Change search
ReferencesLink to record
Permanent link

Direct link
Performance analysis and design of two edge-type LDPC codes for the BEC wiretap channel
Nvidia Corporation, United States.
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9307-484X
Klipsch School of Electrical and Computer Engineering New Mexico State University.
Show others and affiliations
2013 (English)In: IEEE Transactions on Information Theory, ISSN 0018-9448, Vol. 59, no 2, 1048-1064 p.Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
2013. Vol. 59, no 2, 1048-1064 p.
Keyword [en]
Binary erasure channel, Code construction, Degree distributions, Encoding schemes, Ensemble averages, LDPC codes, Low-density parity-check (LDPC) codes, Performance analysis, Wiretap channel
National Category
URN: urn:nbn:se:kth:diva-117767DOI: 10.1109/TIT.2012.2219577ISI: 000313728800024ScopusID: 2-s2.0-84872536384OAI: diva2:602957
Swedish Research Council

QC 20130211

Available from: 2013-02-04 Created: 2013-02-04 Last updated: 2013-03-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Rathi, VishwambharAndersson, MattiasThobaben, RagnarSkoglund, Mikael
By organisation
Communication TheoryACCESS Linnaeus Centre
In the same journal
IEEE Transactions on Information Theory

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 49 hits
ReferencesLink to record
Permanent link

Direct link