On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit
Sae-Young Chung, G. David Forney, Tom Richardson, Rudiger L. Urbanke · IEEE Communications Letters · 2001
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/.