Binary linear-time erasure decoding for non-binary LDPC codes

@article{Savin2009BinaryLE,
  title={Binary linear-time erasure decoding for non-binary LDPC codes},
  author={Valentin Savin},
  journal={2009 IEEE Information Theory Workshop},
  year={2009},
  pages={258-262}
}
In this paper, we first introduce the extended binary representation of non-binary codes, which corresponds to a covering graph of the bipartite graph associated with the non-binary code. Then we show that non-binary codewords correspond to binary codewords of the extended representation that further satisfy some simplex-constraint: that is, bits lying over the same symbol-node of the non-binary graph must form a codeword of a simplex code. Applied to the binary erasure channel (BEC), this… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-6 of 6 extracted citations

Generalized Binary Representation for the Nonbinary LDPC Code With Decoder Design

IEEE Transactions on Communications • 2014
View 13 Excerpts
Highly Influenced

Design of Convergence-Optimized Non-Binary LDPC Codes over Binary Erasure Channel

IEEE Wireless Communications Letters • 2012
View 4 Excerpts
Highly Influenced

Cooperative decoder design for non-binary LDPC code with coefficients selection

2013 IEEE Global Communications Conference (GLOBECOM) • 2013
View 2 Excerpts

Fourier domain representation of non-binary LDPC codes

2012 IEEE International Symposium on Information Theory Proceedings • 2012
View 1 Excerpt

Enhancing Binary Images of Non-Binary LDPC Codes

2011 IEEE Global Telecommunications Conference - GLOBECOM 2011 • 2011

Extended non-binary Low-Density Parity-Check codes over erasure channels

2011 8th International Symposium on Wireless Communication Systems • 2011
View 4 Excerpts

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Conditional entropy of non-binary LDPC codes over the BEC

2008 IEEE International Symposium on Information Theory • 2008
View 1 Excerpt

Generalized LDPC codes and generalized stopping sets

IEEE Transactions on Communications • 2008
View 1 Excerpt

Non binary LDPC codes over the binary erasure channel: Density evolution analysis

2008 First International Symposium on Applied Sciences on Biomedical and Communication Technologies • 2008
View 2 Excerpts

Raptor codes

International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings. • 2004
View 1 Excerpt

LT Codes

FOCS • 2002
View 1 Excerpt

Similar Papers

Loading similar papers…