Proceedings of the IRE · 1961 · 606 citations · 15 references
EngineeringComputer EngineeringComputer ScienceFault ToleranceFault-tolerant ComputingFault-tolerant SystemsChannel CodingCoding TheoryError Control CodingError CorrectionError DetectionError-correcting CodesBinary CodesCyclic CodesError Correction CodesError Detection CircuitsError Detection CodesHamming Codes
Cyclic codes are defined and described from a new viewpoint involving polynomials. The basic properties of Hamming and Fire codes are derived. The potentialities of these codes for error detection and the equipment required for implementing error detection systems using cyclic codes are described in detail.
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On a class of error correcting binary group codes
R. C. Bose, D.K. Ray-Chaudhuri · Information and Control · 1960 · 1.3K citations
A Class of Binary Signaling Alphabets
D. Slepian · Bell System Technical Journal · 1956 · 195 citations
Further results on error correcting binary group codes
R. C. Bose, D.K. Ray-Chaudhuri · Information and Control · 1960 · 145 citations
Codes for the correction of 'clustered' errors
S. Reiger · IEEE Transactions on Information Theory · 1960 · 125 citations