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ABSTRACT
<p>A parity check matrix is given for a systematic (12,8) binary code which connects all single errors and detects eight of the nine double adjacent errors within any of the three 4-b nibbles. It is shown that no (12,8) binary systematic parity check code can correct all 12 single errors and simultaneously detect all nine double adjacent errors within 4-b nibbles. A (12,8) binary systematic parity check code is given that corrects all 12 single errors and simultaneously detects eight of the nine double adjacent errors within 4-b nibbles.</p>
INDEX TERMS
systematic (12, 8) code; correcting single errors; detecting adjacent errors; parity check matrix; 4-b nibbles; systematic parity check code; error correction codes; error detection codes.
CITATION

J. Schwartz and J. Wolf, "A Systematic (12,8) Code for Correcting Single Errors and Detecting Adjacent Errors," in IEEE Transactions on Computers, vol. 39, no. , pp. 1403-1404, 1990.
doi:10.1109/12.61052
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