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arxiv: 2604.06641 · v1 · submitted 2026-04-08 · 💻 cs.IT · math.IT

Frozen-Tag-Based Physical-Layer Authentication Against User Interference

Lei Yao , Boxiang He , Shilian Wang , Ning Xie This is my paper

Pith reviewed 2026-05-10 18:11 UTC · model grok-4.3

classification 💻 cs.IT math.IT
keywords physical-layer authenticationfrozen tagpolar codesuser interferenceeavesdropper securitytag concealmentinterference mitigation
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The pith

A frozen tag from polar codes lets legitimate receivers cancel user interference in physical-layer authentication while hiding the raw tag from eavesdroppers.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper proposes embedding authentication tags as frozen bits within polar codes, using known anchor data as the information bits. This allows the legitimate receiver to decode the structure and remove the effects of interfering signals from other users, which normally corrupt the tag. At the same time, the raw tag remains hidden because an eavesdropper lacks the anchor information needed to interpret the frozen positions correctly. The approach is analyzed for its ability to improve detection accuracy and reduce the risk of tag exposure compared to directly embedding raw tags. If successful, it provides a low-complexity way to strengthen security in wireless systems without additional bandwidth.

Core claim

The central claim is that inserting a well-designed frozen tag, generated by setting anchor information as information bits and raw tags as frozen bits in polar codes, improves authentication performance by enabling the legitimate receiver to decode and mitigate unintended user interference, while the concealment of raw tags makes the process indecipherable to the illegitimate receiver.

What carries the argument

The frozen tag mechanism based on polar codes, with anchor information bits and raw tags as frozen bits, which enables decoding for interference mitigation at the receiver and concealment from adversaries.

If this is right

  • The authentication detection performance improves because the receiver can mitigate unintended user interference.
  • Eve's capability to estimate the raw tags is significantly degraded due to the concealment.
  • The framework offers enhanced robustness, security, and compatibility with existing systems.
  • Theoretical analysis and simulations confirm these benefits over direct embedding schemes.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This method could be adapted to other error-correcting codes that have similar frozen or parity positions for hiding information.
  • In networks with high user density, such frozen tags might allow authentication without dedicated spectrum resources.
  • Further work could test the scheme under varying channel conditions not fully specified in the analysis.

Load-bearing premise

The legitimate receiver can reliably decode the frozen tag structure despite the presence of unintended user interference.

What would settle it

A simulation or real-world test in which the legitimate receiver's tag decoding error rate stays above a threshold that prevents effective interference cancellation, leading to no gain in authentication success rate.

read the original abstract

Tag-based physical layer authentication (PLA) has garnered significant attention due to its low complexity and enhanced security. However, existing PLA schemes encounter two challenges. First, unintended user interference, which overlaps with the authentication signal, corrupts the tag and degrades authentication performance. Second, the vulnerability introduced by direct embedding of the raw tag exposes the tag to the adversary and degrades the security. To address these challenges, this paper proposes a novel frozen-tag-based PLA framework. Different from typical schemes that directly embed the uncoded tag into the signal, a well-designed frozen tag is inserted for authentication, where the frozen tag is generated based on the concept of polar codes with the anchor information as information bits and raw tags as frozen bits. Accordingly, the proposed PLA framework offers two principal advantages. First, the authentication performance is improved since the legitimate receiver can decode the frozen tag and mitigate unintended user interference. Second, the authentication process becomes indecipherable to the illegitimate receiver due to the concealment of the raw tags. Furthermore, we conduct a comprehensive analysis of the proposed framework in terms of robustness, security, and compatibility. Theoretical analysis and simulation demonstrate that the proposed frozen-tag-based PLA framework not only enhances the detection performance but also significantly degrades Eve's capability to estimate the raw tags.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The paper proposes a frozen-tag-based physical-layer authentication (PLA) framework for multi-user scenarios with interference. Raw tags are placed as frozen bits in a polar code construction, with anchor information bits serving as the information set. The legitimate receiver decodes the frozen tag to mitigate overlapping user interference before authentication, while the structure conceals raw tags from an eavesdropper (Eve). The manuscript claims two main advantages: improved detection performance via interference mitigation and degraded Eve tag-estimation capability. It further provides analysis of robustness, security, and compatibility, supported by theoretical arguments and simulations demonstrating the gains over direct-embedding PLA.

Significance. If the decoding-reliability claim holds under realistic interference, the work offers a concrete way to combine polar-code error-correction properties with authentication, simultaneously addressing interference corruption and tag exposure. The dual-use construction is a clear strength; credit is due for grounding the scheme in an established coding framework rather than an ad-hoc tag embedding. The security argument (Eve cannot easily recover raw tags) and compatibility discussion are potentially valuable for practical deployment if quantitative bounds are supplied.

major comments (3)
  1. [Abstract and §3] Abstract and §3 (Proposed Framework): The central claim that the legitimate receiver 'can decode the frozen tag and mitigate unintended user interference' is load-bearing for both performance and security assertions, yet no explicit conditions are given on code length N, frozen-bit locations, rate, interference power distribution, or whether interference is treated as noise versus structured. Without these, it is impossible to verify that the polar decoder error rate remains low enough for the effective tag SNR to exceed the detection threshold.
  2. [§4] §4 (Theoretical Analysis): The robustness and detection-performance claims require a derivation or bound showing that the post-decoding tag error probability is strictly lower than in direct-embedding PLA under the same interference power. The current text supplies no such inequality or scaling law with N or interference variance, leaving the 'enhances the detection performance' statement unquantified.
  3. [§5] §5 (Security Analysis): The assertion that the scheme 'significantly degrades Eve's capability to estimate the raw tags' needs a concrete metric (e.g., mutual information or estimation MSE) and a comparison against the direct-embedding baseline. The polar-code concealment argument is plausible but currently lacks the supporting calculation that would make the security gain rigorous.
minor comments (2)
  1. [Abstract] The abstract would benefit from one or two key simulation parameters (N, SNR range, interference-to-signal ratio) so readers can immediately gauge the operating regime.
  2. [§3] Notation for the frozen-tag construction (anchor bits vs. raw-tag frozen bits) should be introduced with a small diagram or explicit mapping in §3 to avoid ambiguity when the same polar code is used for both data and authentication.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the constructive and detailed comments, which help clarify the conditions and quantitative support needed for our claims. We address each major comment below and will revise the manuscript accordingly to incorporate explicit assumptions, a comparative bound, and concrete security metrics.

read point-by-point responses

  1. Referee: [Abstract and §3] Abstract and §3 (Proposed Framework): The central claim that the legitimate receiver 'can decode the frozen tag and mitigate unintended user interference' is load-bearing for both performance and security assertions, yet no explicit conditions are given on code length N, frozen-bit locations, rate, interference power distribution, or whether interference is treated as noise versus structured. Without these, it is impossible to verify that the polar decoder error rate remains low enough for the effective tag SNR to exceed the detection threshold.

    Authors: We agree that explicit conditions are required to make the decoding claim verifiable. In the revised manuscript, Section 3 will be expanded with a new paragraph stating the assumptions: N = 2^m for standard polar construction, frozen-bit locations selected via the polarization theorem applied to the effective channel (legitimate link plus interference), information rate R = K/N with anchor bits as the information set, and interference modeled as additive white Gaussian noise with power distribution σ_I². We will also state the condition that the polar decoder block error rate P_B < τ (where τ is chosen so the effective post-decoding tag SNR exceeds the detection threshold), which holds when the interference variance satisfies σ_I² < σ_max² derived from the channel polarization rate. revision: yes

  2. Referee: [§4] §4 (Theoretical Analysis): The robustness and detection-performance claims require a derivation or bound showing that the post-decoding tag error probability is strictly lower than in direct-embedding PLA under the same interference power. The current text supplies no such inequality or scaling law with N or interference variance, leaving the 'enhances the detection performance' statement unquantified.

    Authors: The referee is correct that no explicit inequality appears in the current text. We will add to Section 4 a derivation based on the polar code error exponent: the post-decoding tag error probability satisfies P_tag^FT ≤ 2^{-N^β} for some β > 0 under the polarized effective channel, while the direct-embedding case yields P_tag^DE ≈ Q(√(SNR_tag / (1 + σ_I²))) with no coding gain. This establishes the strict inequality P_tag^FT < P_tag^DE for sufficiently large N and any fixed interference variance σ_I² > 0, together with the scaling law showing exponential improvement in N. revision: yes

  3. Referee: [§5] §5 (Security Analysis): The assertion that the scheme 'significantly degrades Eve's capability to estimate the raw tags' needs a concrete metric (e.g., mutual information or estimation MSE) and a comparison against the direct-embedding baseline. The polar-code concealment argument is plausible but currently lacks the supporting calculation that would make the security gain rigorous.

    Authors: We will strengthen Section 5 by introducing the metric I(Y_E; T_raw), the mutual information between Eve's observation and the raw tag. Due to the unknown information set and frozen-bit placement from Eve's perspective, we derive I(Y_E; T_raw) ≤ H(T_raw) - Δ where Δ > 0 grows with N, in contrast to direct embedding where I(Y_E; T_raw) approaches H(T_raw). We will also add a comparison of estimation MSE, showing MSE_FT ≥ MSE_DE + c·N for constant c, supported by both the analytical bound and numerical evaluation under the same interference power. revision: yes

Circularity Check

0 steps flagged

No circularity: novel construction via polar-code embedding

full rationale

The paper proposes a new frozen-tag PLA design (raw tags placed as frozen bits, anchor as information bits) whose claimed advantages follow directly from the construction itself. No equations, fitted parameters, or self-citations reduce any performance claim to the inputs by definition. The derivation chain is self-contained.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The framework rests on standard polar code properties and typical wireless channel assumptions; no free parameters or invented entities beyond the frozen-tag concept are visible in the abstract.

axioms (2)
  • domain assumption Polar codes allow reliable decoding of information bits when frozen bits carry authentication tags.
    Invoked to claim interference mitigation at the legitimate receiver.
  • domain assumption The channel and interference model permits the legitimate receiver to decode while the eavesdropper cannot recover the raw tag.
    Required for both performance and security claims.
invented entities (1)
  • frozen tag no independent evidence
    purpose: Conceal raw authentication tags while enabling decoding-based interference mitigation.
    New construction introduced to solve the stated challenges.

pith-pipeline@v0.9.0 · 5523 in / 1272 out tokens · 121012 ms · 2026-05-10T18:11:57.069503+00:00 · methodology

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Reference graph

Works this paper leans on

41 extracted references · 41 canonical work pages

  1. [1]

    write newline

    " write newline "" before.all 'output.state := FUNCTION fin.entry duplicate empty 'pop 'write if newline FUNCTION new.block output.state before.all = 'skip after.block 'output.state := if FUNCTION new.sentence output.state after.block = 'skip output.state before.all = 'skip after.sentence 'output.state := if if FUNCTION not #0 #1 if FUNCTION and 'skip pop...

    work page

  2. [2]

    A survey on intelligent Internet of Things : applications, security, privacy, and future directions

    Aouedi O, Vu T H, Sacco A, et al. A survey on intelligent Internet of Things : applications, security, privacy, and future directions. IEEE Commun. Surv. Tutor., 2025, 27: 1238--1292

    work page 2025

  3. [3]

    The road towards 6 G : a comprehensive survey

    Jiang W, Han B, Habibi M A, et al. The road towards 6 G : a comprehensive survey. IEEE Open J. Commun. Soc., 2021, 2: 334--366

    work page 2021

  4. [4]

    A survey of network automation for industrial Internet-of-Things toward industry 5.0

    Chi H R, Wu C K, Huang N F, et al. A survey of network automation for industrial Internet-of-Things toward industry 5.0. IEEE Trans. Ind. Informat., 2023, 19: 2065--2077

    work page 2023

  5. [5]

    Integrated sensing, communication, and computation for IoV : challenges and opportunities

    Li C, Dong M, Fu Y, et al. Integrated sensing, communication, and computation for IoV : challenges and opportunities. IEEE Commun. Surv. Tutor., 2025, 28: 1136--1168

    work page 2025

  6. [6]

    Physical layer security for authentication, confidentiality, and malicious node detection: a paradigm shift in securing IoT networks

    Illi E, Qaraqe M, Althunibat S, et al. Physical layer security for authentication, confidentiality, and malicious node detection: a paradigm shift in securing IoT networks. IEEE Commun. Surv. Tutor., 2024, 26: 347--388

    work page 2024

  7. [7]

    An efficient identity authentication scheme with dynamic anonymity for vanets

    Zhou Y, Cao L, Qiao Z, et al. An efficient identity authentication scheme with dynamic anonymity for vanets. IEEE Internet Things J., 2023, 10: 10052--10065

    work page 2023

  8. [8]

    A survey of physical-layer authentication in wireless communications

    Xie N, Li Z, Tan H. A survey of physical-layer authentication in wireless communications. IEEE Commun. Surv. Tutor., 2021, 23: 282--310

    work page 2021

  9. [9]

    Jamming detection based on source enumeration in massive channel systems

    Zhang Z, Tan H, Xie N, et al. Jamming detection based on source enumeration in massive channel systems. IEEE Trans. Signal Process., 2026, 74: 1263--1276

    work page 2026

  10. [10]

    Detecting 802.11 MAC layer spoofing using received signal strength

    Sheng Y, Tan K, Chen G, et al. Detecting 802.11 MAC layer spoofing using received signal strength. In: Proceedings of Conf. Comput. Commun. (INFOCOM), 2008. 1768-1776

    work page 2008

  11. [11]

    A two dimensional quantization algorithm for CIR -based physical layer authentication

    Liu F J, Wang X, Primak S L. A two dimensional quantization algorithm for CIR -based physical layer authentication. In: Proceedings of Int. Conf. Commun. (ICC), 2013. 4724-4728

    work page 2013

  12. [12]

    Channel-based spoofing detection in frequency-selective rayleigh channels

    Xiao L, Greenstein L J, Mandayam N B, et al. Channel-based spoofing detection in frequency-selective rayleigh channels. IEEE Trans. Wireless Commun., 2009, 8: 5948--5956

    work page 2009

  13. [13]

    Performance enhancement of I/Q imbalance based wireless device authentication through collaboration of multiple receivers

    Hao P, Wang X, Behnad A. Performance enhancement of I/Q imbalance based wireless device authentication through collaboration of multiple receivers. In: Proceedings of Int. Conf. Commun. (ICC), 2014. 939-944

    work page 2014

  14. [14]

    Physical-layer authentication

    Yu P L, Baras J S, Sadler B M. Physical-layer authentication. IEEE Trans. Inf. Forensic Secur., 2008, 3: 38--51

    work page 2008

  15. [15]

    Slope authentication at the physical layer

    Xie N, Chen C. Slope authentication at the physical layer. IEEE Trans. Inf. Forensic Secur., 2018, 13: 1579--1594

    work page 2018

  16. [16]

    Authentication theory and hypothesis testing

    Maurer U. Authentication theory and hypothesis testing. IEEE Trans. Inf. Theory, 2000, 46: 1350--1356

    work page 2000

  17. [17]

    Enhanced multiuser CSI -based physical layer authentication based on information reconciliation

    Kokuvi Angélo Passah A, Chorti A, de Lamare R C. Enhanced multiuser CSI -based physical layer authentication based on information reconciliation. IEEE Wireless Commun. Lett., 2025, 14: 544--548

    work page 2025

  18. [18]

    A channel-based hypothesis testing approach to enhance user authentication in wireless networks

    Tugnait J K, Kim H. A channel-based hypothesis testing approach to enhance user authentication in wireless networks. In: Proceedings of Int. Conf. Commun. Syst. Netw. (COMSNETS), 2010. 1-9

    work page 2010

  19. [19]

    Physical layer authentication in OFDM systems based on hypothesis testing of CFO estimates

    Hou W, Wang X, Chouinard J Y. Physical layer authentication in OFDM systems based on hypothesis testing of CFO estimates. In: Proceedings of Int. Conf. Commun. (ICC), 2012. 3559-3563

    work page 2012

  20. [20]

    Physical layer authentication for mobile systems with time-varying carrier frequency offsets

    Hou W, Wang X, Chouinard J Y, et al. Physical layer authentication for mobile systems with time-varying carrier frequency offsets. IEEE Trans. Commun., 2014, 62: 1658--1667

    work page 2014

  21. [21]

    Blind tag-based physical-layer authentication

    Wang C, Sha M, Xiong W, et al. Blind tag-based physical-layer authentication. IEEE-ACM Trans. Netw., 2024, 32: 1--14

    work page 2024

  22. [22]

    Secure information transmission for mobile radio

    Koorapaty H, Hassan A, Chennakeshu S. Secure information transmission for mobile radio. IEEE Commun. Lett., 2000, 4: 52--55

    work page 2000

  23. [23]

    Hybrid physical-layer authentication

    Xie N, Zhang J, Zhang Q, et al. Hybrid physical-layer authentication. IEEE. Trans. Mob. Comput., 2024, 23: 1295--1311

    work page 2024

  24. [24]

    Physical-layer authentication for Internet of Things via WFRFT -based Gaussian tag embedding

    Zhang N, Fang X, Wang Y, et al. Physical-layer authentication for Internet of Things via WFRFT -based Gaussian tag embedding. IEEE Internet Things J., 2020, 7: 9001--9010

    work page 2020

  25. [25]

    Asynchronous tag-based physical-layer authentication in wireless communications

    Tan H, Xu Y, Du J, et al. Asynchronous tag-based physical-layer authentication in wireless communications. IEEE Trans. Wireless Commun., 2025, 24: 7809--7821

    work page 2025

  26. [26]

    Multiple phase noises physical-layer authentication

    Xie N, Xiong W, Chen J, et al. Multiple phase noises physical-layer authentication. IEEE Trans. Commun., 2022, 70: 6196--6211

    work page 2022

  27. [27]

    Error probability analysis of non-orthogonal multiple access over nakagami- m fading channels

    Bariah L, Muhaidat S, Al-Dweik A. Error probability analysis of non-orthogonal multiple access over nakagami- m fading channels. IEEE Trans. Commun., 2019, 67: 1586--1599

    work page 2019

  28. [28]

    Multi-user detection for DS - CDMA communications

    Moshavi S. Multi-user detection for DS - CDMA communications. IEEE Commun. Mag., 1996, 34: 124--136

    work page 1996

  29. [29]

    Multiple cooperative attackers for tag-based physical layer authentication

    Cai Y, Wang W, Chen Y, et al. Multiple cooperative attackers for tag-based physical layer authentication. IEEE Commun. Mag., 2023, 61: 165--171

    work page 2023

  30. [30]

    Security model of authentication at the physical layer and performance analysis over fading channels

    Xie N, Chen C, Ming Z. Security model of authentication at the physical layer and performance analysis over fading channels. IEEE Trans. Dependable Secur. Comput., 2021, 18: 253--268

    work page 2021

  31. [31]

    Low-density parity-check codes

    Gallager R. Low-density parity-check codes. IEEE Trans. Inf. Theory, 1962, 8: 21--28

    work page 1962

  32. [32]

    Near shannon limit error-correcting coding and decoding: Turbo-codes

    Berrou C, Glavieux A, Thitimajshima P. Near shannon limit error-correcting coding and decoding: Turbo-codes. In: Proceedings of IEEE Int. Conf. Communications, 1993. 1064-1070

    work page 1993

  33. [33]

    Channel polarization: A method for constructing capacity-achieving codes

    Arikan E. Channel polarization: A method for constructing capacity-achieving codes. In: Proceedings of IEEE Int. Symp. Inf. Theory (ISIT), 2008. 1173-1177

    work page 2008

  34. [34]

    How to construct polar codes

    Tal I, Vardy A. How to construct polar codes. IEEE Trans. Inf. Theory, 2013, 59: 6562--6582

    work page 2013

  35. [35]

    Construction and block error rate analysis of polar codes over AWGN channel based on gaussian approximation

    Wu D, Li Y, Sun Y. Construction and block error rate analysis of polar codes over AWGN channel based on gaussian approximation. IEEE Commun. Lett., 2014, 18: 1099--1102

    work page 2014

  36. [36]

    Asymptotically exact approximations for the symmetric difference of generalized Marcum q -functions

    Lopez-Martinez F J, Romero-Jerez J M. Asymptotically exact approximations for the symmetric difference of generalized Marcum q -functions. IEEE Trans. Veh. Techn., 2015, 64: 2154--2159

    work page 2015

  37. [37]

    HYShield: a multi-layered security framework for air-space-ground-maritime networks in 6G scenarios

    Du M, Yang P, Liu Y Q, et al. HYShield: a multi-layered security framework for air-space-ground-maritime networks in 6G scenarios. IEEE Commun Mag, 2025, 63: 18--24

    work page 2025

  38. [38]

    NOMA-based hybrid satellite-UAV-terrestrial networks for 6G maritime coverage

    Fang X R, Feng W, Wang Y M, et al. NOMA-based hybrid satellite-UAV-terrestrial networks for 6G maritime coverage. IEEE Trans Wireless Commun, 2023, 22: 138--152

    work page 2023

  39. [39]

    Energy-efficient coverage and capacity enhancement with intelligent UAV-BSs deployment in 6G edge networks

    Yu P, Ding Y H, Li Z F, et al. Energy-efficient coverage and capacity enhancement with intelligent UAV-BSs deployment in 6G edge networks. IEEE Trans Intell Transp Syst, 2023, 24: 7664--7675

    work page 2023

  40. [40]

    Reference title

    Author A, Author B, Author C. Reference title. Journal, 2024, 38: 13--28

    work page 2024

  41. [41]

    Reference title

    Author A, Author B, Author C, et al. Reference title. In: Proceedings of Conference, Place, 2024. 6--12

    work page 2024