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====Error detection and correction==== {{further|Error detection and correction}} * [[BCH Code]]s ** [[Berlekamp–Massey algorithm]] ** [[Peterson–Gorenstein–Zierler algorithm]] ** [[Reed–Solomon error correction]] * [[BCJR algorithm]]: decoding of error correcting codes defined on trellises (principally convolutional codes) * [[Forward error correction]] * [[Gray code]] * [[Hamming code]]s ** [[Hamming(7,4)]]: a [[Hamming code]] that encodes 4 bits of data into 7 bits by adding 3 parity bits ** [[Hamming distance]]: sum number of positions which are different ** [[Hamming weight]] (population count): find the number of 1 bits in a binary word * [[Redundancy check]]s ** [[Adler-32]] ** [[Cyclic redundancy check]] ** [[Damm algorithm]] ** [[Fletcher's checksum]] ** [[Longitudinal redundancy check]] (LRC) ** [[Luhn algorithm]]: a method of validating identification numbers ** [[Luhn mod N algorithm]]: extension of Luhn to non-numeric characters ** [[Parity bit|Parity]]: simple/fast error detection technique ** [[Verhoeff algorithm]]
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