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Capacity-achieving ensembles for the binary erasure channel with bounded complexity

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Pfister, H; Sason, I; Urbanke, R
Published in: IEEE International Symposium on Information Theory Proceedings
January 1, 2004

We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the binary erasure channel (BEC) with bounded complexity. This is in contrast to all previous constructions of capacity-achieving sequences of ensembles whose complexity grows at least like the log of the inverse of the gap to capacity. The new bounded complexity result is achieved by allowing a sufficient number of state nodes in the Tanner graph representing the codes.

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Published In

IEEE International Symposium on Information Theory Proceedings

DOI

ISSN

2157-8095

Publication Date

January 1, 2004

Start / End Page

207
 

Citation

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Pfister, H., Sason, I., & Urbanke, R. (2004). Capacity-achieving ensembles for the binary erasure channel with bounded complexity. In IEEE International Symposium on Information Theory Proceedings (p. 207). https://doi.org/10.1109/ISIT.2004.1365246
Pfister, H., I. Sason, and R. Urbanke. “Capacity-achieving ensembles for the binary erasure channel with bounded complexity.” In IEEE International Symposium on Information Theory Proceedings, 207, 2004. https://doi.org/10.1109/ISIT.2004.1365246.
Pfister H, Sason I, Urbanke R. Capacity-achieving ensembles for the binary erasure channel with bounded complexity. In: IEEE International Symposium on Information Theory Proceedings. 2004. p. 207.
Pfister, H., et al. “Capacity-achieving ensembles for the binary erasure channel with bounded complexity.” IEEE International Symposium on Information Theory Proceedings, 2004, p. 207. Scopus, doi:10.1109/ISIT.2004.1365246.
Pfister H, Sason I, Urbanke R. Capacity-achieving ensembles for the binary erasure channel with bounded complexity. IEEE International Symposium on Information Theory Proceedings. 2004. p. 207.

Published In

IEEE International Symposium on Information Theory Proceedings

DOI

ISSN

2157-8095

Publication Date

January 1, 2004

Start / End Page

207