The Hamming distance is named after Richard Hamming, who introduced the concept in his fundamental paper on Hamming codes " Error detecting and error correcting codes " in 1950.
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It has also been proved that if the number of frequencies is a prime or a power of a prime, the orthogonal Latin squares produce error detecting codes that are as efficient as possible.
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Finally, some transport layer protocols, for example TCP, but not UDP, provide end-to-end reliable communication, i . e . error recovery by means of error detecting code and automatic repeat request ( ARQ ) protocol.
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A "'parity bit "', or "'check bit "', is a bit added to a string of binary code to ensure that the total number of 1-bits in the string is error detecting code.