DocumentCode :
68733
Title :
Information Spectrum Approach to Strong Converse Theorems for Degraded Wiretap Channels
Author :
Tan, Vincent Y. F. ; Bloch, Matthieu R.
Author_Institution :
Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore
Volume :
10
Issue :
9
fYear :
2015
fDate :
Sept. 2015
Firstpage :
1891
Lastpage :
1904
Abstract :
We consider block codes for degraded wiretap channels in which the legitimate receiver decodes the message with an asymptotic error probability no larger than ε but the leakage to the eavesdropper vanishes. For discrete memoryless and Gaussian wiretap channels, we show that the maximum rate of transmission does not depend on ε ∈ [0, 1), i.e., such channels possess the partial strong converse property. Furthermore, we derive sufficient conditions for the partial strong converse property to hold for memoryless but nonstationary symmetric and degraded wiretap channels. Our proof techniques leverage the information spectrum method, which allows us to establish a necessary and sufficient condition for the partial strong converse to hold for general wiretap channels without any information stability assumptions.
Keywords :
Gaussian channels; block codes; error statistics; telecommunication security; wireless channels; Gaussian wiretap channels; asymptotic error probability; block codes; degraded wiretap channels; discrete memoryless wiretap channels; eavesdropper; information spectrum method; legitimate receiver; partial strong converse property; Error probability; Manganese; Measurement; Mutual information; Random variables; Receivers; Zinc; Degraded wiretap channels; Information spectrum method; Information-theoretic security; Strong converse; degraded wiretap channels; information spectrum method; information-theoretic security;
fLanguage :
English
Journal_Title :
Information Forensics and Security, IEEE Transactions on
Publisher :
ieee
ISSN :
1556-6013
Type :
jour
DOI :
10.1109/TIFS.2015.2434592
Filename :
7109879
Link To Document :
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