M. Blaum et al., A SYSTEMATIC (12,8) CODE FOR CORRECTING SINGLE ERRORS AND DETECTING ADJACENT ERRORS, I.E.E.E. transactions on computers, 43(1), 1994, pp. 125-125
Schwartz and Wolf give a parity check matrix for a systematic (12,8) b
inary code that corrects all single errors and detects eight of the ni
ne double adjacent errors within any of the three 4-bit nibbles. Here,
we present a parity check matrix for a systematic (12,8) binary code
that corrects all single errors and detects any pair of errors within
a nibble.