IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Conditional Information Leakage Given Eavesdropper's Received Signals in Wiretap Channels
Yutaka JITSUMATSUUkyo MICHIWAKIYasutada OOHAMA
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2021 Volume E104.A Issue 1 Pages 295-304

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Abstract

Information leakage in Wyner's wiretap channel model is usually defined as the mutual information between the secret message and the eavesdropper's received signal. We define a new quantity called “conditional information leakage given the eavesdropper's received signals,” which expresses the amount of information that an eavesdropper gains from his/her received signal. A benefit of introducing this quantity is that we can develop a fast algorithm for computing the conditional information leakage, which has linear complexity in the code length n, while the complexity for computing the usual information leakage is exponential in n. Validity of such a conditional information leakage as a security criterion is confirmed by studying the cases of binary symmetric channels and binary erasure channels.

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© 2021 The Institute of Electronics, Information and Communication Engineers
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