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A systematic (12,8) code for correcting single errors and detecting adjacent errors

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2 Author(s)
Schwartz, J.W. ; Avtec Syst. Inc., Fairfax, VA, USA ; Wolf, J.K.

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

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Computers, IEEE Transactions on  (Volume:39 ,  Issue: 11 )