The Wiretap Channel With Generalized Feedback: Secure Communication and Key Generation

It is a well-known fact that feedback does not increase the capacity of point-to-point memoryless channels, however, its effect in secure communications is not fully understood yet. In this paper, an achievable scheme for the wiretap channel with generalized feedback is presented. This scheme, which...

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Bibliographic Details
Published in:IEEE transactions on information theory 2019-04, Vol.65 (4), p.2213-2233
Main Authors: Bassi, German, Piantanida, Pablo, Shamai Shitz, Shlomo
Format: Article
Language:English
Subjects:
Channel models
Channels
Computer Science
Cryptography
Decoding
Encoding
Feedback
Information Theory
Information-theoretic security
Mathematics
Networking and Internet Architecture
Noise measurement
Public Key Infrastructure
Receivers
secrecy capacity
secret key
secret key capacity
Statistics
Transmitters
wiretap channel
Wiretapping
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Summary:It is a well-known fact that feedback does not increase the capacity of point-to-point memoryless channels, however, its effect in secure communications is not fully understood yet. In this paper, an achievable scheme for the wiretap channel with generalized feedback is presented. This scheme, which uses the feedback signal to generate a shared secret key between the legitimate users, encrypts the message to be sent at the bit level. New capacity results for a class of channels are provided, as well as some new insights into the secret key agreement problem. Moreover, this scheme recovers previously reported rate regions from the literature, and thus it can be seen as a generalization that unifies several results in the field.
ISSN:0018-9448
1557-9654
1557-9654
DOI:10.1109/TIT.2018.2883299