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Regular and irregular progressive edge-growth tanner graphs
Abstract
We propose a general method for constructing Tanner graphs having a large girth by establishing edges or connections between symbol and check nodes in an edge-by-edge manner, called progressive edge-growth (PEG) algorithm. Lower bounds on the girth of PEG Tanner graphs and on the minimum distance of the resulting low-density parity-check (LDPC) codes are derived in terms of parameters of the graphs. Simple variations of the PEG algorithm can also be applied to generate linear-time encodeable LDPC codes. Regular and irregular LDPC codes using PEG Tanner graphs and allowing symbol nodes to take values over GF(q) (q>2) are investigated. Simulation results show that the PEG algorithm is a powerful algorithm to generate good short-block-length LDPC codes.
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Cites
Factor graphs and the sum-product algorithm
Kschischang, F. R., Frey, B. J., & Loeliger, H.-A. (2001) · IEEE Transactions on Information Theory · doi:10.1109/18.910572 · Cited by 6,486
Cited by
Secure quantum key distribution with realistic devices
Xu, F., Ma, X., Zhang, Q., Lo, H.-K., & Pan, J.-W. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.025002 · Cited by 1,543
Metadata
- Authors
- Hu, X.-Y., Eleftheriou, E., & Arnold, D. M.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2005-01
- Volume
- 51
- Issue
- 1
- Pages
- 386-398
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W1964402820
- Cited by
- 1,485
- References
- 1
- FWCI
- 77.41
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hu, X.-Y., Eleftheriou, E., & Arnold, D. M. (2005). Regular and irregular progressive edge-growth tanner graphs. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2004.839541
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