Hamming Codes
Add P13 as an overall parity bit: 001110010100P13
Detect/Correct Rules as follows:
If C? 0, P=1 single error, correctable
If C ? 0, P=0 double error, uncorrectable
If C=0, P=1 error occurred in P13
Can also have far more sophisticated schemes
Covered in detail in communication & information theory courses