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Among one of the best recognized are Hamming codes, invented in 1950 by US mathematician Richard Hamming to improve the accuracy and reliability of every kind of information transmissions. They work through the use of more error detection bits so that the place of an error in transmitted data may be found out and not simply the straightforward fact that an error has occurred. More sophisticated methods of detecting errors are often variants of checksums where, every now and then, you add collectively the numbers you’ve got beforehand despatched and then transmit the entire as a check. The receiver does the identical calculation and compares it with the checksum. But what if multiple errors occur , so they cancel each other out and go undetected? There are rather more subtle variations of checksums the place, instead of merely including the data you’ve transmitted, you process it in more advanced ways in which make it far more durable for errors to slip through.