Journal
IEEE COMMUNICATIONS LETTERS
Volume 5, Issue 2, Pages 58-60Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/4234.905935
Keywords
density evolution; low-density parity-check codes; Shannon limit; sum-product algorithm
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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(7).
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