Error detecting and error correcting codes
Hamming, Richard W.
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The theory of the representation of information in binary form such that at the receiving end any number of errors up to a given level can be detected and/or corrected without further information is presented. The paper gives explicit solutions for the cases of single error detection, single error correction, and single error correction plus double error detection. II also indicates the nature of the general case, and supplies a few relevant observations on the problem.
from Richard W. Hamming collection (NPS-018), Naval Postgraduate School. Papers and Speeches.This Week's Citation Classic, cc/Number 31, August 2, 1982