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Check digits and parity bits are special cases of checksums, appropriate for small blocks of data (such as Social Security numbers, bank account numbers, computer words, single bytes, etc.). Some error-correcting codes are based on special checksums which not only detect common errors but also allow the original data to be recovered in certain ...
Bank of San Serriffe reward check. Knuth started rewarding people for discovering errors in his books after he published the first volume of The Art of Computer Programming in 1968. [2] Initially, Knuth sent real, negotiable checks to recipients. He stopped doing so in October 2008 because of problems with check fraud.
The advantage of choosing a primitive polynomial as the generator for a CRC code is that the resulting code has maximal total block length in the sense that all 1-bit errors within that block length have different remainders (also called syndromes) and therefore, since the remainder is a linear function of the block, the code can detect all 2 ...
The on-line textbook: Information Theory, Inference, and Learning Algorithms, by David J.C. MacKay, contains chapters on elementary error-correcting codes; on the theoretical limits of error-correction; and on the latest state-of-the-art error-correcting codes, including low-density parity-check codes, turbo codes, and fountain codes.
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.
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.
When Apple developed "a system-wide spelling checker" for Mac OS X so that "the operating system took over spelling fixes," [16] it was a first: one "didn't have to maintain a separate spelling checker for each" program. [17] Mac OS X's spellcheck coverage includes virtually all bundled and third party applications.
One 64 GiB DDR5-4800 ECC 1.1 V RDIMM. Registered, or buffered, memory is not the same as ECC; the technologies perform different functions. It is usual for memory used in servers to be both registered, to allow many memory modules to be used without electrical problems, and ECC, for data integrity.