Non-Adaptive Coding for Two-Way Wiretap Channel With or Without Cost Constraints

This paper studies the secrecy results for the two-way wiretap channel (TW-WC) with an external eavesdropper under a strong secrecy metric. Employing non-adaptive coding, we analyze the information leakage and the decoding error probability, and derive inner bounds on the secrecy capacity regions fo...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 70; no. 7; pp. 4611 - 4633
Main Authors: Hayashi, Masahito, Chen, Yanling
Format: Journal Article
Language:English
Published: New York IEEE 01.07.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Additives
Channel coding
Codes
Coding
constant composition codes
Costs
Decoding
Electronic surveillance
error exponent
Exponents
Information leakage
Jamming
Mutual information
R\'enyi mutual information
two-way channel
Wiretapping
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:This paper studies the secrecy results for the two-way wiretap channel (TW-WC) with an external eavesdropper under a strong secrecy metric. Employing non-adaptive coding, we analyze the information leakage and the decoding error probability, and derive inner bounds on the secrecy capacity regions for the TW-WC under strong joint and individual secrecy constraints. For the TW-WC without cost constraint, both the secrecy and error exponents could be characterized by the conditional Rényi mutual information in a concise and compact form. And, some special cases secrecy capacity region and sum-rate capacity results are established, demonstrating that adaption is useless in some cases or the maximum sum-rate that could be achieved by non-adaptive coding. For the TW-WC with cost constraint, we consider the peak cost constraint and extend our secrecy results by using the constant composition codes. Accordingly, we characterize both the secrecy and error exponents by a modification of Rényi mutual information, which yields inner bounds on the secrecy capacity regions for the general discrete memoryless TW-WC with cost constraint. Our method works even when a pre-noisy processing is employed based on a conditional distribution in the encoder and can be easily extended to other multi-user communication scenarios.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2023.3343362