TY - GEN
T1 - Wiretap channel II with a noisy main channel
AU - Nafea, Mohamed
AU - Yener, Aylin
PY - 2015/9/28
Y1 - 2015/9/28
N2 - In this paper, a wiretap channel where the transmitter and receiver communicate through a discrete memoryless channel, and the eavesdropper (Eve) has perfect access to a fixed fraction of transmitted symbols (of its choosing) is considered. An outer bound for the rate-equivocation region of the channel, for all such fractions, is derived. An achievable scheme, which provides an inner bound for the rate-equivocation region, is proposed. The achievability is established by defining a class of good codebooks for which there exists a good partition that achieves the required level of equivocation no matter what subset of symbols Eve chooses. It is shown that, for a uniform input distribution, the probability of this class of good codes approaches 1 as the block length increases. This generalizes the wiretap II model to one with a noisy main channel.
AB - In this paper, a wiretap channel where the transmitter and receiver communicate through a discrete memoryless channel, and the eavesdropper (Eve) has perfect access to a fixed fraction of transmitted symbols (of its choosing) is considered. An outer bound for the rate-equivocation region of the channel, for all such fractions, is derived. An achievable scheme, which provides an inner bound for the rate-equivocation region, is proposed. The achievability is established by defining a class of good codebooks for which there exists a good partition that achieves the required level of equivocation no matter what subset of symbols Eve chooses. It is shown that, for a uniform input distribution, the probability of this class of good codes approaches 1 as the block length increases. This generalizes the wiretap II model to one with a noisy main channel.
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U2 - 10.1109/ISIT.2015.7282637
DO - 10.1109/ISIT.2015.7282637
M3 - Conference contribution
AN - SCOPUS:84969765004
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1159
EP - 1163
BT - Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - IEEE International Symposium on Information Theory, ISIT 2015
Y2 - 14 June 2015 through 19 June 2015
ER -