The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit
Open accessAbstract
We develop improved algorithms to construct good low-density parity-check codes that approach the Shannon limit very closely. For rate 1/2, the best code found has a threshold within 0.0045 dB of the Shannon limit of the binary-input additive white Gaussian noise channel. Simulation results with a somewhat simpler code show that we can achieve within 0.04 dB of the Shannon limit at a bit error rate of 10/sup -6/ using a block length of 10/sup 7/.
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Cites
Low-density parity-check codes
Gallager, R. (1962) · IEEE Transactions on Information Theory · doi:10.1109/tit.1962.1057683 · Cited by 10,602
Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1
Berrou, C., Glavieux, A., & Thitimajshima, P. (2002) · Proceedings of ICC '93 - IEEE International Conference on Communications · doi:10.1109/icc.1993.397441 · Cited by 6,738
Low-Density Parity-Check Codes
Gallager, R. G. (1963) · The MIT Press eBooks · doi:10.7551/mitpress/4347.001.0001 · Cited by 4,401
Near Shannon limit error-correcting coding and decoding : Turbo-codes
Berrou, C. (1993) · International Conference on Communications · Cited by 4,264
Good error-correcting codes based on very sparse matrices
MacKay, D. J. C. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.748992 · Cited by 3,684
Design of capacity-approaching irregular low-density parity-check codes
Richardson, T. J., Shokrollahi, M. A., & Urbanke, R. L. (2001) · IEEE Transactions on Information Theory · doi:10.1109/18.910578 · Cited by 3,335
Self-citationThe capacity of low-density parity-check codes under message-passing decoding
Richardson, T. J., & Urbanke, R. L. (2001) · IEEE Transactions on Information Theory · doi:10.1109/18.910577 · Cited by 3,065
Self-citationNear Shannon limit performance of low density paritycheck codes
MacKay, D. J. C., & Neal, R. M. (1997) · Electronics Letters · doi:10.1049/el:19970362 · Cited by 2,678
Iterative decoding of binary block and convolutional codes
Hagenauer, J., Offer, E., & Papke, L. (1996) · IEEE Transactions on Information Theory · doi:10.1109/18.485714 · Cited by 2,303
Near Shannon limit performance of low density paritycheck codes
MacKay, D. J. C., & Neal, R. M. (1996) · Electronics Letters · doi:10.1049/el:19961141 · Cited by 1,923
Cited by
Convergence behavior of iteratively decoded parallel concatenated codes
ten Brink, S. (2001) · IEEE Transactions on Communications · doi:10.1109/26.957394 · Cited by 2,386
Decoding algorithms for surface codes
deMarti iOlius, A., Fuentes, P., Orús, R., Crespo, P. M., & Etxezarreta Martinez, J. (2024) · Quantum · doi:10.22331/q-2024-10-10-1498 · Cited by 60
Metadata
- Authors
- Chung, S.-Y., Forney, G. D., Richardson, T. J., & Urbanke, R.
- Venue
- IEEE Communications Letters
- Published
- 2001
- Volume
- 5
- Issue
- 2
- Pages
- 58-60
- ISSN
- 1089-7798 (ISSN-L)
- OpenAlex
- W2126259959
- Cited by
- 1,539
- References
- 12
- FWCI
- 79.91
- Type
- journal article
- Language
- en
- Open access
- green
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- Chung, S.-Y., Forney, G. D., Richardson, T. J., & Urbanke, R. (2001). On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit. IEEE Communications Letters. https://doi.org/10.1109/4234.905935
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