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Performance analysis and design of two edge-type LDPC codes for the BEC wiretap channel
Nvidia Corporation, United States.
KTH, Skolan för elektro- och systemteknik (EES), Kommunikationsteori. KTH, Skolan för elektro- och systemteknik (EES), Centra, ACCESS Linnaeus Centre.
KTH, Skolan för elektro- och systemteknik (EES), Kommunikationsteori. KTH, Skolan för elektro- och systemteknik (EES), Centra, ACCESS Linnaeus Centre.ORCID-id: 0000-0001-9307-484X
Klipsch School of Electrical and Computer Engineering New Mexico State University.
Vise andre og tillknytning
2013 (engelsk)Inngår i: IEEE Transactions on Information Theory, ISSN 0018-9448, E-ISSN 1557-9654, Vol. 59, nr 2, s. 1048-1064Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider transmission over a wiretap channel where both the main channel and the wiretapper's channel are binary erasure channels (BEC). A code construction method is proposed using two edge-type low-density parity-check (LDPC) codes based on the coset encoding scheme. Using a single edge-type LDPC ensemble with a given threshold over the BEC, we give a construction for a two edge-type LDPC ensemble with the same threshold. If the given single edge-type LDPC ensemble has degree two variable nodes, our construction gives rise to degree one variable nodes in the code used over the main channel. This results in zero threshold over the main channel. In order to circumvent this problem, the degree distribution of the two edge-type LDPC ensemble is numerically optimized. We find that the resulting ensembles are able to perform close to the boundary of the rate-equivocation region of the wiretap channel. Further, a method to compute the ensemble average equivocation of two edge-type LDPC ensembles is provided by generalizing a recently published approach to measure the equivocation of single edge-type ensembles for transmission over the BEC in the point-to-point setting. From this analysis, we find that relatively simple constructions give very good secrecy performance.

sted, utgiver, år, opplag, sider
2013. Vol. 59, nr 2, s. 1048-1064
Emneord [en]
Binary erasure channel, Code construction, Degree distributions, Encoding schemes, Ensemble averages, LDPC codes, Low-density parity-check (LDPC) codes, Performance analysis, Wiretap channel
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Identifikatorer
URN: urn:nbn:se:kth:diva-117767DOI: 10.1109/TIT.2012.2219577ISI: 000313728800024Scopus ID: 2-s2.0-84872536384OAI: oai:DiVA.org:kth-117767DiVA, id: diva2:602957
Forskningsfinansiär
Swedish Research Council
Merknad

QC 20130211

Tilgjengelig fra: 2013-02-04 Laget: 2013-02-04 Sist oppdatert: 2017-12-06bibliografisk kontrollert

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Thobaben, RagnarSkoglund, Mikael

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Rathi, VishwambharAndersson, MattiasThobaben, RagnarSkoglund, Mikael
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