Nested polar codes for wiretap and relay channels

Mattias Andersson; Vishwambhar Rathi; Ragnar Thobaben; Jorg Kliewer; Mikael Skoglund

doi:10.1109/LCOMM.2010.08.100875

Nested polar codes for wiretap and relay channels

Mattias Andersson, Vishwambhar Rathi, Ragnar Thobaben, Jorg Kliewer, Mikael Skoglund

Research output: Contribution to journal › Article › peer-review

148 Scopus citations

Abstract

We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding scheme also achieves the capacity of the physically degraded receiver-orthogonal relay channel. We show simulation results for moderate block length for the binary erasure wiretap channel, comparing polar codes and two edge type LDPC codes.

Original language	English (US)
Article number	5545658
Pages (from-to)	752-754
Number of pages	3
Journal	IEEE Communications Letters
Volume	14
Issue number	8
DOIs	https://doi.org/10.1109/LCOMM.2010.08.100875
State	Published - Aug 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Computer Science Applications
Electrical and Electronic Engineering

Keywords

Polar codes
decode-and-forward
relay channel
wiretap channel

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10.1109/LCOMM.2010.08.100875

Cite this

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title = "Nested polar codes for wiretap and relay channels",

abstract = "We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding scheme also achieves the capacity of the physically degraded receiver-orthogonal relay channel. We show simulation results for moderate block length for the binary erasure wiretap channel, comparing polar codes and two edge type LDPC codes.",

keywords = "Polar codes, decode-and-forward, relay channel, wiretap channel",

author = "Mattias Andersson and Vishwambhar Rathi and Ragnar Thobaben and Jorg Kliewer and Mikael Skoglund",

note = "Funding Information: Manuscript received May 24, 2010. The associate editor coordinating the review of this letter and approving it for publication was S. Yousefi. V. Rathi, M. Andersson, R. Thobaben, and M. Skoglund are with the School of Electrical Engineering and the ACCESS Linnaeus Center, Royal Institute of Technology (KTH), Stockholm, Sweden (e-mail: {vish, amattias, ragnar.thobaben, skoglund}@ee.kth.se). J. Kliewer is with the Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM 88003, USA (e-mail: [email protected]). This work was supported in part by the Swedish Research Council. Digital Object Identifier 10.1109/LCOMM.2010.08.100875",

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T1 - Nested polar codes for wiretap and relay channels

AU - Andersson, Mattias

AU - Rathi, Vishwambhar

AU - Thobaben, Ragnar

AU - Kliewer, Jorg

AU - Skoglund, Mikael

N1 - Funding Information: Manuscript received May 24, 2010. The associate editor coordinating the review of this letter and approving it for publication was S. Yousefi. V. Rathi, M. Andersson, R. Thobaben, and M. Skoglund are with the School of Electrical Engineering and the ACCESS Linnaeus Center, Royal Institute of Technology (KTH), Stockholm, Sweden (e-mail: {vish, amattias, ragnar.thobaben, skoglund}@ee.kth.se). J. Kliewer is with the Klipsch School of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM 88003, USA (e-mail: [email protected]). This work was supported in part by the Swedish Research Council. Digital Object Identifier 10.1109/LCOMM.2010.08.100875

PY - 2010/8

Y1 - 2010/8

N2 - We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding scheme also achieves the capacity of the physically degraded receiver-orthogonal relay channel. We show simulation results for moderate block length for the binary erasure wiretap channel, comparing polar codes and two edge type LDPC codes.

AB - We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding scheme also achieves the capacity of the physically degraded receiver-orthogonal relay channel. We show simulation results for moderate block length for the binary erasure wiretap channel, comparing polar codes and two edge type LDPC codes.

KW - Polar codes

KW - decode-and-forward

KW - relay channel

KW - wiretap channel

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JO - IEEE Communications Letters

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ER -

Nested polar codes for wiretap and relay channels

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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