2004 · 42 citations · 11 references
EngineeringCommunicationComputer ScienceDigital CommunicationInformation TheoryChannel CapacityChannel CodingCoding TheoryError Control CodingError DetectionError-correcting CodesCode ConstructionsCyclic CodesLdpc CodesLow-density Parity-check CodesParity Check CodesParity-check MatricesQuasi-cyclic CodesShannon Entropy
The paper presents two classes of quasi-cyclic low-density parity-check (LDPC) codes which perform close to the Shannon limit. The construction of these codes is based on decomposition of circulant matrices constructed from finite geometries.
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Low-density parity-check codes
Robert G. Gallager · IEEE Transactions on Information Theory · 1962 · 10.6K citations · Full text