NDLI: Secure computation in a bidirectional relay

Content Provider	IEEE Xplore Digital Library
Author	Kashyap, N. Shashank, V. Thangaraj, A.
Copyright Year	2012
Description	Author affiliation: Dept. of Electrical Engineering, Indian Institute of Technology, Madras, India (Thangaraj, A.) \|\| Dept. of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India (Kashyap, N.; Shashank, V.)
Abstract	Bidirectional relaying, where a relay helps two user nodes to exchange equal length binary messages, has been an active area of recent research. A popular strategy involves a modified Gaussian MAC, where the relay decodes the XOR of the two messages using the naturally-occurring sum of symbols simultaneously transmitted by user nodes. In this work, we consider the Gaussian MAC in bidirectional relaying with an additional secrecy constraint for protection against a honest but curious relay. The constraint is that, while the relay should decode the XOR, it should be fully ignorant of the individual messages of the users. We exploit the symbol addition that occurs in a Gaussian MAC to design explicit strategies that achieve perfect independence between the received symbols and individual transmitted messages. Our results actually hold for a more general scenario where the messages at the two user nodes come from a finite Abelian group G, and the relay must decode the sum within G of the two messages. We provide a lattice coding strategy and study optimal rate versus average power trade-offs for asymptotically large dimensions.
Starting Page	1162
Ending Page	1166
File Size	148565
Page Count	5
File Format	PDF
ISBN	9781467325806
ISSN	21578117
e-ISBN	9781467325790
e-ISBN	9781467325783
DOI	10.1109/ISIT.2012.6283036
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lattices Relays Random variables Security Encoding Modulation Network coding
Content Type	Text
Resource Type	Article

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