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All error-detection and correction schemes add some redundancy (i.e., some extra data) to a message, which receivers can use to check consistency of the delivered message and to recover data that has been determined to be corrupted.
Low-density parity-check (LDPC) codes are a class of highly efficient linear block codes made from many single parity check (SPC) codes. They can provide performance very close to the channel capacity (the theoretical maximum) using an iterated soft-decision decoding approach, at linear time complexity in terms of their block length.
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As explained earlier, it can either detect and correct single-bit errors or it can detect (but not correct) both single and double-bit errors. With the addition of an overall parity bit, it becomes the [8,4] extended Hamming code and can both detect and correct single-bit errors and detect (but not correct) double-bit errors.
It is an error-correcting code capable of correcting up to three errors in each 24-bit word, and detecting a fourth. Richard Hamming won the Turing Award in 1968 for his work at Bell Labs in numerical methods, automatic coding systems, and error-detecting and
A similar system from Intel, called Lockstep memory, provides double-device data correction (DDDC) functionality. [4] Similar systems from Micron , called redundant array of independent NAND (RAIN), and from SandForce , called RAISE level 2 , protect data stored on SSDs from any single NAND flash chip failure.
The block length of a block code is the number of symbols in a block. Hence, the elements of are strings of length and correspond to blocks that may be received by the receiver.
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