On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit

Abstract

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 6 using a block length of 10.

DOI: 10.1109/4234.905935

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@article{Chung2001OnTD, title={On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit}, author={Sae-Young Chung and G. David Forney and Thomas J. Richardson and R{\"{u}diger L. Urbanke}, journal={IEEE Communications Letters}, year={2001}, volume={5}, pages={58-60} }