimal—regardless of the specific channel characteristics or input alphabets. In these cases, the covert capacity increases linearly with the available key rate. In other cases and for larger key rates, the covert capacity-key tradeoff grows sublinearly.We also extend our findings to multi-access channels (MACs) with binary inputs.
We consider a scenario in which K transmitters attempt to communicate covert messages reliably to a legitimate receiver over a discrete memoryless multiple-access channel (MAC) while simultaneously escaping detection from an adversary who observes their communication through another discrete memoryless MAC. We assume that each transmitter may use a secret key that is shared only between itself and the legitimate receiver. We show that each of the K transmitters can transmit on the order of √n reliable and covert bits per n channel uses, exceeding which, the warden will be able to detect the communication. We identify the optimal pre-constants of the scaling, which leads to a complete characterization of the covert capacity region of the K-user binary-input MAC. We show that, asymptotically, all sum-rate constraints are inactive unlike the traditional MAC capacity region. We also characterize the channel conditions that have to be satisfied for the transmitters to operate without a secret key.
This paper characterizes the covert capacity-key tradeoffs for discrete memoryless channels (DMC) and discrete memoryless multiple-access channels (DMMAC). The focus is on channels where communication rates are measured as the number of transmitted bits divided by the square-root of the blocklength and by the square-root of the covertness constraint. Previous results had determined the largest achievable covert rates for these channels, as well as the minimum key rates required to achieve these largest covert rates. In this work, we additionally determine the minimum key rates required at reduced covert rates. Stated differently, we determine the set of all covert rates that are achievable for a given set of key rates. This is termed thecovert capacity-key tradeoff. Our results on the covert capacity-key tradeoffs over DMCs and DMMACs show that for small key rates and when the adversary observes the inputs through a better channel than the legitimate receiver, binary signalling at all transmitters is optimal even for larger input alphabets and the capacity-key tradeoff grows linearly. Moreover, in this regime the covert capacity-key tradeoff of DMMACs is square implying that each of the transmitters can simultaneously achieve its own largest covert rate depending only on its own available key rate, irrespective of the other transmitter. For larger key rates or when the adversary is not uniformly stronger than the legitimate receiver over all inputs, the covert capacity-key tradeoff region of DMMACs is non-square and a tradeoff arises between the rates of the various transmitters.
We consider the problem of covert communication over a state-dependent channel when the Channel State Information (CSI) is available either non-causally, causally, or strictly causally, either at the transmitter alone, or at both transmitter and receiver. Covert communication with respect to an adversary, called “warden,” is one in which, despite communication over the channel, the warden’s observation remains indistinguishable from an output induced by innocent channel-input symbols. Covert communication involves fooling an adversary in part by a proliferation of codebooks; for reliable decoding at the legitimate receiver, the codebook uncertainty is typically removed via a shared secret key that is unavailable to the warden. In contrast to previous work, we do not assume the availability of a large shared key at the transmitter and legitimate receiver. Instead, we only require a secret key with negligible rate to bootstrap the communication and our scheme extracts shared randomness from the CSI in a manner that keeps it secret from the warden, despite the influence of the CSI on the warden’s output. When CSI is available at the transmitter and receiver, we derive the covert capacity region. When CSI is only available at the transmitter, we derive inner and outer bounds on the covert capacity. We also provide examples for which the covert capacity is positive with knowledge of CSI but is zero without it.